// OLAP cube facts dataset for pivot tables (olap-cube-facts-dataset-for-pivot-tables) v1 — Prisma seed
// Synthetic sample data, CC0-1.0. Generated deterministically; re-running the
// generator with the same spec and seed reproduces this file exactly.
//
// Delegates are named after the tables (prisma.channels), which assumes models
// mapped to those table names. Rename the delegates if your models differ.
import { PrismaClient } from '@prisma/client';

const prisma = new PrismaClient();

async function main() {
    await prisma.channels.createMany({
        data: [
            { id: 1, scope: "routes to market", name: "Online store", demand_factor: "1.10", price_factor: "1.00" },
            { id: 2, scope: "routes to market", name: "Own stores", demand_factor: "0.80", price_factor: "1.00" },
            { id: 3, scope: "routes to market", name: "Wholesale", demand_factor: "0.55", price_factor: "0.72" },
        ],
    });
    await prisma.months.createMany({
        data: [
            { id: 1, scope: "calendar", month_label: "2024-01", year: "2024", quarter: "Q1", month_name: "January", season_index: "1.000" },
            { id: 2, scope: "calendar", month_label: "2024-02", year: "2024", quarter: "Q1", month_name: "February", season_index: "1.102" },
            { id: 3, scope: "calendar", month_label: "2024-03", year: "2024", quarter: "Q1", month_name: "March", season_index: "1.180" },
            { id: 4, scope: "calendar", month_label: "2024-04", year: "2024", quarter: "Q2", month_name: "April", season_index: "1.216" },
            { id: 5, scope: "calendar", month_label: "2024-05", year: "2024", quarter: "Q2", month_name: "May", season_index: "1.204" },
            { id: 6, scope: "calendar", month_label: "2024-06", year: "2024", quarter: "Q2", month_name: "June", season_index: "1.150" },
            { id: 7, scope: "calendar", month_label: "2024-07", year: "2024", quarter: "Q3", month_name: "July", season_index: "1.072" },
            { id: 8, scope: "calendar", month_label: "2024-08", year: "2024", quarter: "Q3", month_name: "August", season_index: "0.994" },
            { id: 9, scope: "calendar", month_label: "2024-09", year: "2024", quarter: "Q3", month_name: "September", season_index: "0.940" },
            { id: 10, scope: "calendar", month_label: "2024-10", year: "2024", quarter: "Q4", month_name: "October", season_index: "0.928" },
            { id: 11, scope: "calendar", month_label: "2024-11", year: "2024", quarter: "Q4", month_name: "November", season_index: "0.964" },
            { id: 12, scope: "calendar", month_label: "2024-12", year: "2024", quarter: "Q4", month_name: "December", season_index: "1.042" },
            { id: 13, scope: "calendar", month_label: "2025-01", year: "2025", quarter: "Q1", month_name: "January", season_index: "1.144" },
            { id: 14, scope: "calendar", month_label: "2025-02", year: "2025", quarter: "Q1", month_name: "February", season_index: "1.246" },
            { id: 15, scope: "calendar", month_label: "2025-03", year: "2025", quarter: "Q1", month_name: "March", season_index: "1.324" },
            { id: 16, scope: "calendar", month_label: "2025-04", year: "2025", quarter: "Q2", month_name: "April", season_index: "1.360" },
            { id: 17, scope: "calendar", month_label: "2025-05", year: "2025", quarter: "Q2", month_name: "May", season_index: "1.348" },
            { id: 18, scope: "calendar", month_label: "2025-06", year: "2025", quarter: "Q2", month_name: "June", season_index: "1.294" },
            { id: 19, scope: "calendar", month_label: "2025-07", year: "2025", quarter: "Q3", month_name: "July", season_index: "1.216" },
            { id: 20, scope: "calendar", month_label: "2025-08", year: "2025", quarter: "Q3", month_name: "August", season_index: "1.138" },
            { id: 21, scope: "calendar", month_label: "2025-09", year: "2025", quarter: "Q3", month_name: "September", season_index: "1.084" },
            { id: 22, scope: "calendar", month_label: "2025-10", year: "2025", quarter: "Q4", month_name: "October", season_index: "1.072" },
            { id: 23, scope: "calendar", month_label: "2025-11", year: "2025", quarter: "Q4", month_name: "November", season_index: "1.108" },
            { id: 24, scope: "calendar", month_label: "2025-12", year: "2025", quarter: "Q4", month_name: "December", season_index: "1.186" },
        ],
    });
    await prisma.products.createMany({
        data: [
            { id: 1, scope: "catalogue", item: "Trail running shoes", category: "Footwear", sku: "SKU-6301", base_units: "34", list_price: "89.00", unit_cost: "52.00" },
            { id: 2, scope: "catalogue", item: "Road bike helmet", category: "Cycling", sku: "SKU-7533", base_units: "21", list_price: "64.00", unit_cost: "35.00" },
            { id: 3, scope: "catalogue", item: "Yoga mat", category: "Fitness", sku: "SKU-4415", base_units: "48", list_price: "28.00", unit_cost: "12.00" },
            { id: 4, scope: "catalogue", item: "Insulated bottle", category: "Outdoor", sku: "SKU-4045", base_units: "80", list_price: "19.00", unit_cost: "7.50" },
            { id: 5, scope: "catalogue", item: "Fitness tracker", category: "Electronics", sku: "SKU-8327", base_units: "26", list_price: "129.00", unit_cost: "78.00" },
            { id: 6, scope: "catalogue", item: "Camping lantern", category: "Outdoor", sku: "SKU-1441", base_units: "30", list_price: "35.00", unit_cost: "19.00" },
        ],
    });
    await prisma.regions.createMany({
        data: [
            { id: 1, scope: "territories", name: "North America", size_factor: "1.00" },
            { id: 2, scope: "territories", name: "Europe", size_factor: "0.85" },
            { id: 3, scope: "territories", name: "Asia Pacific", size_factor: "0.70" },
            { id: 4, scope: "territories", name: "Latin America", size_factor: "0.35" },
        ],
    });
    await prisma.sales_cube.createMany({
        data: [
            { month_id: 1, product_id: 5, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "26.00", region_channel_index: "0.468", expected_units: "12.17", demand_noise: "0.946", units: "12", unit_price: "92.88", revenue: "1114.56", cost: "936.00", margin: "178.56" },
            { month_id: 9, product_id: 3, region_id: 2, channel_id: 3, promotion: "clearance", product_month_index: "45.12", region_channel_index: "0.468", expected_units: "21.12", demand_noise: "0.948", units: "20", unit_price: "20.16", revenue: "403.20", cost: "240.00", margin: "163.20" },
            { month_id: 4, product_id: 2, region_id: 4, channel_id: 3, promotion: "seasonal sale", product_month_index: "25.54", region_channel_index: "0.193", expected_units: "4.93", demand_noise: "0.879", units: "4", unit_price: "46.08", revenue: "184.32", cost: "140.00", margin: "44.32" },
            { month_id: 11, product_id: 3, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "46.27", region_channel_index: "0.280", expected_units: "12.96", demand_noise: "0.988", units: "13", unit_price: "28.00", revenue: "364.00", cost: "156.00", margin: "208.00" },
            { month_id: 22, product_id: 3, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "51.46", region_channel_index: "1.100", expected_units: "56.61", demand_noise: "0.989", units: "56", unit_price: "28.00", revenue: "1568.00", cost: "672.00", margin: "896.00" },
            { month_id: 12, product_id: 3, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "50.02", region_channel_index: "0.680", expected_units: "34.01", demand_noise: "1.019", units: "35", unit_price: "28.00", revenue: "980.00", cost: "420.00", margin: "560.00" },
            { month_id: 13, product_id: 6, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "34.32", region_channel_index: "0.770", expected_units: "26.43", demand_noise: "1.005", units: "27", unit_price: "35.00", revenue: "945.00", cost: "513.00", margin: "432.00" },
            { month_id: 19, product_id: 3, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "58.37", region_channel_index: "0.550", expected_units: "32.10", demand_noise: "1.046", units: "34", unit_price: "20.16", revenue: "685.44", cost: "408.00", margin: "277.44" },
            { month_id: 4, product_id: 2, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "25.54", region_channel_index: "0.770", expected_units: "19.67", demand_noise: "1.004", units: "20", unit_price: "64.00", revenue: "1280.00", cost: "700.00", margin: "580.00" },
            { month_id: 8, product_id: 1, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "33.80", region_channel_index: "0.193", expected_units: "6.52", demand_noise: "0.957", units: "6", unit_price: "64.08", revenue: "384.48", cost: "312.00", margin: "72.48" },
            { month_id: 4, product_id: 6, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "36.48", region_channel_index: "0.385", expected_units: "14.04", demand_noise: "1.033", units: "15", unit_price: "25.20", revenue: "378.00", cost: "285.00", margin: "93.00" },
            { month_id: 9, product_id: 5, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "24.44", region_channel_index: "0.193", expected_units: "4.72", demand_noise: "0.979", units: "5", unit_price: "92.88", revenue: "464.40", cost: "390.00", margin: "74.40" },
            { month_id: 8, product_id: 2, region_id: 4, channel_id: 3, promotion: "clearance", product_month_index: "20.87", region_channel_index: "0.193", expected_units: "4.03", demand_noise: "0.955", units: "4", unit_price: "46.08", revenue: "184.32", cost: "140.00", margin: "44.32" },
            { month_id: 22, product_id: 6, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "32.16", region_channel_index: "0.935", expected_units: "30.07", demand_noise: "1.037", units: "31", unit_price: "35.00", revenue: "1085.00", cost: "589.00", margin: "496.00" },
            { month_id: 17, product_id: 5, region_id: 3, channel_id: 1, promotion: "seasonal sale", product_month_index: "35.05", region_channel_index: "0.770", expected_units: "26.99", demand_noise: "1.014", units: "27", unit_price: "129.00", revenue: "3483.00", cost: "2106.00", margin: "1377.00" },
            { month_id: 6, product_id: 1, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "39.10", region_channel_index: "0.193", expected_units: "7.55", demand_noise: "1.036", units: "8", unit_price: "64.08", revenue: "512.64", cost: "416.00", margin: "96.64" },
            { month_id: 24, product_id: 5, region_id: 1, channel_id: 2, promotion: "seasonal sale", product_month_index: "30.84", region_channel_index: "0.800", expected_units: "24.67", demand_noise: "0.987", units: "24", unit_price: "129.00", revenue: "3096.00", cost: "1872.00", margin: "1224.00" },
            { month_id: 8, product_id: 2, region_id: 3, channel_id: 2, promotion: "clearance", product_month_index: "20.87", region_channel_index: "0.560", expected_units: "11.69", demand_noise: "0.958", units: "11", unit_price: "64.00", revenue: "704.00", cost: "385.00", margin: "319.00" },
            { month_id: 23, product_id: 5, region_id: 2, channel_id: 1, promotion: "seasonal sale", product_month_index: "28.81", region_channel_index: "0.935", expected_units: "26.94", demand_noise: "0.941", units: "25", unit_price: "129.00", revenue: "3225.00", cost: "1950.00", margin: "1275.00" },
            { month_id: 11, product_id: 5, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "25.06", region_channel_index: "0.385", expected_units: "9.65", demand_noise: "1.026", units: "10", unit_price: "92.88", revenue: "928.80", cost: "780.00", margin: "148.80" },
            { month_id: 7, product_id: 2, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "22.51", region_channel_index: "0.280", expected_units: "6.30", demand_noise: "1.066", units: "7", unit_price: "64.00", revenue: "448.00", cost: "245.00", margin: "203.00" },
            { month_id: 2, product_id: 1, region_id: 1, channel_id: 2, promotion: "seasonal sale", product_month_index: "37.47", region_channel_index: "0.800", expected_units: "29.98", demand_noise: "1.015", units: "30", unit_price: "89.00", revenue: "2670.00", cost: "1560.00", margin: "1110.00" },
            { month_id: 24, product_id: 5, region_id: 4, channel_id: 1, promotion: "clearance", product_month_index: "30.84", region_channel_index: "0.385", expected_units: "11.87", demand_noise: "1.039", units: "12", unit_price: "129.00", revenue: "1548.00", cost: "936.00", margin: "612.00" },
            { month_id: 12, product_id: 1, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "35.43", region_channel_index: "0.385", expected_units: "13.64", demand_noise: "0.919", units: "13", unit_price: "89.00", revenue: "1157.00", cost: "676.00", margin: "481.00" },
            { month_id: 18, product_id: 6, region_id: 1, channel_id: 1, promotion: "seasonal sale", product_month_index: "38.82", region_channel_index: "1.100", expected_units: "42.70", demand_noise: "0.980", units: "42", unit_price: "35.00", revenue: "1470.00", cost: "798.00", margin: "672.00" },
            { month_id: 6, product_id: 5, region_id: 1, channel_id: 1, promotion: "clearance", product_month_index: "29.90", region_channel_index: "1.100", expected_units: "32.89", demand_noise: "0.997", units: "33", unit_price: "129.00", revenue: "4257.00", cost: "2574.00", margin: "1683.00" },
            { month_id: 4, product_id: 3, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "58.37", region_channel_index: "0.800", expected_units: "46.70", demand_noise: "1.004", units: "47", unit_price: "28.00", revenue: "1316.00", cost: "564.00", margin: "752.00" },
            { month_id: 10, product_id: 1, region_id: 2, channel_id: 3, promotion: "seasonal sale", product_month_index: "31.55", region_channel_index: "0.468", expected_units: "14.77", demand_noise: "1.003", units: "15", unit_price: "64.08", revenue: "961.20", cost: "780.00", margin: "181.20" },
            { month_id: 17, product_id: 5, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "35.05", region_channel_index: "1.100", expected_units: "38.56", demand_noise: "0.987", units: "38", unit_price: "129.00", revenue: "4902.00", cost: "2964.00", margin: "1938.00" },
            { month_id: 18, product_id: 3, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "62.11", region_channel_index: "1.100", expected_units: "68.32", demand_noise: "1.056", units: "72", unit_price: "28.00", revenue: "2016.00", cost: "864.00", margin: "1152.00" },
            { month_id: 4, product_id: 2, region_id: 1, channel_id: 1, promotion: "seasonal sale", product_month_index: "25.54", region_channel_index: "1.100", expected_units: "28.09", demand_noise: "1.038", units: "29", unit_price: "64.00", revenue: "1856.00", cost: "1015.00", margin: "841.00" },
            { month_id: 2, product_id: 3, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "52.90", region_channel_index: "0.468", expected_units: "24.76", demand_noise: "1.021", units: "25", unit_price: "20.16", revenue: "504.00", cost: "300.00", margin: "204.00" },
            { month_id: 8, product_id: 6, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "29.82", region_channel_index: "0.385", expected_units: "11.48", demand_noise: "1.006", units: "12", unit_price: "35.00", revenue: "420.00", cost: "228.00", margin: "192.00" },
            { month_id: 21, product_id: 4, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "86.72", region_channel_index: "0.560", expected_units: "48.56", demand_noise: "0.990", units: "48", unit_price: "19.00", revenue: "912.00", cost: "360.00", margin: "552.00" },
            { month_id: 13, product_id: 5, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "29.74", region_channel_index: "0.680", expected_units: "20.22", demand_noise: "1.031", units: "21", unit_price: "129.00", revenue: "2709.00", cost: "1638.00", margin: "1071.00" },
            { month_id: 2, product_id: 6, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "33.06", region_channel_index: "0.193", expected_units: "6.38", demand_noise: "0.968", units: "6", unit_price: "25.20", revenue: "151.20", cost: "114.00", margin: "37.20" },
            { month_id: 22, product_id: 2, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "22.51", region_channel_index: "0.680", expected_units: "15.31", demand_noise: "0.954", units: "15", unit_price: "64.00", revenue: "960.00", cost: "525.00", margin: "435.00" },
            { month_id: 8, product_id: 2, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "20.87", region_channel_index: "0.280", expected_units: "5.84", demand_noise: "1.016", units: "6", unit_price: "64.00", revenue: "384.00", cost: "210.00", margin: "174.00" },
            { month_id: 11, product_id: 4, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "77.12", region_channel_index: "0.280", expected_units: "21.59", demand_noise: "0.943", units: "20", unit_price: "19.00", revenue: "380.00", cost: "150.00", margin: "230.00" },
            { month_id: 20, product_id: 5, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "29.59", region_channel_index: "0.280", expected_units: "8.29", demand_noise: "0.942", units: "8", unit_price: "129.00", revenue: "1032.00", cost: "624.00", margin: "408.00" },
            { month_id: 13, product_id: 2, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "24.02", region_channel_index: "0.560", expected_units: "13.45", demand_noise: "0.924", units: "12", unit_price: "64.00", revenue: "768.00", cost: "420.00", margin: "348.00" },
            { month_id: 13, product_id: 3, region_id: 2, channel_id: 3, promotion: "seasonal sale", product_month_index: "54.91", region_channel_index: "0.468", expected_units: "25.70", demand_noise: "0.996", units: "26", unit_price: "20.16", revenue: "524.16", cost: "312.00", margin: "212.16" },
            { month_id: 17, product_id: 4, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "107.84", region_channel_index: "0.680", expected_units: "73.33", demand_noise: "1.045", units: "77", unit_price: "19.00", revenue: "1463.00", cost: "577.50", margin: "885.50" },
            { month_id: 5, product_id: 5, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "31.30", region_channel_index: "0.280", expected_units: "8.76", demand_noise: "1.054", units: "9", unit_price: "129.00", revenue: "1161.00", cost: "702.00", margin: "459.00" },
            { month_id: 3, product_id: 1, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "40.12", region_channel_index: "1.100", expected_units: "44.13", demand_noise: "1.042", units: "46", unit_price: "89.00", revenue: "4094.00", cost: "2392.00", margin: "1702.00" },
            { month_id: 16, product_id: 1, region_id: 1, channel_id: 1, promotion: "seasonal sale", product_month_index: "46.24", region_channel_index: "1.100", expected_units: "50.86", demand_noise: "1.030", units: "52", unit_price: "89.00", revenue: "4628.00", cost: "2704.00", margin: "1924.00" },
            { month_id: 12, product_id: 2, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "21.88", region_channel_index: "0.385", expected_units: "8.42", demand_noise: "0.987", units: "8", unit_price: "64.00", revenue: "512.00", cost: "280.00", margin: "232.00" },
            { month_id: 6, product_id: 5, region_id: 3, channel_id: 2, promotion: "seasonal sale", product_month_index: "29.90", region_channel_index: "0.560", expected_units: "16.74", demand_noise: "1.058", units: "18", unit_price: "129.00", revenue: "2322.00", cost: "1404.00", margin: "918.00" },
            { month_id: 1, product_id: 1, region_id: 3, channel_id: 3, promotion: "clearance", product_month_index: "34.00", region_channel_index: "0.385", expected_units: "13.09", demand_noise: "0.960", units: "13", unit_price: "64.08", revenue: "833.04", cost: "676.00", margin: "157.04" },
            { month_id: 8, product_id: 1, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "33.80", region_channel_index: "0.385", expected_units: "13.01", demand_noise: "0.903", units: "12", unit_price: "89.00", revenue: "1068.00", cost: "624.00", margin: "444.00" },
            { month_id: 1, product_id: 2, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "21.00", region_channel_index: "0.935", expected_units: "19.64", demand_noise: "1.012", units: "20", unit_price: "64.00", revenue: "1280.00", cost: "700.00", margin: "580.00" },
            { month_id: 24, product_id: 1, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "40.32", region_channel_index: "0.550", expected_units: "22.18", demand_noise: "0.898", units: "20", unit_price: "64.08", revenue: "1281.60", cost: "1040.00", margin: "241.60" },
            { month_id: 3, product_id: 1, region_id: 1, channel_id: 2, promotion: "seasonal sale", product_month_index: "40.12", region_channel_index: "0.800", expected_units: "32.10", demand_noise: "0.970", units: "31", unit_price: "89.00", revenue: "2759.00", cost: "1612.00", margin: "1147.00" },
            { month_id: 5, product_id: 4, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "96.32", region_channel_index: "0.385", expected_units: "37.08", demand_noise: "0.997", units: "37", unit_price: "19.00", revenue: "703.00", cost: "277.50", margin: "425.50" },
            { month_id: 6, product_id: 4, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "92.00", region_channel_index: "0.468", expected_units: "43.06", demand_noise: "0.986", units: "42", unit_price: "13.68", revenue: "574.56", cost: "315.00", margin: "259.56" },
            { month_id: 4, product_id: 5, region_id: 1, channel_id: 1, promotion: "clearance", product_month_index: "31.62", region_channel_index: "1.100", expected_units: "34.78", demand_noise: "0.969", units: "34", unit_price: "129.00", revenue: "4386.00", cost: "2652.00", margin: "1734.00" },
            { month_id: 14, product_id: 1, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "42.36", region_channel_index: "0.385", expected_units: "16.31", demand_noise: "0.949", units: "15", unit_price: "64.08", revenue: "961.20", cost: "780.00", margin: "181.20" },
            { month_id: 5, product_id: 5, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "31.30", region_channel_index: "0.468", expected_units: "14.65", demand_noise: "1.007", units: "15", unit_price: "92.88", revenue: "1393.20", cost: "1170.00", margin: "223.20" },
            { month_id: 23, product_id: 1, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "37.67", region_channel_index: "0.680", expected_units: "25.62", demand_noise: "1.031", units: "26", unit_price: "89.00", revenue: "2314.00", cost: "1352.00", margin: "962.00" },
            { month_id: 17, product_id: 1, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "45.83", region_channel_index: "0.280", expected_units: "12.83", demand_noise: "1.007", units: "13", unit_price: "89.00", revenue: "1157.00", cost: "676.00", margin: "481.00" },
            { month_id: 2, product_id: 3, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "52.90", region_channel_index: "0.560", expected_units: "29.62", demand_noise: "1.038", units: "31", unit_price: "28.00", revenue: "868.00", cost: "372.00", margin: "496.00" },
            { month_id: 19, product_id: 4, region_id: 3, channel_id: 1, promotion: "seasonal sale", product_month_index: "97.28", region_channel_index: "0.770", expected_units: "74.91", demand_noise: "0.917", units: "69", unit_price: "19.00", revenue: "1311.00", cost: "517.50", margin: "793.50" },
            { month_id: 11, product_id: 6, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "28.92", region_channel_index: "0.280", expected_units: "8.10", demand_noise: "0.970", units: "8", unit_price: "35.00", revenue: "280.00", cost: "152.00", margin: "128.00" },
            { month_id: 1, product_id: 2, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "21.00", region_channel_index: "0.680", expected_units: "14.28", demand_noise: "1.018", units: "15", unit_price: "64.00", revenue: "960.00", cost: "525.00", margin: "435.00" },
            { month_id: 15, product_id: 2, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "27.80", region_channel_index: "0.468", expected_units: "13.01", demand_noise: "1.021", units: "13", unit_price: "46.08", revenue: "599.04", cost: "455.00", margin: "144.04" },
            { month_id: 7, product_id: 2, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "22.51", region_channel_index: "0.680", expected_units: "15.31", demand_noise: "1.022", units: "16", unit_price: "64.00", revenue: "1024.00", cost: "560.00", margin: "464.00" },
            { month_id: 12, product_id: 4, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "83.36", region_channel_index: "0.385", expected_units: "32.09", demand_noise: "0.951", units: "31", unit_price: "13.68", revenue: "424.08", cost: "232.50", margin: "191.58" },
            { month_id: 11, product_id: 3, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "46.27", region_channel_index: "0.468", expected_units: "21.65", demand_noise: "0.982", units: "21", unit_price: "20.16", revenue: "423.36", cost: "252.00", margin: "171.36" },
            { month_id: 2, product_id: 4, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "88.16", region_channel_index: "0.193", expected_units: "17.01", demand_noise: "0.947", units: "16", unit_price: "13.68", revenue: "218.88", cost: "120.00", margin: "98.88" },
            { month_id: 7, product_id: 4, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "85.76", region_channel_index: "0.385", expected_units: "33.02", demand_noise: "0.960", units: "32", unit_price: "19.00", revenue: "608.00", cost: "240.00", margin: "368.00" },
            { month_id: 24, product_id: 1, region_id: 3, channel_id: 3, promotion: "seasonal sale", product_month_index: "40.32", region_channel_index: "0.385", expected_units: "15.52", demand_noise: "1.004", units: "16", unit_price: "64.08", revenue: "1025.28", cost: "832.00", margin: "193.28" },
            { month_id: 14, product_id: 4, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "99.68", region_channel_index: "0.468", expected_units: "46.65", demand_noise: "0.970", units: "45", unit_price: "13.68", revenue: "615.60", cost: "337.50", margin: "278.10" },
            { month_id: 24, product_id: 3, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "56.93", region_channel_index: "0.385", expected_units: "21.92", demand_noise: "1.025", units: "22", unit_price: "20.16", revenue: "443.52", cost: "264.00", margin: "179.52" },
            { month_id: 7, product_id: 4, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "85.76", region_channel_index: "0.770", expected_units: "66.04", demand_noise: "0.993", units: "66", unit_price: "19.00", revenue: "1254.00", cost: "495.00", margin: "759.00" },
            { month_id: 5, product_id: 6, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "36.12", region_channel_index: "0.560", expected_units: "20.23", demand_noise: "0.984", units: "20", unit_price: "35.00", revenue: "700.00", cost: "380.00", margin: "320.00" },
            { month_id: 1, product_id: 5, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "26.00", region_channel_index: "0.935", expected_units: "24.31", demand_noise: "1.014", units: "25", unit_price: "129.00", revenue: "3225.00", cost: "1950.00", margin: "1275.00" },
            { month_id: 22, product_id: 6, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "32.16", region_channel_index: "0.680", expected_units: "21.87", demand_noise: "1.027", units: "22", unit_price: "35.00", revenue: "770.00", cost: "418.00", margin: "352.00" },
            { month_id: 19, product_id: 3, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "58.37", region_channel_index: "0.560", expected_units: "32.69", demand_noise: "1.018", units: "33", unit_price: "28.00", revenue: "924.00", cost: "396.00", margin: "528.00" },
            { month_id: 9, product_id: 6, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "28.20", region_channel_index: "1.100", expected_units: "31.02", demand_noise: "0.943", units: "29", unit_price: "35.00", revenue: "1015.00", cost: "551.00", margin: "464.00" },
            { month_id: 21, product_id: 1, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "36.86", region_channel_index: "0.280", expected_units: "10.32", demand_noise: "1.081", units: "11", unit_price: "89.00", revenue: "979.00", cost: "572.00", margin: "407.00" },
            { month_id: 6, product_id: 5, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "29.90", region_channel_index: "0.280", expected_units: "8.37", demand_noise: "1.019", units: "9", unit_price: "129.00", revenue: "1161.00", cost: "702.00", margin: "459.00" },
            { month_id: 15, product_id: 2, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "27.80", region_channel_index: "0.770", expected_units: "21.41", demand_noise: "0.966", units: "21", unit_price: "64.00", revenue: "1344.00", cost: "735.00", margin: "609.00" },
            { month_id: 16, product_id: 2, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "28.56", region_channel_index: "0.280", expected_units: "8.00", demand_noise: "1.048", units: "8", unit_price: "64.00", revenue: "512.00", cost: "280.00", margin: "232.00" },
            { month_id: 10, product_id: 2, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "19.49", region_channel_index: "0.385", expected_units: "7.50", demand_noise: "1.055", units: "8", unit_price: "46.08", revenue: "368.64", cost: "280.00", margin: "88.64" },
            { month_id: 17, product_id: 2, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "28.31", region_channel_index: "0.770", expected_units: "21.80", demand_noise: "1.061", units: "23", unit_price: "64.00", revenue: "1472.00", cost: "805.00", margin: "667.00" },
            { month_id: 10, product_id: 2, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "19.49", region_channel_index: "0.680", expected_units: "13.25", demand_noise: "0.982", units: "13", unit_price: "64.00", revenue: "832.00", cost: "455.00", margin: "377.00" },
            { month_id: 17, product_id: 6, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "40.44", region_channel_index: "0.770", expected_units: "31.14", demand_noise: "1.056", units: "33", unit_price: "35.00", revenue: "1155.00", cost: "627.00", margin: "528.00" },
            { month_id: 22, product_id: 4, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "85.76", region_channel_index: "0.770", expected_units: "66.04", demand_noise: "0.975", units: "64", unit_price: "19.00", revenue: "1216.00", cost: "480.00", margin: "736.00" },
            { month_id: 19, product_id: 6, region_id: 4, channel_id: 3, promotion: "clearance", product_month_index: "36.48", region_channel_index: "0.193", expected_units: "7.04", demand_noise: "1.021", units: "7", unit_price: "25.20", revenue: "176.40", cost: "133.00", margin: "43.40" },
            { month_id: 14, product_id: 6, region_id: 2, channel_id: 3, promotion: "clearance", product_month_index: "37.38", region_channel_index: "0.468", expected_units: "17.49", demand_noise: "0.929", units: "16", unit_price: "25.20", revenue: "403.20", cost: "304.00", margin: "99.20" },
            { month_id: 22, product_id: 3, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "51.46", region_channel_index: "0.800", expected_units: "41.17", demand_noise: "0.973", units: "40", unit_price: "28.00", revenue: "1120.00", cost: "480.00", margin: "640.00" },
            { month_id: 15, product_id: 1, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "45.02", region_channel_index: "0.935", expected_units: "42.09", demand_noise: "0.983", units: "41", unit_price: "89.00", revenue: "3649.00", cost: "2132.00", margin: "1517.00" },
            { month_id: 21, product_id: 3, region_id: 2, channel_id: 1, promotion: "clearance", product_month_index: "52.03", region_channel_index: "0.935", expected_units: "48.65", demand_noise: "0.971", units: "47", unit_price: "28.00", revenue: "1316.00", cost: "564.00", margin: "752.00" },
            { month_id: 5, product_id: 3, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "57.79", region_channel_index: "0.800", expected_units: "46.23", demand_noise: "1.024", units: "47", unit_price: "28.00", revenue: "1316.00", cost: "564.00", margin: "752.00" },
            { month_id: 9, product_id: 5, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "24.44", region_channel_index: "0.680", expected_units: "16.62", demand_noise: "1.013", units: "17", unit_price: "129.00", revenue: "2193.00", cost: "1326.00", margin: "867.00" },
            { month_id: 17, product_id: 2, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "28.31", region_channel_index: "0.280", expected_units: "7.93", demand_noise: "1.032", units: "8", unit_price: "64.00", revenue: "512.00", cost: "280.00", margin: "232.00" },
            { month_id: 17, product_id: 5, region_id: 1, channel_id: 2, promotion: "clearance", product_month_index: "35.05", region_channel_index: "0.800", expected_units: "28.04", demand_noise: "0.964", units: "27", unit_price: "129.00", revenue: "3483.00", cost: "2106.00", margin: "1377.00" },
            { month_id: 1, product_id: 4, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "80.00", region_channel_index: "0.385", expected_units: "30.80", demand_noise: "1.006", units: "31", unit_price: "19.00", revenue: "589.00", cost: "232.50", margin: "356.50" },
            { month_id: 13, product_id: 4, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "91.52", region_channel_index: "0.385", expected_units: "35.24", demand_noise: "0.939", units: "33", unit_price: "19.00", revenue: "627.00", cost: "247.50", margin: "379.50" },
            { month_id: 15, product_id: 1, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "45.02", region_channel_index: "0.550", expected_units: "24.76", demand_noise: "0.973", units: "24", unit_price: "64.08", revenue: "1537.92", cost: "1248.00", margin: "289.92" },
            { month_id: 18, product_id: 5, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "33.64", region_channel_index: "0.385", expected_units: "12.95", demand_noise: "1.031", units: "13", unit_price: "129.00", revenue: "1677.00", cost: "1014.00", margin: "663.00" },
            { month_id: 21, product_id: 4, region_id: 1, channel_id: 1, promotion: "seasonal sale", product_month_index: "86.72", region_channel_index: "1.100", expected_units: "95.39", demand_noise: "1.039", units: "99", unit_price: "19.00", revenue: "1881.00", cost: "742.50", margin: "1138.50" },
            { month_id: 22, product_id: 5, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "27.87", region_channel_index: "0.560", expected_units: "15.61", demand_noise: "1.052", units: "16", unit_price: "129.00", revenue: "2064.00", cost: "1248.00", margin: "816.00" },
            { month_id: 10, product_id: 1, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "31.55", region_channel_index: "1.100", expected_units: "34.71", demand_noise: "1.025", units: "36", unit_price: "89.00", revenue: "3204.00", cost: "1872.00", margin: "1332.00" },
            { month_id: 4, product_id: 4, region_id: 4, channel_id: 3, promotion: "clearance", product_month_index: "97.28", region_channel_index: "0.193", expected_units: "18.78", demand_noise: "0.970", units: "18", unit_price: "13.68", revenue: "246.24", cost: "135.00", margin: "111.24" },
            { month_id: 7, product_id: 6, region_id: 4, channel_id: 2, promotion: "seasonal sale", product_month_index: "32.16", region_channel_index: "0.280", expected_units: "9.00", demand_noise: "0.985", units: "9", unit_price: "35.00", revenue: "315.00", cost: "171.00", margin: "144.00" },
            { month_id: 16, product_id: 4, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "108.80", region_channel_index: "0.770", expected_units: "83.78", demand_noise: "1.026", units: "86", unit_price: "19.00", revenue: "1634.00", cost: "645.00", margin: "989.00" },
            { month_id: 5, product_id: 1, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "40.94", region_channel_index: "0.385", expected_units: "15.76", demand_noise: "1.047", units: "17", unit_price: "89.00", revenue: "1513.00", cost: "884.00", margin: "629.00" },
            { month_id: 14, product_id: 4, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "99.68", region_channel_index: "0.935", expected_units: "93.20", demand_noise: "0.996", units: "93", unit_price: "19.00", revenue: "1767.00", cost: "697.50", margin: "1069.50" },
            { month_id: 2, product_id: 6, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "33.06", region_channel_index: "1.100", expected_units: "36.37", demand_noise: "0.977", units: "36", unit_price: "35.00", revenue: "1260.00", cost: "684.00", margin: "576.00" },
            { month_id: 6, product_id: 2, region_id: 1, channel_id: 1, promotion: "seasonal sale", product_month_index: "24.15", region_channel_index: "1.100", expected_units: "26.57", demand_noise: "1.004", units: "27", unit_price: "64.00", revenue: "1728.00", cost: "945.00", margin: "783.00" },
            { month_id: 22, product_id: 5, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "27.87", region_channel_index: "0.770", expected_units: "21.46", demand_noise: "0.958", units: "21", unit_price: "129.00", revenue: "2709.00", cost: "1638.00", margin: "1071.00" },
            { month_id: 17, product_id: 1, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "45.83", region_channel_index: "0.560", expected_units: "25.66", demand_noise: "0.993", units: "25", unit_price: "89.00", revenue: "2225.00", cost: "1300.00", margin: "925.00" },
            { month_id: 22, product_id: 4, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "85.76", region_channel_index: "0.560", expected_units: "48.03", demand_noise: "1.021", units: "49", unit_price: "19.00", revenue: "931.00", cost: "367.50", margin: "563.50" },
            { month_id: 12, product_id: 6, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "31.26", region_channel_index: "1.100", expected_units: "34.39", demand_noise: "0.992", units: "34", unit_price: "35.00", revenue: "1190.00", cost: "646.00", margin: "544.00" },
            { month_id: 5, product_id: 2, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "25.28", region_channel_index: "0.560", expected_units: "14.16", demand_noise: "1.083", units: "15", unit_price: "64.00", revenue: "960.00", cost: "525.00", margin: "435.00" },
            { month_id: 4, product_id: 3, region_id: 3, channel_id: 2, promotion: "seasonal sale", product_month_index: "58.37", region_channel_index: "0.560", expected_units: "32.69", demand_noise: "0.988", units: "32", unit_price: "28.00", revenue: "896.00", cost: "384.00", margin: "512.00" },
            { month_id: 8, product_id: 4, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "79.52", region_channel_index: "0.385", expected_units: "30.62", demand_noise: "1.014", units: "31", unit_price: "19.00", revenue: "589.00", cost: "232.50", margin: "356.50" },
            { month_id: 10, product_id: 1, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "31.55", region_channel_index: "0.550", expected_units: "17.35", demand_noise: "1.090", units: "19", unit_price: "64.08", revenue: "1217.52", cost: "988.00", margin: "229.52" },
            { month_id: 20, product_id: 3, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "54.62", region_channel_index: "0.280", expected_units: "15.29", demand_noise: "0.919", units: "14", unit_price: "28.00", revenue: "392.00", cost: "168.00", margin: "224.00" },
            { month_id: 24, product_id: 2, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "24.91", region_channel_index: "1.100", expected_units: "27.40", demand_noise: "0.964", units: "26", unit_price: "64.00", revenue: "1664.00", cost: "910.00", margin: "754.00" },
            { month_id: 21, product_id: 6, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "32.52", region_channel_index: "0.680", expected_units: "22.11", demand_noise: "0.984", units: "22", unit_price: "35.00", revenue: "770.00", cost: "418.00", margin: "352.00" },
            { month_id: 6, product_id: 3, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "55.20", region_channel_index: "0.770", expected_units: "42.50", demand_noise: "0.969", units: "41", unit_price: "28.00", revenue: "1148.00", cost: "492.00", margin: "656.00" },
            { month_id: 15, product_id: 1, region_id: 4, channel_id: 3, promotion: "seasonal sale", product_month_index: "45.02", region_channel_index: "0.193", expected_units: "8.69", demand_noise: "1.021", units: "9", unit_price: "64.08", revenue: "576.72", cost: "468.00", margin: "108.72" },
            { month_id: 13, product_id: 5, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "29.74", region_channel_index: "0.935", expected_units: "27.81", demand_noise: "1.013", units: "28", unit_price: "129.00", revenue: "3612.00", cost: "2184.00", margin: "1428.00" },
            { month_id: 24, product_id: 5, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "30.84", region_channel_index: "0.550", expected_units: "16.96", demand_noise: "0.913", units: "15", unit_price: "92.88", revenue: "1393.20", cost: "1170.00", margin: "223.20" },
            { month_id: 7, product_id: 1, region_id: 3, channel_id: 3, promotion: "seasonal sale", product_month_index: "36.45", region_channel_index: "0.385", expected_units: "14.03", demand_noise: "1.028", units: "14", unit_price: "64.08", revenue: "897.12", cost: "728.00", margin: "169.12" },
            { month_id: 7, product_id: 6, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "32.16", region_channel_index: "0.770", expected_units: "24.76", demand_noise: "0.971", units: "24", unit_price: "35.00", revenue: "840.00", cost: "456.00", margin: "384.00" },
            { month_id: 6, product_id: 6, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "34.50", region_channel_index: "0.680", expected_units: "23.46", demand_noise: "1.059", units: "25", unit_price: "35.00", revenue: "875.00", cost: "475.00", margin: "400.00" },
            { month_id: 4, product_id: 2, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "25.54", region_channel_index: "0.935", expected_units: "23.88", demand_noise: "1.017", units: "24", unit_price: "64.00", revenue: "1536.00", cost: "840.00", margin: "696.00" },
            { month_id: 1, product_id: 4, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "80.00", region_channel_index: "0.800", expected_units: "64.00", demand_noise: "1.014", units: "65", unit_price: "19.00", revenue: "1235.00", cost: "487.50", margin: "747.50" },
            { month_id: 11, product_id: 3, region_id: 1, channel_id: 3, promotion: "clearance", product_month_index: "46.27", region_channel_index: "0.550", expected_units: "25.45", demand_noise: "0.987", units: "25", unit_price: "20.16", revenue: "504.00", cost: "300.00", margin: "204.00" },
            { month_id: 18, product_id: 1, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "44.00", region_channel_index: "0.280", expected_units: "12.32", demand_noise: "0.994", units: "12", unit_price: "89.00", revenue: "1068.00", cost: "624.00", margin: "444.00" },
            { month_id: 10, product_id: 5, region_id: 2, channel_id: 2, promotion: "seasonal sale", product_month_index: "24.13", region_channel_index: "0.680", expected_units: "16.41", demand_noise: "1.041", units: "17", unit_price: "129.00", revenue: "2193.00", cost: "1326.00", margin: "867.00" },
            { month_id: 8, product_id: 1, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "33.80", region_channel_index: "0.550", expected_units: "18.59", demand_noise: "0.957", units: "18", unit_price: "64.08", revenue: "1153.44", cost: "936.00", margin: "217.44" },
            { month_id: 1, product_id: 5, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "26.00", region_channel_index: "1.100", expected_units: "28.60", demand_noise: "0.983", units: "28", unit_price: "129.00", revenue: "3612.00", cost: "2184.00", margin: "1428.00" },
            { month_id: 16, product_id: 3, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "65.28", region_channel_index: "0.468", expected_units: "30.55", demand_noise: "1.004", units: "31", unit_price: "20.16", revenue: "624.96", cost: "372.00", margin: "252.96" },
            { month_id: 1, product_id: 6, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "30.00", region_channel_index: "0.468", expected_units: "14.04", demand_noise: "0.981", units: "14", unit_price: "25.20", revenue: "352.80", cost: "266.00", margin: "86.80" },
            { month_id: 21, product_id: 3, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "52.03", region_channel_index: "0.800", expected_units: "41.62", demand_noise: "1.049", units: "44", unit_price: "28.00", revenue: "1232.00", cost: "528.00", margin: "704.00" },
            { month_id: 14, product_id: 5, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "32.40", region_channel_index: "0.935", expected_units: "30.29", demand_noise: "1.018", units: "31", unit_price: "129.00", revenue: "3999.00", cost: "2418.00", margin: "1581.00" },
            { month_id: 8, product_id: 3, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "47.71", region_channel_index: "0.770", expected_units: "36.74", demand_noise: "1.008", units: "37", unit_price: "28.00", revenue: "1036.00", cost: "444.00", margin: "592.00" },
            { month_id: 13, product_id: 4, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "91.52", region_channel_index: "0.680", expected_units: "62.23", demand_noise: "1.015", units: "63", unit_price: "19.00", revenue: "1197.00", cost: "472.50", margin: "724.50" },
            { month_id: 1, product_id: 2, region_id: 3, channel_id: 2, promotion: "seasonal sale", product_month_index: "21.00", region_channel_index: "0.560", expected_units: "11.76", demand_noise: "0.980", units: "12", unit_price: "64.00", revenue: "768.00", cost: "420.00", margin: "348.00" },
            { month_id: 15, product_id: 2, region_id: 1, channel_id: 1, promotion: "clearance", product_month_index: "27.80", region_channel_index: "1.100", expected_units: "30.58", demand_noise: "0.969", units: "30", unit_price: "64.00", revenue: "1920.00", cost: "1050.00", margin: "870.00" },
            { month_id: 20, product_id: 6, region_id: 4, channel_id: 2, promotion: "clearance", product_month_index: "34.14", region_channel_index: "0.280", expected_units: "9.56", demand_noise: "1.015", units: "10", unit_price: "35.00", revenue: "350.00", cost: "190.00", margin: "160.00" },
            { month_id: 5, product_id: 5, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "31.30", region_channel_index: "0.560", expected_units: "17.53", demand_noise: "1.032", units: "18", unit_price: "129.00", revenue: "2322.00", cost: "1404.00", margin: "918.00" },
            { month_id: 16, product_id: 5, region_id: 1, channel_id: 2, promotion: "seasonal sale", product_month_index: "35.36", region_channel_index: "0.800", expected_units: "28.29", demand_noise: "0.945", units: "27", unit_price: "129.00", revenue: "3483.00", cost: "2106.00", margin: "1377.00" },
            { month_id: 5, product_id: 3, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "57.79", region_channel_index: "0.468", expected_units: "27.05", demand_noise: "1.001", units: "27", unit_price: "20.16", revenue: "544.32", cost: "324.00", margin: "220.32" },
            { month_id: 4, product_id: 5, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "31.62", region_channel_index: "0.280", expected_units: "8.85", demand_noise: "1.034", units: "9", unit_price: "129.00", revenue: "1161.00", cost: "702.00", margin: "459.00" },
            { month_id: 5, product_id: 6, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "36.12", region_channel_index: "0.385", expected_units: "13.91", demand_noise: "1.026", units: "14", unit_price: "35.00", revenue: "490.00", cost: "266.00", margin: "224.00" },
            { month_id: 3, product_id: 6, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "35.40", region_channel_index: "0.560", expected_units: "19.82", demand_noise: "1.058", units: "21", unit_price: "35.00", revenue: "735.00", cost: "399.00", margin: "336.00" },
            { month_id: 4, product_id: 6, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "36.48", region_channel_index: "0.193", expected_units: "7.04", demand_noise: "1.098", units: "8", unit_price: "25.20", revenue: "201.60", cost: "152.00", margin: "49.60" },
            { month_id: 15, product_id: 4, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "105.92", region_channel_index: "0.935", expected_units: "99.04", demand_noise: "0.976", units: "97", unit_price: "19.00", revenue: "1843.00", cost: "727.50", margin: "1115.50" },
            { month_id: 12, product_id: 1, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "35.43", region_channel_index: "0.935", expected_units: "33.13", demand_noise: "1.045", units: "35", unit_price: "89.00", revenue: "3115.00", cost: "1820.00", margin: "1295.00" },
            { month_id: 24, product_id: 3, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "56.93", region_channel_index: "0.550", expected_units: "31.31", demand_noise: "1.068", units: "33", unit_price: "20.16", revenue: "665.28", cost: "396.00", margin: "269.28" },
            { month_id: 18, product_id: 4, region_id: 3, channel_id: 3, promotion: "clearance", product_month_index: "103.52", region_channel_index: "0.385", expected_units: "39.86", demand_noise: "0.968", units: "39", unit_price: "13.68", revenue: "533.52", cost: "292.50", margin: "241.02" },
            { month_id: 1, product_id: 1, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "34.00", region_channel_index: "0.770", expected_units: "26.18", demand_noise: "0.910", units: "24", unit_price: "89.00", revenue: "2136.00", cost: "1248.00", margin: "888.00" },
            { month_id: 2, product_id: 6, region_id: 2, channel_id: 3, promotion: "seasonal sale", product_month_index: "33.06", region_channel_index: "0.468", expected_units: "15.47", demand_noise: "1.013", units: "16", unit_price: "25.20", revenue: "403.20", cost: "304.00", margin: "99.20" },
            { month_id: 3, product_id: 4, region_id: 1, channel_id: 1, promotion: "clearance", product_month_index: "94.40", region_channel_index: "1.100", expected_units: "103.84", demand_noise: "0.962", units: "100", unit_price: "19.00", revenue: "1900.00", cost: "750.00", margin: "1150.00" },
            { month_id: 15, product_id: 3, region_id: 1, channel_id: 1, promotion: "seasonal sale", product_month_index: "63.55", region_channel_index: "1.100", expected_units: "69.91", demand_noise: "1.029", units: "72", unit_price: "28.00", revenue: "2016.00", cost: "864.00", margin: "1152.00" },
            { month_id: 4, product_id: 6, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "36.48", region_channel_index: "0.468", expected_units: "17.07", demand_noise: "0.960", units: "16", unit_price: "25.20", revenue: "403.20", cost: "304.00", margin: "99.20" },
            { month_id: 20, product_id: 2, region_id: 3, channel_id: 2, promotion: "clearance", product_month_index: "23.90", region_channel_index: "0.560", expected_units: "13.38", demand_noise: "0.883", units: "12", unit_price: "64.00", revenue: "768.00", cost: "420.00", margin: "348.00" },
            { month_id: 14, product_id: 2, region_id: 4, channel_id: 2, promotion: "seasonal sale", product_month_index: "26.17", region_channel_index: "0.280", expected_units: "7.33", demand_noise: "0.974", units: "7", unit_price: "64.00", revenue: "448.00", cost: "245.00", margin: "203.00" },
            { month_id: 18, product_id: 6, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "38.82", region_channel_index: "0.468", expected_units: "18.17", demand_noise: "1.021", units: "19", unit_price: "25.20", revenue: "478.80", cost: "361.00", margin: "117.80" },
            { month_id: 1, product_id: 1, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "34.00", region_channel_index: "0.385", expected_units: "13.09", demand_noise: "0.945", units: "12", unit_price: "89.00", revenue: "1068.00", cost: "624.00", margin: "444.00" },
            { month_id: 7, product_id: 6, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "32.16", region_channel_index: "0.550", expected_units: "17.69", demand_noise: "1.056", units: "19", unit_price: "25.20", revenue: "478.80", cost: "361.00", margin: "117.80" },
            { month_id: 17, product_id: 4, region_id: 3, channel_id: 1, promotion: "seasonal sale", product_month_index: "107.84", region_channel_index: "0.770", expected_units: "83.04", demand_noise: "1.034", units: "86", unit_price: "19.00", revenue: "1634.00", cost: "645.00", margin: "989.00" },
            { month_id: 21, product_id: 3, region_id: 4, channel_id: 1, promotion: "seasonal sale", product_month_index: "52.03", region_channel_index: "0.385", expected_units: "20.03", demand_noise: "0.975", units: "20", unit_price: "28.00", revenue: "560.00", cost: "240.00", margin: "320.00" },
            { month_id: 23, product_id: 2, region_id: 3, channel_id: 2, promotion: "seasonal sale", product_month_index: "23.27", region_channel_index: "0.560", expected_units: "13.03", demand_noise: "0.950", units: "12", unit_price: "64.00", revenue: "768.00", cost: "420.00", margin: "348.00" },
            { month_id: 17, product_id: 4, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "107.84", region_channel_index: "0.468", expected_units: "50.47", demand_noise: "0.911", units: "46", unit_price: "13.68", revenue: "629.28", cost: "345.00", margin: "284.28" },
            { month_id: 6, product_id: 4, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "92.00", region_channel_index: "0.935", expected_units: "86.02", demand_noise: "0.983", units: "85", unit_price: "19.00", revenue: "1615.00", cost: "637.50", margin: "977.50" },
            { month_id: 19, product_id: 1, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "41.34", region_channel_index: "0.385", expected_units: "15.92", demand_noise: "0.962", units: "15", unit_price: "89.00", revenue: "1335.00", cost: "780.00", margin: "555.00" },
            { month_id: 8, product_id: 6, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "29.82", region_channel_index: "0.193", expected_units: "5.76", demand_noise: "1.044", units: "6", unit_price: "25.20", revenue: "151.20", cost: "114.00", margin: "37.20" },
            { month_id: 21, product_id: 2, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "22.76", region_channel_index: "0.385", expected_units: "8.76", demand_noise: "1.030", units: "9", unit_price: "46.08", revenue: "414.72", cost: "315.00", margin: "99.72" },
            { month_id: 9, product_id: 6, region_id: 2, channel_id: 3, promotion: "seasonal sale", product_month_index: "28.20", region_channel_index: "0.468", expected_units: "13.20", demand_noise: "1.046", units: "14", unit_price: "25.20", revenue: "352.80", cost: "266.00", margin: "86.80" },
            { month_id: 21, product_id: 4, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "86.72", region_channel_index: "0.280", expected_units: "24.28", demand_noise: "1.044", units: "25", unit_price: "19.00", revenue: "475.00", cost: "187.50", margin: "287.50" },
            { month_id: 23, product_id: 4, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "88.64", region_channel_index: "0.193", expected_units: "17.11", demand_noise: "1.007", units: "17", unit_price: "13.68", revenue: "232.56", cost: "127.50", margin: "105.06" },
            { month_id: 6, product_id: 2, region_id: 1, channel_id: 3, promotion: "clearance", product_month_index: "24.15", region_channel_index: "0.550", expected_units: "13.28", demand_noise: "0.981", units: "13", unit_price: "46.08", revenue: "599.04", cost: "455.00", margin: "144.04" },
            { month_id: 15, product_id: 3, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "63.55", region_channel_index: "0.468", expected_units: "29.74", demand_noise: "1.029", units: "31", unit_price: "20.16", revenue: "624.96", cost: "372.00", margin: "252.96" },
            { month_id: 24, product_id: 1, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "40.32", region_channel_index: "1.100", expected_units: "44.35", demand_noise: "0.995", units: "44", unit_price: "89.00", revenue: "3916.00", cost: "2288.00", margin: "1628.00" },
            { month_id: 17, product_id: 3, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "64.70", region_channel_index: "0.550", expected_units: "35.59", demand_noise: "0.943", units: "34", unit_price: "20.16", revenue: "685.44", cost: "408.00", margin: "277.44" },
            { month_id: 20, product_id: 2, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "23.90", region_channel_index: "1.100", expected_units: "26.29", demand_noise: "1.001", units: "26", unit_price: "64.00", revenue: "1664.00", cost: "910.00", margin: "754.00" },
            { month_id: 13, product_id: 5, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "29.74", region_channel_index: "0.468", expected_units: "13.92", demand_noise: "0.974", units: "14", unit_price: "92.88", revenue: "1300.32", cost: "1092.00", margin: "208.32" },
            { month_id: 9, product_id: 4, region_id: 3, channel_id: 3, promotion: "seasonal sale", product_month_index: "75.20", region_channel_index: "0.385", expected_units: "28.95", demand_noise: "1.023", units: "30", unit_price: "13.68", revenue: "410.40", cost: "225.00", margin: "185.40" },
            { month_id: 22, product_id: 6, region_id: 3, channel_id: 2, promotion: "seasonal sale", product_month_index: "32.16", region_channel_index: "0.560", expected_units: "18.01", demand_noise: "0.965", units: "17", unit_price: "35.00", revenue: "595.00", cost: "323.00", margin: "272.00" },
            { month_id: 18, product_id: 5, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "33.64", region_channel_index: "0.280", expected_units: "9.42", demand_noise: "1.054", units: "10", unit_price: "129.00", revenue: "1290.00", cost: "780.00", margin: "510.00" },
            { month_id: 17, product_id: 4, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "107.84", region_channel_index: "0.935", expected_units: "100.83", demand_noise: "0.987", units: "100", unit_price: "19.00", revenue: "1900.00", cost: "750.00", margin: "1150.00" },
            { month_id: 13, product_id: 2, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "24.02", region_channel_index: "1.100", expected_units: "26.42", demand_noise: "0.918", units: "24", unit_price: "64.00", revenue: "1536.00", cost: "840.00", margin: "696.00" },
            { month_id: 8, product_id: 1, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "33.80", region_channel_index: "0.770", expected_units: "26.03", demand_noise: "0.998", units: "26", unit_price: "89.00", revenue: "2314.00", cost: "1352.00", margin: "962.00" },
            { month_id: 19, product_id: 4, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "97.28", region_channel_index: "0.385", expected_units: "37.45", demand_noise: "0.990", units: "37", unit_price: "19.00", revenue: "703.00", cost: "277.50", margin: "425.50" },
            { month_id: 20, product_id: 5, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "29.59", region_channel_index: "0.385", expected_units: "11.39", demand_noise: "1.038", units: "12", unit_price: "92.88", revenue: "1114.56", cost: "936.00", margin: "178.56" },
            { month_id: 21, product_id: 5, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "28.18", region_channel_index: "0.385", expected_units: "10.85", demand_noise: "0.907", units: "10", unit_price: "92.88", revenue: "928.80", cost: "780.00", margin: "148.80" },
            { month_id: 11, product_id: 1, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "32.78", region_channel_index: "1.100", expected_units: "36.06", demand_noise: "0.986", units: "36", unit_price: "89.00", revenue: "3204.00", cost: "1872.00", margin: "1332.00" },
            { month_id: 7, product_id: 3, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "51.46", region_channel_index: "0.468", expected_units: "24.08", demand_noise: "1.027", units: "25", unit_price: "20.16", revenue: "504.00", cost: "300.00", margin: "204.00" },
            { month_id: 4, product_id: 4, region_id: 2, channel_id: 2, promotion: "seasonal sale", product_month_index: "97.28", region_channel_index: "0.680", expected_units: "66.15", demand_noise: "0.996", units: "66", unit_price: "19.00", revenue: "1254.00", cost: "495.00", margin: "759.00" },
            { month_id: 19, product_id: 6, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "36.48", region_channel_index: "0.385", expected_units: "14.04", demand_noise: "1.002", units: "14", unit_price: "25.20", revenue: "352.80", cost: "266.00", margin: "86.80" },
            { month_id: 23, product_id: 5, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "28.81", region_channel_index: "0.560", expected_units: "16.13", demand_noise: "0.960", units: "15", unit_price: "129.00", revenue: "1935.00", cost: "1170.00", margin: "765.00" },
            { month_id: 5, product_id: 4, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "96.32", region_channel_index: "0.385", expected_units: "37.08", demand_noise: "0.970", units: "36", unit_price: "13.68", revenue: "492.48", cost: "270.00", margin: "222.48" },
            { month_id: 6, product_id: 6, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "34.50", region_channel_index: "0.770", expected_units: "26.57", demand_noise: "0.989", units: "26", unit_price: "35.00", revenue: "910.00", cost: "494.00", margin: "416.00" },
            { month_id: 20, product_id: 3, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "54.62", region_channel_index: "0.468", expected_units: "25.56", demand_noise: "1.049", units: "27", unit_price: "20.16", revenue: "544.32", cost: "324.00", margin: "220.32" },
            { month_id: 14, product_id: 4, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "99.68", region_channel_index: "0.385", expected_units: "38.38", demand_noise: "1.006", units: "39", unit_price: "13.68", revenue: "533.52", cost: "292.50", margin: "241.02" },
            { month_id: 9, product_id: 5, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "24.44", region_channel_index: "0.800", expected_units: "19.55", demand_noise: "0.915", units: "18", unit_price: "129.00", revenue: "2322.00", cost: "1404.00", margin: "918.00" },
            { month_id: 16, product_id: 5, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "35.36", region_channel_index: "0.385", expected_units: "13.61", demand_noise: "0.954", units: "13", unit_price: "92.88", revenue: "1207.44", cost: "1014.00", margin: "193.44" },
            { month_id: 14, product_id: 6, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "37.38", region_channel_index: "0.770", expected_units: "28.78", demand_noise: "1.039", units: "30", unit_price: "35.00", revenue: "1050.00", cost: "570.00", margin: "480.00" },
            { month_id: 15, product_id: 2, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "27.80", region_channel_index: "0.550", expected_units: "15.29", demand_noise: "0.930", units: "14", unit_price: "46.08", revenue: "645.12", cost: "490.00", margin: "155.12" },
            { month_id: 23, product_id: 4, region_id: 1, channel_id: 3, promotion: "clearance", product_month_index: "88.64", region_channel_index: "0.550", expected_units: "48.75", demand_noise: "1.000", units: "49", unit_price: "13.68", revenue: "670.32", cost: "367.50", margin: "302.82" },
            { month_id: 12, product_id: 5, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "27.09", region_channel_index: "0.550", expected_units: "14.90", demand_noise: "1.022", units: "15", unit_price: "92.88", revenue: "1393.20", cost: "1170.00", margin: "223.20" },
            { month_id: 1, product_id: 3, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "48.00", region_channel_index: "0.193", expected_units: "9.26", demand_noise: "1.019", units: "9", unit_price: "20.16", revenue: "181.44", cost: "108.00", margin: "73.44" },
            { month_id: 10, product_id: 5, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "24.13", region_channel_index: "0.935", expected_units: "22.56", demand_noise: "0.958", units: "22", unit_price: "129.00", revenue: "2838.00", cost: "1716.00", margin: "1122.00" },
            { month_id: 21, product_id: 1, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "36.86", region_channel_index: "0.550", expected_units: "20.27", demand_noise: "1.041", units: "21", unit_price: "64.08", revenue: "1345.68", cost: "1092.00", margin: "253.68" },
            { month_id: 17, product_id: 5, region_id: 4, channel_id: 3, promotion: "clearance", product_month_index: "35.05", region_channel_index: "0.193", expected_units: "6.76", demand_noise: "0.993", units: "7", unit_price: "92.88", revenue: "650.16", cost: "546.00", margin: "104.16" },
            { month_id: 5, product_id: 5, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "31.30", region_channel_index: "0.800", expected_units: "25.04", demand_noise: "0.976", units: "24", unit_price: "129.00", revenue: "3096.00", cost: "1872.00", margin: "1224.00" },
            { month_id: 14, product_id: 2, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "26.17", region_channel_index: "0.468", expected_units: "12.25", demand_noise: "0.933", units: "11", unit_price: "46.08", revenue: "506.88", cost: "385.00", margin: "121.88" },
            { month_id: 1, product_id: 1, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "34.00", region_channel_index: "0.280", expected_units: "9.52", demand_noise: "1.059", units: "10", unit_price: "89.00", revenue: "890.00", cost: "520.00", margin: "370.00" },
            { month_id: 9, product_id: 6, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "28.20", region_channel_index: "0.193", expected_units: "5.44", demand_noise: "0.998", units: "5", unit_price: "25.20", revenue: "126.00", cost: "95.00", margin: "31.00" },
            { month_id: 9, product_id: 5, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "24.44", region_channel_index: "0.385", expected_units: "9.41", demand_noise: "1.085", units: "10", unit_price: "92.88", revenue: "928.80", cost: "780.00", margin: "148.80" },
            { month_id: 11, product_id: 6, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "28.92", region_channel_index: "0.680", expected_units: "19.67", demand_noise: "1.050", units: "21", unit_price: "35.00", revenue: "735.00", cost: "399.00", margin: "336.00" },
            { month_id: 22, product_id: 3, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "51.46", region_channel_index: "0.193", expected_units: "9.93", demand_noise: "0.990", units: "10", unit_price: "20.16", revenue: "201.60", cost: "120.00", margin: "81.60" },
            { month_id: 17, product_id: 1, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "45.83", region_channel_index: "0.800", expected_units: "36.66", demand_noise: "1.042", units: "38", unit_price: "89.00", revenue: "3382.00", cost: "1976.00", margin: "1406.00" },
            { month_id: 14, product_id: 4, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "99.68", region_channel_index: "0.550", expected_units: "54.82", demand_noise: "0.973", units: "53", unit_price: "13.68", revenue: "725.04", cost: "397.50", margin: "327.54" },
            { month_id: 18, product_id: 4, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "103.52", region_channel_index: "0.385", expected_units: "39.86", demand_noise: "1.008", units: "40", unit_price: "19.00", revenue: "760.00", cost: "300.00", margin: "460.00" },
            { month_id: 8, product_id: 3, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "47.71", region_channel_index: "0.385", expected_units: "18.37", demand_noise: "1.058", units: "19", unit_price: "20.16", revenue: "383.04", cost: "228.00", margin: "155.04" },
            { month_id: 20, product_id: 3, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "54.62", region_channel_index: "1.100", expected_units: "60.08", demand_noise: "0.978", units: "59", unit_price: "28.00", revenue: "1652.00", cost: "708.00", margin: "944.00" },
            { month_id: 9, product_id: 2, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "19.74", region_channel_index: "0.560", expected_units: "11.05", demand_noise: "0.969", units: "11", unit_price: "64.00", revenue: "704.00", cost: "385.00", margin: "319.00" },
            { month_id: 15, product_id: 6, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "39.72", region_channel_index: "0.680", expected_units: "27.01", demand_noise: "1.017", units: "27", unit_price: "35.00", revenue: "945.00", cost: "513.00", margin: "432.00" },
            { month_id: 12, product_id: 5, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "27.09", region_channel_index: "0.680", expected_units: "18.42", demand_noise: "0.965", units: "18", unit_price: "129.00", revenue: "2322.00", cost: "1404.00", margin: "918.00" },
            { month_id: 9, product_id: 4, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "75.20", region_channel_index: "0.280", expected_units: "21.06", demand_noise: "0.991", units: "21", unit_price: "19.00", revenue: "399.00", cost: "157.50", margin: "241.50" },
            { month_id: 9, product_id: 3, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "45.12", region_channel_index: "0.935", expected_units: "42.19", demand_noise: "0.983", units: "41", unit_price: "28.00", revenue: "1148.00", cost: "492.00", margin: "656.00" },
            { month_id: 21, product_id: 5, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "28.18", region_channel_index: "0.560", expected_units: "15.78", demand_noise: "1.016", units: "16", unit_price: "129.00", revenue: "2064.00", cost: "1248.00", margin: "816.00" },
            { month_id: 4, product_id: 2, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "25.54", region_channel_index: "0.385", expected_units: "9.83", demand_noise: "1.019", units: "10", unit_price: "64.00", revenue: "640.00", cost: "350.00", margin: "290.00" },
            { month_id: 6, product_id: 1, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "39.10", region_channel_index: "1.100", expected_units: "43.01", demand_noise: "1.036", units: "45", unit_price: "89.00", revenue: "4005.00", cost: "2340.00", margin: "1665.00" },
            { month_id: 10, product_id: 3, region_id: 2, channel_id: 1, promotion: "clearance", product_month_index: "44.54", region_channel_index: "0.935", expected_units: "41.64", demand_noise: "0.983", units: "41", unit_price: "28.00", revenue: "1148.00", cost: "492.00", margin: "656.00" },
            { month_id: 13, product_id: 2, region_id: 4, channel_id: 3, promotion: "clearance", product_month_index: "24.02", region_channel_index: "0.193", expected_units: "4.64", demand_noise: "0.978", units: "5", unit_price: "46.08", revenue: "230.40", cost: "175.00", margin: "55.40" },
            { month_id: 2, product_id: 6, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "33.06", region_channel_index: "0.935", expected_units: "30.91", demand_noise: "0.928", units: "29", unit_price: "35.00", revenue: "1015.00", cost: "551.00", margin: "464.00" },
            { month_id: 3, product_id: 5, region_id: 3, channel_id: 2, promotion: "clearance", product_month_index: "30.68", region_channel_index: "0.560", expected_units: "17.18", demand_noise: "0.990", units: "17", unit_price: "129.00", revenue: "2193.00", cost: "1326.00", margin: "867.00" },
            { month_id: 19, product_id: 2, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "25.54", region_channel_index: "0.193", expected_units: "4.93", demand_noise: "0.978", units: "5", unit_price: "46.08", revenue: "230.40", cost: "175.00", margin: "55.40" },
            { month_id: 4, product_id: 1, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "41.34", region_channel_index: "0.193", expected_units: "7.98", demand_noise: "1.069", units: "9", unit_price: "64.08", revenue: "576.72", cost: "468.00", margin: "108.72" },
            { month_id: 19, product_id: 4, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "97.28", region_channel_index: "0.385", expected_units: "37.45", demand_noise: "0.979", units: "37", unit_price: "13.68", revenue: "506.16", cost: "277.50", margin: "228.66" },
            { month_id: 8, product_id: 4, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "79.52", region_channel_index: "0.550", expected_units: "43.74", demand_noise: "1.019", units: "45", unit_price: "13.68", revenue: "615.60", cost: "337.50", margin: "278.10" },
            { month_id: 22, product_id: 6, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "32.16", region_channel_index: "0.800", expected_units: "25.73", demand_noise: "1.014", units: "26", unit_price: "35.00", revenue: "910.00", cost: "494.00", margin: "416.00" },
            { month_id: 22, product_id: 2, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "22.51", region_channel_index: "0.468", expected_units: "10.53", demand_noise: "1.036", units: "11", unit_price: "46.08", revenue: "506.88", cost: "385.00", margin: "121.88" },
            { month_id: 24, product_id: 4, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "94.88", region_channel_index: "0.770", expected_units: "73.06", demand_noise: "1.025", units: "75", unit_price: "19.00", revenue: "1425.00", cost: "562.50", margin: "862.50" },
            { month_id: 3, product_id: 4, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "94.40", region_channel_index: "0.468", expected_units: "44.18", demand_noise: "1.005", units: "44", unit_price: "13.68", revenue: "601.92", cost: "330.00", margin: "271.92" },
            { month_id: 3, product_id: 5, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "30.68", region_channel_index: "0.680", expected_units: "20.86", demand_noise: "0.973", units: "20", unit_price: "129.00", revenue: "2580.00", cost: "1560.00", margin: "1020.00" },
            { month_id: 10, product_id: 1, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "31.55", region_channel_index: "0.560", expected_units: "17.67", demand_noise: "1.012", units: "18", unit_price: "89.00", revenue: "1602.00", cost: "936.00", margin: "666.00" },
            { month_id: 22, product_id: 6, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "32.16", region_channel_index: "0.193", expected_units: "6.21", demand_noise: "0.938", units: "6", unit_price: "25.20", revenue: "151.20", cost: "114.00", margin: "37.20" },
            { month_id: 3, product_id: 2, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "24.78", region_channel_index: "0.550", expected_units: "13.63", demand_noise: "1.035", units: "14", unit_price: "46.08", revenue: "645.12", cost: "490.00", margin: "155.12" },
            { month_id: 12, product_id: 2, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "21.88", region_channel_index: "0.800", expected_units: "17.50", demand_noise: "1.011", units: "18", unit_price: "64.00", revenue: "1152.00", cost: "630.00", margin: "522.00" },
            { month_id: 1, product_id: 1, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "34.00", region_channel_index: "0.680", expected_units: "23.12", demand_noise: "1.069", units: "25", unit_price: "89.00", revenue: "2225.00", cost: "1300.00", margin: "925.00" },
            { month_id: 19, product_id: 6, region_id: 1, channel_id: 2, promotion: "seasonal sale", product_month_index: "36.48", region_channel_index: "0.800", expected_units: "29.18", demand_noise: "1.060", units: "31", unit_price: "35.00", revenue: "1085.00", cost: "589.00", margin: "496.00" },
            { month_id: 13, product_id: 4, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "91.52", region_channel_index: "0.770", expected_units: "70.47", demand_noise: "0.990", units: "70", unit_price: "19.00", revenue: "1330.00", cost: "525.00", margin: "805.00" },
            { month_id: 19, product_id: 2, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "25.54", region_channel_index: "0.935", expected_units: "23.88", demand_noise: "0.949", units: "23", unit_price: "64.00", revenue: "1472.00", cost: "805.00", margin: "667.00" },
            { month_id: 9, product_id: 5, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "24.44", region_channel_index: "1.100", expected_units: "26.88", demand_noise: "1.054", units: "28", unit_price: "129.00", revenue: "3612.00", cost: "2184.00", margin: "1428.00" },
            { month_id: 8, product_id: 4, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "79.52", region_channel_index: "0.280", expected_units: "22.27", demand_noise: "0.943", units: "21", unit_price: "19.00", revenue: "399.00", cost: "157.50", margin: "241.50" },
            { month_id: 4, product_id: 1, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "41.34", region_channel_index: "0.385", expected_units: "15.92", demand_noise: "1.036", units: "16", unit_price: "89.00", revenue: "1424.00", cost: "832.00", margin: "592.00" },
            { month_id: 23, product_id: 4, region_id: 2, channel_id: 2, promotion: "seasonal sale", product_month_index: "88.64", region_channel_index: "0.680", expected_units: "60.28", demand_noise: "0.987", units: "59", unit_price: "19.00", revenue: "1121.00", cost: "442.50", margin: "678.50" },
            { month_id: 24, product_id: 4, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "94.88", region_channel_index: "0.935", expected_units: "88.71", demand_noise: "1.009", units: "90", unit_price: "19.00", revenue: "1710.00", cost: "675.00", margin: "1035.00" },
            { month_id: 18, product_id: 2, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "27.17", region_channel_index: "0.468", expected_units: "12.72", demand_noise: "1.018", units: "13", unit_price: "46.08", revenue: "599.04", cost: "455.00", margin: "144.04" },
            { month_id: 20, product_id: 6, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "34.14", region_channel_index: "0.385", expected_units: "13.14", demand_noise: "0.938", units: "12", unit_price: "25.20", revenue: "302.40", cost: "228.00", margin: "74.40" },
            { month_id: 16, product_id: 1, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "46.24", region_channel_index: "0.770", expected_units: "35.60", demand_noise: "0.998", units: "36", unit_price: "89.00", revenue: "3204.00", cost: "1872.00", margin: "1332.00" },
            { month_id: 13, product_id: 3, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "54.91", region_channel_index: "0.193", expected_units: "10.60", demand_noise: "0.985", units: "10", unit_price: "20.16", revenue: "201.60", cost: "120.00", margin: "81.60" },
            { month_id: 10, product_id: 1, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "31.55", region_channel_index: "0.680", expected_units: "21.45", demand_noise: "0.872", units: "19", unit_price: "89.00", revenue: "1691.00", cost: "988.00", margin: "703.00" },
            { month_id: 10, product_id: 2, region_id: 3, channel_id: 1, promotion: "seasonal sale", product_month_index: "19.49", region_channel_index: "0.770", expected_units: "15.01", demand_noise: "1.041", units: "16", unit_price: "64.00", revenue: "1024.00", cost: "560.00", margin: "464.00" },
            { month_id: 14, product_id: 6, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "37.38", region_channel_index: "0.935", expected_units: "34.95", demand_noise: "1.028", units: "36", unit_price: "35.00", revenue: "1260.00", cost: "684.00", margin: "576.00" },
            { month_id: 1, product_id: 1, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "34.00", region_channel_index: "0.935", expected_units: "31.79", demand_noise: "0.960", units: "31", unit_price: "89.00", revenue: "2759.00", cost: "1612.00", margin: "1147.00" },
            { month_id: 1, product_id: 3, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "48.00", region_channel_index: "1.100", expected_units: "52.80", demand_noise: "0.989", units: "52", unit_price: "28.00", revenue: "1456.00", cost: "624.00", margin: "832.00" },
            { month_id: 11, product_id: 2, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "20.24", region_channel_index: "0.770", expected_units: "15.58", demand_noise: "0.993", units: "15", unit_price: "64.00", revenue: "960.00", cost: "525.00", margin: "435.00" },
            { month_id: 19, product_id: 5, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "31.62", region_channel_index: "0.680", expected_units: "21.50", demand_noise: "0.977", units: "21", unit_price: "129.00", revenue: "2709.00", cost: "1638.00", margin: "1071.00" },
            { month_id: 24, product_id: 1, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "40.32", region_channel_index: "0.770", expected_units: "31.05", demand_noise: "1.065", units: "33", unit_price: "89.00", revenue: "2937.00", cost: "1716.00", margin: "1221.00" },
            { month_id: 5, product_id: 5, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "31.30", region_channel_index: "0.680", expected_units: "21.28", demand_noise: "1.003", units: "21", unit_price: "129.00", revenue: "2709.00", cost: "1638.00", margin: "1071.00" },
            { month_id: 24, product_id: 2, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "24.91", region_channel_index: "0.680", expected_units: "16.94", demand_noise: "0.935", units: "16", unit_price: "64.00", revenue: "1024.00", cost: "560.00", margin: "464.00" },
            { month_id: 18, product_id: 6, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "38.82", region_channel_index: "0.193", expected_units: "7.49", demand_noise: "1.001", units: "7", unit_price: "25.20", revenue: "176.40", cost: "133.00", margin: "43.40" },
            { month_id: 23, product_id: 4, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "88.64", region_channel_index: "0.800", expected_units: "70.91", demand_noise: "0.947", units: "67", unit_price: "19.00", revenue: "1273.00", cost: "502.50", margin: "770.50" },
            { month_id: 5, product_id: 2, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "25.28", region_channel_index: "0.385", expected_units: "9.73", demand_noise: "1.005", units: "10", unit_price: "46.08", revenue: "460.80", cost: "350.00", margin: "110.80" },
            { month_id: 3, product_id: 3, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "56.64", region_channel_index: "0.193", expected_units: "10.93", demand_noise: "0.961", units: "11", unit_price: "20.16", revenue: "221.76", cost: "132.00", margin: "89.76" },
            { month_id: 9, product_id: 5, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "24.44", region_channel_index: "0.935", expected_units: "22.85", demand_noise: "1.049", units: "24", unit_price: "129.00", revenue: "3096.00", cost: "1872.00", margin: "1224.00" },
            { month_id: 4, product_id: 5, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "31.62", region_channel_index: "0.935", expected_units: "29.56", demand_noise: "0.992", units: "29", unit_price: "129.00", revenue: "3741.00", cost: "2262.00", margin: "1479.00" },
            { month_id: 21, product_id: 2, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "22.76", region_channel_index: "0.680", expected_units: "15.48", demand_noise: "1.023", units: "16", unit_price: "64.00", revenue: "1024.00", cost: "560.00", margin: "464.00" },
            { month_id: 23, product_id: 6, region_id: 2, channel_id: 1, promotion: "seasonal sale", product_month_index: "33.24", region_channel_index: "0.935", expected_units: "31.08", demand_noise: "0.954", units: "30", unit_price: "35.00", revenue: "1050.00", cost: "570.00", margin: "480.00" },
            { month_id: 16, product_id: 1, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "46.24", region_channel_index: "0.280", expected_units: "12.95", demand_noise: "0.985", units: "13", unit_price: "89.00", revenue: "1157.00", cost: "676.00", margin: "481.00" },
            { month_id: 24, product_id: 1, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "40.32", region_channel_index: "0.280", expected_units: "11.29", demand_noise: "0.970", units: "11", unit_price: "89.00", revenue: "979.00", cost: "572.00", margin: "407.00" },
            { month_id: 16, product_id: 5, region_id: 2, channel_id: 3, promotion: "seasonal sale", product_month_index: "35.36", region_channel_index: "0.468", expected_units: "16.55", demand_noise: "0.991", units: "16", unit_price: "92.88", revenue: "1486.08", cost: "1248.00", margin: "238.08" },
            { month_id: 21, product_id: 4, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "86.72", region_channel_index: "0.385", expected_units: "33.39", demand_noise: "1.041", units: "35", unit_price: "13.68", revenue: "478.80", cost: "262.50", margin: "216.30" },
            { month_id: 11, product_id: 5, region_id: 2, channel_id: 3, promotion: "seasonal sale", product_month_index: "25.06", region_channel_index: "0.468", expected_units: "11.73", demand_noise: "0.970", units: "11", unit_price: "92.88", revenue: "1021.68", cost: "858.00", margin: "163.68" },
            { month_id: 18, product_id: 1, region_id: 2, channel_id: 1, promotion: "seasonal sale", product_month_index: "44.00", region_channel_index: "0.935", expected_units: "41.14", demand_noise: "1.039", units: "43", unit_price: "89.00", revenue: "3827.00", cost: "2236.00", margin: "1591.00" },
            { month_id: 18, product_id: 5, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "33.64", region_channel_index: "0.560", expected_units: "18.84", demand_noise: "0.995", units: "19", unit_price: "129.00", revenue: "2451.00", cost: "1482.00", margin: "969.00" },
            { month_id: 13, product_id: 6, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "34.32", region_channel_index: "0.385", expected_units: "13.21", demand_noise: "0.993", units: "13", unit_price: "35.00", revenue: "455.00", cost: "247.00", margin: "208.00" },
            { month_id: 8, product_id: 2, region_id: 2, channel_id: 2, promotion: "clearance", product_month_index: "20.87", region_channel_index: "0.680", expected_units: "14.19", demand_noise: "0.965", units: "14", unit_price: "64.00", revenue: "896.00", cost: "490.00", margin: "406.00" },
            { month_id: 23, product_id: 6, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "33.24", region_channel_index: "0.193", expected_units: "6.42", demand_noise: "1.029", units: "7", unit_price: "25.20", revenue: "176.40", cost: "133.00", margin: "43.40" },
            { month_id: 24, product_id: 5, region_id: 4, channel_id: 3, promotion: "seasonal sale", product_month_index: "30.84", region_channel_index: "0.193", expected_units: "5.95", demand_noise: "0.994", units: "6", unit_price: "92.88", revenue: "557.28", cost: "468.00", margin: "89.28" },
            { month_id: 18, product_id: 2, region_id: 4, channel_id: 1, promotion: "seasonal sale", product_month_index: "27.17", region_channel_index: "0.385", expected_units: "10.46", demand_noise: "1.045", units: "11", unit_price: "64.00", revenue: "704.00", cost: "385.00", margin: "319.00" },
            { month_id: 10, product_id: 4, region_id: 2, channel_id: 1, promotion: "seasonal sale", product_month_index: "74.24", region_channel_index: "0.935", expected_units: "69.41", demand_noise: "0.978", units: "68", unit_price: "19.00", revenue: "1292.00", cost: "510.00", margin: "782.00" },
            { month_id: 5, product_id: 3, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "57.79", region_channel_index: "0.935", expected_units: "54.03", demand_noise: "0.964", units: "52", unit_price: "28.00", revenue: "1456.00", cost: "624.00", margin: "832.00" },
            { month_id: 20, product_id: 2, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "23.90", region_channel_index: "0.385", expected_units: "9.20", demand_noise: "0.981", units: "9", unit_price: "64.00", revenue: "576.00", cost: "315.00", margin: "261.00" },
            { month_id: 1, product_id: 5, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "26.00", region_channel_index: "0.193", expected_units: "5.02", demand_noise: "1.073", units: "5", unit_price: "92.88", revenue: "464.40", cost: "390.00", margin: "74.40" },
            { month_id: 20, product_id: 5, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "29.59", region_channel_index: "0.468", expected_units: "13.85", demand_noise: "1.045", units: "14", unit_price: "92.88", revenue: "1300.32", cost: "1092.00", margin: "208.32" },
            { month_id: 17, product_id: 1, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "45.83", region_channel_index: "0.385", expected_units: "17.64", demand_noise: "0.975", units: "17", unit_price: "64.08", revenue: "1089.36", cost: "884.00", margin: "205.36" },
            { month_id: 9, product_id: 5, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "24.44", region_channel_index: "0.550", expected_units: "13.44", demand_noise: "1.009", units: "14", unit_price: "92.88", revenue: "1300.32", cost: "1092.00", margin: "208.32" },
            { month_id: 22, product_id: 6, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "32.16", region_channel_index: "0.280", expected_units: "9.00", demand_noise: "0.989", units: "9", unit_price: "35.00", revenue: "315.00", cost: "171.00", margin: "144.00" },
            { month_id: 7, product_id: 3, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "51.46", region_channel_index: "0.770", expected_units: "39.62", demand_noise: "1.012", units: "40", unit_price: "28.00", revenue: "1120.00", cost: "480.00", margin: "640.00" },
            { month_id: 3, product_id: 3, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "56.64", region_channel_index: "0.468", expected_units: "26.51", demand_noise: "1.074", units: "28", unit_price: "20.16", revenue: "564.48", cost: "336.00", margin: "228.48" },
            { month_id: 18, product_id: 3, region_id: 4, channel_id: 2, promotion: "clearance", product_month_index: "62.11", region_channel_index: "0.280", expected_units: "17.39", demand_noise: "0.987", units: "17", unit_price: "28.00", revenue: "476.00", cost: "204.00", margin: "272.00" },
            { month_id: 15, product_id: 3, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "63.55", region_channel_index: "0.280", expected_units: "17.79", demand_noise: "1.006", units: "18", unit_price: "28.00", revenue: "504.00", cost: "216.00", margin: "288.00" },
            { month_id: 19, product_id: 2, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "25.54", region_channel_index: "0.680", expected_units: "17.37", demand_noise: "1.061", units: "18", unit_price: "64.00", revenue: "1152.00", cost: "630.00", margin: "522.00" },
            { month_id: 9, product_id: 2, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "19.74", region_channel_index: "0.935", expected_units: "18.46", demand_noise: "1.059", units: "20", unit_price: "64.00", revenue: "1280.00", cost: "700.00", margin: "580.00" },
            { month_id: 24, product_id: 3, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "56.93", region_channel_index: "0.935", expected_units: "53.23", demand_noise: "0.882", units: "47", unit_price: "28.00", revenue: "1316.00", cost: "564.00", margin: "752.00" },
            { month_id: 13, product_id: 5, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "29.74", region_channel_index: "0.800", expected_units: "23.79", demand_noise: "1.051", units: "25", unit_price: "129.00", revenue: "3225.00", cost: "1950.00", margin: "1275.00" },
            { month_id: 8, product_id: 3, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "47.71", region_channel_index: "0.468", expected_units: "22.33", demand_noise: "0.952", units: "21", unit_price: "20.16", revenue: "423.36", cost: "252.00", margin: "171.36" },
            { month_id: 14, product_id: 6, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "37.38", region_channel_index: "0.280", expected_units: "10.47", demand_noise: "1.023", units: "11", unit_price: "35.00", revenue: "385.00", cost: "209.00", margin: "176.00" },
            { month_id: 2, product_id: 4, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "88.16", region_channel_index: "1.100", expected_units: "96.98", demand_noise: "1.034", units: "100", unit_price: "19.00", revenue: "1900.00", cost: "750.00", margin: "1150.00" },
            { month_id: 7, product_id: 6, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "32.16", region_channel_index: "0.385", expected_units: "12.38", demand_noise: "1.018", units: "13", unit_price: "35.00", revenue: "455.00", cost: "247.00", margin: "208.00" },
            { month_id: 11, product_id: 6, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "28.92", region_channel_index: "0.560", expected_units: "16.20", demand_noise: "1.028", units: "17", unit_price: "35.00", revenue: "595.00", cost: "323.00", margin: "272.00" },
            { month_id: 18, product_id: 1, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "44.00", region_channel_index: "0.385", expected_units: "16.94", demand_noise: "0.942", units: "16", unit_price: "64.08", revenue: "1025.28", cost: "832.00", margin: "193.28" },
            { month_id: 6, product_id: 3, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "55.20", region_channel_index: "0.800", expected_units: "44.16", demand_noise: "1.096", units: "48", unit_price: "28.00", revenue: "1344.00", cost: "576.00", margin: "768.00" },
            { month_id: 13, product_id: 2, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "24.02", region_channel_index: "0.280", expected_units: "6.73", demand_noise: "0.948", units: "6", unit_price: "64.00", revenue: "384.00", cost: "210.00", margin: "174.00" },
            { month_id: 9, product_id: 1, region_id: 2, channel_id: 1, promotion: "clearance", product_month_index: "31.96", region_channel_index: "0.935", expected_units: "29.88", demand_noise: "1.001", units: "30", unit_price: "89.00", revenue: "2670.00", cost: "1560.00", margin: "1110.00" },
            { month_id: 1, product_id: 1, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "34.00", region_channel_index: "0.560", expected_units: "19.04", demand_noise: "1.008", units: "19", unit_price: "89.00", revenue: "1691.00", cost: "988.00", margin: "703.00" },
            { month_id: 22, product_id: 2, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "22.51", region_channel_index: "0.385", expected_units: "8.67", demand_noise: "0.941", units: "8", unit_price: "46.08", revenue: "368.64", cost: "280.00", margin: "88.64" },
            { month_id: 16, product_id: 6, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "40.80", region_channel_index: "0.385", expected_units: "15.71", demand_noise: "1.066", units: "17", unit_price: "35.00", revenue: "595.00", cost: "323.00", margin: "272.00" },
            { month_id: 20, product_id: 3, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "54.62", region_channel_index: "0.385", expected_units: "21.03", demand_noise: "1.027", units: "22", unit_price: "20.16", revenue: "443.52", cost: "264.00", margin: "179.52" },
            { month_id: 11, product_id: 5, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "25.06", region_channel_index: "0.800", expected_units: "20.05", demand_noise: "1.074", units: "22", unit_price: "129.00", revenue: "2838.00", cost: "1716.00", margin: "1122.00" },
            { month_id: 24, product_id: 4, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "94.88", region_channel_index: "0.560", expected_units: "53.13", demand_noise: "1.041", units: "55", unit_price: "19.00", revenue: "1045.00", cost: "412.50", margin: "632.50" },
            { month_id: 5, product_id: 4, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "96.32", region_channel_index: "0.770", expected_units: "74.17", demand_noise: "1.033", units: "77", unit_price: "19.00", revenue: "1463.00", cost: "577.50", margin: "885.50" },
            { month_id: 16, product_id: 2, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "28.56", region_channel_index: "0.770", expected_units: "21.99", demand_noise: "0.995", units: "22", unit_price: "64.00", revenue: "1408.00", cost: "770.00", margin: "638.00" },
            { month_id: 21, product_id: 4, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "86.72", region_channel_index: "0.193", expected_units: "16.74", demand_noise: "1.038", units: "17", unit_price: "13.68", revenue: "232.56", cost: "127.50", margin: "105.06" },
            { month_id: 22, product_id: 4, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "85.76", region_channel_index: "0.193", expected_units: "16.55", demand_noise: "1.027", units: "17", unit_price: "13.68", revenue: "232.56", cost: "127.50", margin: "105.06" },
            { month_id: 19, product_id: 5, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "31.62", region_channel_index: "0.800", expected_units: "25.30", demand_noise: "1.010", units: "26", unit_price: "129.00", revenue: "3354.00", cost: "2028.00", margin: "1326.00" },
            { month_id: 3, product_id: 1, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "40.12", region_channel_index: "0.280", expected_units: "11.23", demand_noise: "1.045", units: "12", unit_price: "89.00", revenue: "1068.00", cost: "624.00", margin: "444.00" },
            { month_id: 12, product_id: 3, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "50.02", region_channel_index: "0.550", expected_units: "27.51", demand_noise: "0.980", units: "27", unit_price: "20.16", revenue: "544.32", cost: "324.00", margin: "220.32" },
            { month_id: 2, product_id: 2, region_id: 2, channel_id: 1, promotion: "seasonal sale", product_month_index: "23.14", region_channel_index: "0.935", expected_units: "21.64", demand_noise: "0.953", units: "21", unit_price: "64.00", revenue: "1344.00", cost: "735.00", margin: "609.00" },
            { month_id: 14, product_id: 4, region_id: 1, channel_id: 2, promotion: "clearance", product_month_index: "99.68", region_channel_index: "0.800", expected_units: "79.74", demand_noise: "0.906", units: "72", unit_price: "19.00", revenue: "1368.00", cost: "540.00", margin: "828.00" },
            { month_id: 9, product_id: 2, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "19.74", region_channel_index: "0.193", expected_units: "3.81", demand_noise: "0.974", units: "4", unit_price: "46.08", revenue: "184.32", cost: "140.00", margin: "44.32" },
            { month_id: 4, product_id: 2, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "25.54", region_channel_index: "0.385", expected_units: "9.83", demand_noise: "1.069", units: "11", unit_price: "46.08", revenue: "506.88", cost: "385.00", margin: "121.88" },
            { month_id: 8, product_id: 6, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "29.82", region_channel_index: "0.935", expected_units: "27.88", demand_noise: "0.998", units: "28", unit_price: "35.00", revenue: "980.00", cost: "532.00", margin: "448.00" },
            { month_id: 10, product_id: 3, region_id: 4, channel_id: 2, promotion: "seasonal sale", product_month_index: "44.54", region_channel_index: "0.280", expected_units: "12.47", demand_noise: "0.948", units: "12", unit_price: "28.00", revenue: "336.00", cost: "144.00", margin: "192.00" },
            { month_id: 23, product_id: 5, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "28.81", region_channel_index: "0.193", expected_units: "5.56", demand_noise: "1.004", units: "6", unit_price: "92.88", revenue: "557.28", cost: "468.00", margin: "89.28" },
            { month_id: 8, product_id: 6, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "29.82", region_channel_index: "0.680", expected_units: "20.28", demand_noise: "0.976", units: "20", unit_price: "35.00", revenue: "700.00", cost: "380.00", margin: "320.00" },
            { month_id: 3, product_id: 3, region_id: 1, channel_id: 2, promotion: "seasonal sale", product_month_index: "56.64", region_channel_index: "0.800", expected_units: "45.31", demand_noise: "1.000", units: "45", unit_price: "28.00", revenue: "1260.00", cost: "540.00", margin: "720.00" },
            { month_id: 23, product_id: 4, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "88.64", region_channel_index: "0.468", expected_units: "41.48", demand_noise: "1.035", units: "43", unit_price: "13.68", revenue: "588.24", cost: "322.50", margin: "265.74" },
            { month_id: 19, product_id: 4, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "97.28", region_channel_index: "0.800", expected_units: "77.82", demand_noise: "1.024", units: "80", unit_price: "19.00", revenue: "1520.00", cost: "600.00", margin: "920.00" },
            { month_id: 15, product_id: 1, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "45.02", region_channel_index: "0.560", expected_units: "25.21", demand_noise: "1.009", units: "25", unit_price: "89.00", revenue: "2225.00", cost: "1300.00", margin: "925.00" },
            { month_id: 13, product_id: 5, region_id: 1, channel_id: 3, promotion: "seasonal sale", product_month_index: "29.74", region_channel_index: "0.550", expected_units: "16.36", demand_noise: "0.993", units: "16", unit_price: "92.88", revenue: "1486.08", cost: "1248.00", margin: "238.08" },
            { month_id: 11, product_id: 2, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "20.24", region_channel_index: "0.468", expected_units: "9.47", demand_noise: "1.089", units: "10", unit_price: "46.08", revenue: "460.80", cost: "350.00", margin: "110.80" },
            { month_id: 9, product_id: 5, region_id: 3, channel_id: 1, promotion: "seasonal sale", product_month_index: "24.44", region_channel_index: "0.770", expected_units: "18.82", demand_noise: "0.965", units: "18", unit_price: "129.00", revenue: "2322.00", cost: "1404.00", margin: "918.00" },
            { month_id: 23, product_id: 1, region_id: 4, channel_id: 1, promotion: "seasonal sale", product_month_index: "37.67", region_channel_index: "0.385", expected_units: "14.50", demand_noise: "1.035", units: "15", unit_price: "89.00", revenue: "1335.00", cost: "780.00", margin: "555.00" },
            { month_id: 7, product_id: 4, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "85.76", region_channel_index: "0.468", expected_units: "40.14", demand_noise: "1.014", units: "41", unit_price: "13.68", revenue: "560.88", cost: "307.50", margin: "253.38" },
            { month_id: 1, product_id: 5, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "26.00", region_channel_index: "0.385", expected_units: "10.01", demand_noise: "1.009", units: "10", unit_price: "129.00", revenue: "1290.00", cost: "780.00", margin: "510.00" },
            { month_id: 10, product_id: 2, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "19.49", region_channel_index: "0.280", expected_units: "5.46", demand_noise: "1.005", units: "5", unit_price: "64.00", revenue: "320.00", cost: "175.00", margin: "145.00" },
            { month_id: 14, product_id: 5, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "32.40", region_channel_index: "1.100", expected_units: "35.64", demand_noise: "1.025", units: "37", unit_price: "129.00", revenue: "4773.00", cost: "2886.00", margin: "1887.00" },
            { month_id: 6, product_id: 2, region_id: 4, channel_id: 2, promotion: "seasonal sale", product_month_index: "24.15", region_channel_index: "0.280", expected_units: "6.76", demand_noise: "1.075", units: "7", unit_price: "64.00", revenue: "448.00", cost: "245.00", margin: "203.00" },
            { month_id: 11, product_id: 4, region_id: 4, channel_id: 3, promotion: "seasonal sale", product_month_index: "77.12", region_channel_index: "0.193", expected_units: "14.88", demand_noise: "0.996", units: "15", unit_price: "13.68", revenue: "205.20", cost: "112.50", margin: "92.70" },
            { month_id: 22, product_id: 3, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "51.46", region_channel_index: "0.468", expected_units: "24.08", demand_noise: "1.026", units: "25", unit_price: "20.16", revenue: "504.00", cost: "300.00", margin: "204.00" },
            { month_id: 6, product_id: 3, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "55.20", region_channel_index: "0.280", expected_units: "15.46", demand_noise: "0.932", units: "14", unit_price: "28.00", revenue: "392.00", cost: "168.00", margin: "224.00" },
            { month_id: 13, product_id: 3, region_id: 1, channel_id: 3, promotion: "seasonal sale", product_month_index: "54.91", region_channel_index: "0.550", expected_units: "30.20", demand_noise: "1.020", units: "31", unit_price: "20.16", revenue: "624.96", cost: "372.00", margin: "252.96" },
            { month_id: 13, product_id: 1, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "38.90", region_channel_index: "0.193", expected_units: "7.51", demand_noise: "0.919", units: "7", unit_price: "64.08", revenue: "448.56", cost: "364.00", margin: "84.56" },
            { month_id: 6, product_id: 2, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "24.15", region_channel_index: "0.385", expected_units: "9.30", demand_noise: "0.954", units: "9", unit_price: "46.08", revenue: "414.72", cost: "315.00", margin: "99.72" },
            { month_id: 17, product_id: 4, region_id: 4, channel_id: 3, promotion: "clearance", product_month_index: "107.84", region_channel_index: "0.193", expected_units: "20.81", demand_noise: "0.990", units: "21", unit_price: "13.68", revenue: "287.28", cost: "157.50", margin: "129.78" },
            { month_id: 11, product_id: 5, region_id: 1, channel_id: 1, promotion: "seasonal sale", product_month_index: "25.06", region_channel_index: "1.100", expected_units: "27.57", demand_noise: "1.061", units: "29", unit_price: "129.00", revenue: "3741.00", cost: "2262.00", margin: "1479.00" },
            { month_id: 11, product_id: 5, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "25.06", region_channel_index: "0.385", expected_units: "9.65", demand_noise: "0.986", units: "10", unit_price: "129.00", revenue: "1290.00", cost: "780.00", margin: "510.00" },
            { month_id: 8, product_id: 6, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "29.82", region_channel_index: "0.800", expected_units: "23.86", demand_noise: "1.005", units: "24", unit_price: "35.00", revenue: "840.00", cost: "456.00", margin: "384.00" },
            { month_id: 17, product_id: 2, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "28.31", region_channel_index: "0.468", expected_units: "13.25", demand_noise: "0.940", units: "12", unit_price: "46.08", revenue: "552.96", cost: "420.00", margin: "132.96" },
            { month_id: 2, product_id: 4, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "88.16", region_channel_index: "0.680", expected_units: "59.95", demand_noise: "1.006", units: "60", unit_price: "19.00", revenue: "1140.00", cost: "450.00", margin: "690.00" },
            { month_id: 4, product_id: 6, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "36.48", region_channel_index: "0.770", expected_units: "28.09", demand_noise: "0.935", units: "26", unit_price: "35.00", revenue: "910.00", cost: "494.00", margin: "416.00" },
            { month_id: 17, product_id: 2, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "28.31", region_channel_index: "0.560", expected_units: "15.85", demand_noise: "0.941", units: "15", unit_price: "64.00", revenue: "960.00", cost: "525.00", margin: "435.00" },
            { month_id: 10, product_id: 2, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "19.49", region_channel_index: "1.100", expected_units: "21.44", demand_noise: "0.961", units: "21", unit_price: "64.00", revenue: "1344.00", cost: "735.00", margin: "609.00" },
            { month_id: 6, product_id: 5, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "29.90", region_channel_index: "0.468", expected_units: "13.99", demand_noise: "0.977", units: "14", unit_price: "92.88", revenue: "1300.32", cost: "1092.00", margin: "208.32" },
            { month_id: 18, product_id: 2, region_id: 4, channel_id: 3, promotion: "clearance", product_month_index: "27.17", region_channel_index: "0.193", expected_units: "5.24", demand_noise: "1.035", units: "5", unit_price: "46.08", revenue: "230.40", cost: "175.00", margin: "55.40" },
            { month_id: 20, product_id: 1, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "38.69", region_channel_index: "0.680", expected_units: "26.31", demand_noise: "1.043", units: "27", unit_price: "89.00", revenue: "2403.00", cost: "1404.00", margin: "999.00" },
            { month_id: 20, product_id: 2, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "23.90", region_channel_index: "0.770", expected_units: "18.40", demand_noise: "1.031", units: "19", unit_price: "64.00", revenue: "1216.00", cost: "665.00", margin: "551.00" },
            { month_id: 18, product_id: 4, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "103.52", region_channel_index: "0.550", expected_units: "56.94", demand_noise: "1.095", units: "62", unit_price: "13.68", revenue: "848.16", cost: "465.00", margin: "383.16" },
            { month_id: 13, product_id: 6, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "34.32", region_channel_index: "0.935", expected_units: "32.09", demand_noise: "0.969", units: "31", unit_price: "35.00", revenue: "1085.00", cost: "589.00", margin: "496.00" },
            { month_id: 2, product_id: 3, region_id: 3, channel_id: 1, promotion: "seasonal sale", product_month_index: "52.90", region_channel_index: "0.770", expected_units: "40.73", demand_noise: "0.972", units: "40", unit_price: "28.00", revenue: "1120.00", cost: "480.00", margin: "640.00" },
            { month_id: 13, product_id: 2, region_id: 1, channel_id: 2, promotion: "clearance", product_month_index: "24.02", region_channel_index: "0.800", expected_units: "19.22", demand_noise: "1.010", units: "19", unit_price: "64.00", revenue: "1216.00", cost: "665.00", margin: "551.00" },
            { month_id: 5, product_id: 4, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "96.32", region_channel_index: "0.800", expected_units: "77.06", demand_noise: "1.025", units: "79", unit_price: "19.00", revenue: "1501.00", cost: "592.50", margin: "908.50" },
            { month_id: 23, product_id: 5, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "28.81", region_channel_index: "1.100", expected_units: "31.69", demand_noise: "1.004", units: "32", unit_price: "129.00", revenue: "4128.00", cost: "2496.00", margin: "1632.00" },
            { month_id: 2, product_id: 1, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "37.47", region_channel_index: "1.100", expected_units: "41.22", demand_noise: "0.907", units: "37", unit_price: "89.00", revenue: "3293.00", cost: "1924.00", margin: "1369.00" },
            { month_id: 18, product_id: 1, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "44.00", region_channel_index: "0.770", expected_units: "33.88", demand_noise: "1.025", units: "35", unit_price: "89.00", revenue: "3115.00", cost: "1820.00", margin: "1295.00" },
            { month_id: 9, product_id: 1, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "31.96", region_channel_index: "0.193", expected_units: "6.17", demand_noise: "1.037", units: "6", unit_price: "64.08", revenue: "384.48", cost: "312.00", margin: "72.48" },
            { month_id: 16, product_id: 2, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "28.56", region_channel_index: "1.100", expected_units: "31.42", demand_noise: "1.044", units: "33", unit_price: "64.00", revenue: "2112.00", cost: "1155.00", margin: "957.00" },
            { month_id: 4, product_id: 5, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "31.62", region_channel_index: "0.550", expected_units: "17.39", demand_noise: "1.017", units: "18", unit_price: "92.88", revenue: "1671.84", cost: "1404.00", margin: "267.84" },
            { month_id: 10, product_id: 2, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "19.49", region_channel_index: "0.560", expected_units: "10.91", demand_noise: "0.996", units: "11", unit_price: "64.00", revenue: "704.00", cost: "385.00", margin: "319.00" },
            { month_id: 5, product_id: 1, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "40.94", region_channel_index: "0.280", expected_units: "11.46", demand_noise: "0.966", units: "11", unit_price: "89.00", revenue: "979.00", cost: "572.00", margin: "407.00" },
            { month_id: 21, product_id: 6, region_id: 2, channel_id: 3, promotion: "seasonal sale", product_month_index: "32.52", region_channel_index: "0.468", expected_units: "15.22", demand_noise: "1.054", units: "16", unit_price: "25.20", revenue: "403.20", cost: "304.00", margin: "99.20" },
            { month_id: 18, product_id: 5, region_id: 3, channel_id: 3, promotion: "seasonal sale", product_month_index: "33.64", region_channel_index: "0.385", expected_units: "12.95", demand_noise: "1.069", units: "14", unit_price: "92.88", revenue: "1300.32", cost: "1092.00", margin: "208.32" },
            { month_id: 23, product_id: 3, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "53.18", region_channel_index: "0.770", expected_units: "40.95", demand_noise: "1.065", units: "44", unit_price: "28.00", revenue: "1232.00", cost: "528.00", margin: "704.00" },
            { month_id: 10, product_id: 4, region_id: 4, channel_id: 3, promotion: "seasonal sale", product_month_index: "74.24", region_channel_index: "0.193", expected_units: "14.33", demand_noise: "1.067", units: "15", unit_price: "13.68", revenue: "205.20", cost: "112.50", margin: "92.70" },
            { month_id: 23, product_id: 2, region_id: 4, channel_id: 1, promotion: "seasonal sale", product_month_index: "23.27", region_channel_index: "0.385", expected_units: "8.96", demand_noise: "1.101", units: "10", unit_price: "64.00", revenue: "640.00", cost: "350.00", margin: "290.00" },
            { month_id: 24, product_id: 4, region_id: 2, channel_id: 2, promotion: "seasonal sale", product_month_index: "94.88", region_channel_index: "0.680", expected_units: "64.52", demand_noise: "0.985", units: "64", unit_price: "19.00", revenue: "1216.00", cost: "480.00", margin: "736.00" },
            { month_id: 4, product_id: 2, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "25.54", region_channel_index: "0.468", expected_units: "11.95", demand_noise: "0.978", units: "12", unit_price: "46.08", revenue: "552.96", cost: "420.00", margin: "132.96" },
            { month_id: 4, product_id: 2, region_id: 2, channel_id: 2, promotion: "clearance", product_month_index: "25.54", region_channel_index: "0.680", expected_units: "17.37", demand_noise: "1.023", units: "18", unit_price: "64.00", revenue: "1152.00", cost: "630.00", margin: "522.00" },
            { month_id: 6, product_id: 6, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "34.50", region_channel_index: "0.935", expected_units: "32.26", demand_noise: "1.014", units: "33", unit_price: "35.00", revenue: "1155.00", cost: "627.00", margin: "528.00" },
            { month_id: 11, product_id: 2, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "20.24", region_channel_index: "0.385", expected_units: "7.79", demand_noise: "0.996", units: "8", unit_price: "46.08", revenue: "368.64", cost: "280.00", margin: "88.64" },
            { month_id: 23, product_id: 5, region_id: 1, channel_id: 2, promotion: "seasonal sale", product_month_index: "28.81", region_channel_index: "0.800", expected_units: "23.05", demand_noise: "1.071", units: "25", unit_price: "129.00", revenue: "3225.00", cost: "1950.00", margin: "1275.00" },
            { month_id: 19, product_id: 6, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "36.48", region_channel_index: "1.100", expected_units: "40.13", demand_noise: "0.923", units: "37", unit_price: "35.00", revenue: "1295.00", cost: "703.00", margin: "592.00" },
            { month_id: 14, product_id: 1, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "42.36", region_channel_index: "0.468", expected_units: "19.82", demand_noise: "1.039", units: "21", unit_price: "64.08", revenue: "1345.68", cost: "1092.00", margin: "253.68" },
            { month_id: 12, product_id: 1, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "35.43", region_channel_index: "0.193", expected_units: "6.84", demand_noise: "1.017", units: "7", unit_price: "64.08", revenue: "448.56", cost: "364.00", margin: "84.56" },
            { month_id: 20, product_id: 4, region_id: 4, channel_id: 2, promotion: "seasonal sale", product_month_index: "91.04", region_channel_index: "0.280", expected_units: "25.49", demand_noise: "1.066", units: "27", unit_price: "19.00", revenue: "513.00", cost: "202.50", margin: "310.50" },
            { month_id: 12, product_id: 2, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "21.88", region_channel_index: "0.385", expected_units: "8.42", demand_noise: "1.000", units: "8", unit_price: "46.08", revenue: "368.64", cost: "280.00", margin: "88.64" },
            { month_id: 20, product_id: 4, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "91.04", region_channel_index: "0.680", expected_units: "61.91", demand_noise: "0.897", units: "56", unit_price: "19.00", revenue: "1064.00", cost: "420.00", margin: "644.00" },
            { month_id: 17, product_id: 1, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "45.83", region_channel_index: "0.193", expected_units: "8.85", demand_noise: "1.011", units: "9", unit_price: "64.08", revenue: "576.72", cost: "468.00", margin: "108.72" },
            { month_id: 10, product_id: 2, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "19.49", region_channel_index: "0.800", expected_units: "15.59", demand_noise: "1.050", units: "16", unit_price: "64.00", revenue: "1024.00", cost: "560.00", margin: "464.00" },
            { month_id: 16, product_id: 4, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "108.80", region_channel_index: "0.680", expected_units: "73.98", demand_noise: "1.000", units: "74", unit_price: "19.00", revenue: "1406.00", cost: "555.00", margin: "851.00" },
            { month_id: 11, product_id: 3, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "46.27", region_channel_index: "0.800", expected_units: "37.02", demand_noise: "1.014", units: "38", unit_price: "28.00", revenue: "1064.00", cost: "456.00", margin: "608.00" },
            { month_id: 3, product_id: 1, region_id: 3, channel_id: 2, promotion: "seasonal sale", product_month_index: "40.12", region_channel_index: "0.560", expected_units: "22.47", demand_noise: "1.043", units: "23", unit_price: "89.00", revenue: "2047.00", cost: "1196.00", margin: "851.00" },
            { month_id: 11, product_id: 3, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "46.27", region_channel_index: "0.935", expected_units: "43.26", demand_noise: "0.997", units: "43", unit_price: "28.00", revenue: "1204.00", cost: "516.00", margin: "688.00" },
            { month_id: 23, product_id: 5, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "28.81", region_channel_index: "0.280", expected_units: "8.07", demand_noise: "0.998", units: "8", unit_price: "129.00", revenue: "1032.00", cost: "624.00", margin: "408.00" },
            { month_id: 16, product_id: 4, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "108.80", region_channel_index: "0.280", expected_units: "30.46", demand_noise: "0.971", units: "30", unit_price: "19.00", revenue: "570.00", cost: "225.00", margin: "345.00" },
            { month_id: 23, product_id: 3, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "53.18", region_channel_index: "0.680", expected_units: "36.16", demand_noise: "0.927", units: "34", unit_price: "28.00", revenue: "952.00", cost: "408.00", margin: "544.00" },
            { month_id: 20, product_id: 4, region_id: 4, channel_id: 3, promotion: "seasonal sale", product_month_index: "91.04", region_channel_index: "0.193", expected_units: "17.57", demand_noise: "0.937", units: "16", unit_price: "13.68", revenue: "218.88", cost: "120.00", margin: "98.88" },
            { month_id: 2, product_id: 5, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "28.65", region_channel_index: "0.193", expected_units: "5.53", demand_noise: "1.005", units: "6", unit_price: "92.88", revenue: "557.28", cost: "468.00", margin: "89.28" },
            { month_id: 21, product_id: 6, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "32.52", region_channel_index: "1.100", expected_units: "35.77", demand_noise: "1.054", units: "38", unit_price: "35.00", revenue: "1330.00", cost: "722.00", margin: "608.00" },
            { month_id: 19, product_id: 6, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "36.48", region_channel_index: "0.385", expected_units: "14.04", demand_noise: "1.022", units: "14", unit_price: "35.00", revenue: "490.00", cost: "266.00", margin: "224.00" },
            { month_id: 22, product_id: 6, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "32.16", region_channel_index: "0.770", expected_units: "24.76", demand_noise: "0.963", units: "24", unit_price: "35.00", revenue: "840.00", cost: "456.00", margin: "384.00" },
            { month_id: 14, product_id: 3, region_id: 4, channel_id: 3, promotion: "seasonal sale", product_month_index: "59.81", region_channel_index: "0.193", expected_units: "11.54", demand_noise: "1.055", units: "12", unit_price: "20.16", revenue: "241.92", cost: "144.00", margin: "97.92" },
            { month_id: 1, product_id: 5, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "26.00", region_channel_index: "0.280", expected_units: "7.28", demand_noise: "1.018", units: "7", unit_price: "129.00", revenue: "903.00", cost: "546.00", margin: "357.00" },
            { month_id: 4, product_id: 6, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "36.48", region_channel_index: "0.680", expected_units: "24.81", demand_noise: "1.027", units: "25", unit_price: "35.00", revenue: "875.00", cost: "475.00", margin: "400.00" },
            { month_id: 16, product_id: 3, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "65.28", region_channel_index: "0.385", expected_units: "25.13", demand_noise: "0.953", units: "24", unit_price: "28.00", revenue: "672.00", cost: "288.00", margin: "384.00" },
            { month_id: 23, product_id: 4, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "88.64", region_channel_index: "0.935", expected_units: "82.88", demand_noise: "1.008", units: "84", unit_price: "19.00", revenue: "1596.00", cost: "630.00", margin: "966.00" },
            { month_id: 13, product_id: 3, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "54.91", region_channel_index: "0.385", expected_units: "21.14", demand_noise: "0.992", units: "21", unit_price: "20.16", revenue: "423.36", cost: "252.00", margin: "171.36" },
            { month_id: 8, product_id: 6, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "29.82", region_channel_index: "1.100", expected_units: "32.80", demand_noise: "0.960", units: "31", unit_price: "35.00", revenue: "1085.00", cost: "589.00", margin: "496.00" },
            { month_id: 20, product_id: 4, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "91.04", region_channel_index: "0.770", expected_units: "70.10", demand_noise: "0.962", units: "67", unit_price: "19.00", revenue: "1273.00", cost: "502.50", margin: "770.50" },
            { month_id: 12, product_id: 4, region_id: 1, channel_id: 3, promotion: "seasonal sale", product_month_index: "83.36", region_channel_index: "0.550", expected_units: "45.85", demand_noise: "1.010", units: "46", unit_price: "13.68", revenue: "629.28", cost: "345.00", margin: "284.28" },
            { month_id: 19, product_id: 1, region_id: 1, channel_id: 2, promotion: "seasonal sale", product_month_index: "41.34", region_channel_index: "0.800", expected_units: "33.07", demand_noise: "1.065", units: "35", unit_price: "89.00", revenue: "3115.00", cost: "1820.00", margin: "1295.00" },
            { month_id: 15, product_id: 1, region_id: 1, channel_id: 1, promotion: "seasonal sale", product_month_index: "45.02", region_channel_index: "1.100", expected_units: "49.52", demand_noise: "0.938", units: "46", unit_price: "89.00", revenue: "4094.00", cost: "2392.00", margin: "1702.00" },
            { month_id: 6, product_id: 4, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "92.00", region_channel_index: "0.560", expected_units: "51.52", demand_noise: "1.019", units: "52", unit_price: "19.00", revenue: "988.00", cost: "390.00", margin: "598.00" },
            { month_id: 5, product_id: 2, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "25.28", region_channel_index: "0.770", expected_units: "19.47", demand_noise: "1.016", units: "20", unit_price: "64.00", revenue: "1280.00", cost: "700.00", margin: "580.00" },
            { month_id: 4, product_id: 1, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "41.34", region_channel_index: "1.100", expected_units: "45.47", demand_noise: "1.049", units: "48", unit_price: "89.00", revenue: "4272.00", cost: "2496.00", margin: "1776.00" },
            { month_id: 1, product_id: 2, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "21.00", region_channel_index: "1.100", expected_units: "23.10", demand_noise: "0.974", units: "22", unit_price: "64.00", revenue: "1408.00", cost: "770.00", margin: "638.00" },
            { month_id: 5, product_id: 2, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "25.28", region_channel_index: "0.935", expected_units: "23.64", demand_noise: "1.020", units: "24", unit_price: "64.00", revenue: "1536.00", cost: "840.00", margin: "696.00" },
            { month_id: 23, product_id: 2, region_id: 1, channel_id: 1, promotion: "clearance", product_month_index: "23.27", region_channel_index: "1.100", expected_units: "25.60", demand_noise: "0.990", units: "25", unit_price: "64.00", revenue: "1600.00", cost: "875.00", margin: "725.00" },
            { month_id: 7, product_id: 1, region_id: 2, channel_id: 1, promotion: "seasonal sale", product_month_index: "36.45", region_channel_index: "0.935", expected_units: "34.08", demand_noise: "1.022", units: "35", unit_price: "89.00", revenue: "3115.00", cost: "1820.00", margin: "1295.00" },
            { month_id: 3, product_id: 5, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "30.68", region_channel_index: "0.800", expected_units: "24.54", demand_noise: "0.999", units: "25", unit_price: "129.00", revenue: "3225.00", cost: "1950.00", margin: "1275.00" },
            { month_id: 17, product_id: 2, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "28.31", region_channel_index: "0.385", expected_units: "10.90", demand_noise: "1.023", units: "11", unit_price: "64.00", revenue: "704.00", cost: "385.00", margin: "319.00" },
            { month_id: 23, product_id: 1, region_id: 2, channel_id: 1, promotion: "seasonal sale", product_month_index: "37.67", region_channel_index: "0.935", expected_units: "35.22", demand_noise: "0.936", units: "33", unit_price: "89.00", revenue: "2937.00", cost: "1716.00", margin: "1221.00" },
            { month_id: 13, product_id: 2, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "24.02", region_channel_index: "0.550", expected_units: "13.21", demand_noise: "1.002", units: "13", unit_price: "46.08", revenue: "599.04", cost: "455.00", margin: "144.04" },
            { month_id: 2, product_id: 6, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "33.06", region_channel_index: "0.680", expected_units: "22.48", demand_noise: "0.990", units: "22", unit_price: "35.00", revenue: "770.00", cost: "418.00", margin: "352.00" },
            { month_id: 13, product_id: 1, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "38.90", region_channel_index: "1.100", expected_units: "42.79", demand_noise: "1.022", units: "44", unit_price: "89.00", revenue: "3916.00", cost: "2288.00", margin: "1628.00" },
            { month_id: 14, product_id: 5, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "32.40", region_channel_index: "0.385", expected_units: "12.47", demand_noise: "0.986", units: "12", unit_price: "92.88", revenue: "1114.56", cost: "936.00", margin: "178.56" },
            { month_id: 18, product_id: 6, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "38.82", region_channel_index: "0.385", expected_units: "14.95", demand_noise: "1.022", units: "15", unit_price: "35.00", revenue: "525.00", cost: "285.00", margin: "240.00" },
            { month_id: 24, product_id: 5, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "30.84", region_channel_index: "0.468", expected_units: "14.43", demand_noise: "1.001", units: "14", unit_price: "92.88", revenue: "1300.32", cost: "1092.00", margin: "208.32" },
            { month_id: 2, product_id: 4, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "88.16", region_channel_index: "0.280", expected_units: "24.68", demand_noise: "0.906", units: "22", unit_price: "19.00", revenue: "418.00", cost: "165.00", margin: "253.00" },
            { month_id: 21, product_id: 3, region_id: 1, channel_id: 1, promotion: "seasonal sale", product_month_index: "52.03", region_channel_index: "1.100", expected_units: "57.23", demand_noise: "1.069", units: "61", unit_price: "28.00", revenue: "1708.00", cost: "732.00", margin: "976.00" },
            { month_id: 3, product_id: 3, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "56.64", region_channel_index: "0.280", expected_units: "15.86", demand_noise: "0.987", units: "16", unit_price: "28.00", revenue: "448.00", cost: "192.00", margin: "256.00" },
            { month_id: 18, product_id: 4, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "103.52", region_channel_index: "0.560", expected_units: "57.97", demand_noise: "1.016", units: "59", unit_price: "19.00", revenue: "1121.00", cost: "442.50", margin: "678.50" },
            { month_id: 22, product_id: 1, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "36.45", region_channel_index: "1.100", expected_units: "40.10", demand_noise: "0.983", units: "39", unit_price: "89.00", revenue: "3471.00", cost: "2028.00", margin: "1443.00" },
            { month_id: 12, product_id: 6, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "31.26", region_channel_index: "0.280", expected_units: "8.75", demand_noise: "0.996", units: "9", unit_price: "35.00", revenue: "315.00", cost: "171.00", margin: "144.00" },
            { month_id: 19, product_id: 4, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "97.28", region_channel_index: "0.560", expected_units: "54.48", demand_noise: "1.039", units: "57", unit_price: "19.00", revenue: "1083.00", cost: "427.50", margin: "655.50" },
            { month_id: 17, product_id: 3, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "64.70", region_channel_index: "0.385", expected_units: "24.91", demand_noise: "1.069", units: "27", unit_price: "28.00", revenue: "756.00", cost: "324.00", margin: "432.00" },
            { month_id: 1, product_id: 2, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "21.00", region_channel_index: "0.280", expected_units: "5.88", demand_noise: "1.011", units: "6", unit_price: "64.00", revenue: "384.00", cost: "210.00", margin: "174.00" },
            { month_id: 14, product_id: 1, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "42.36", region_channel_index: "0.550", expected_units: "23.30", demand_noise: "1.055", units: "25", unit_price: "64.08", revenue: "1602.00", cost: "1300.00", margin: "302.00" },
            { month_id: 2, product_id: 4, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "88.16", region_channel_index: "0.468", expected_units: "41.26", demand_noise: "0.930", units: "38", unit_price: "13.68", revenue: "519.84", cost: "285.00", margin: "234.84" },
            { month_id: 6, product_id: 3, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "55.20", region_channel_index: "0.935", expected_units: "51.61", demand_noise: "1.011", units: "52", unit_price: "28.00", revenue: "1456.00", cost: "624.00", margin: "832.00" },
            { month_id: 20, product_id: 5, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "29.59", region_channel_index: "0.193", expected_units: "5.71", demand_noise: "1.064", units: "6", unit_price: "92.88", revenue: "557.28", cost: "468.00", margin: "89.28" },
            { month_id: 3, product_id: 4, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "94.40", region_channel_index: "0.680", expected_units: "64.19", demand_noise: "0.948", units: "61", unit_price: "19.00", revenue: "1159.00", cost: "457.50", margin: "701.50" },
            { month_id: 10, product_id: 3, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "44.54", region_channel_index: "0.550", expected_units: "24.50", demand_noise: "0.983", units: "24", unit_price: "20.16", revenue: "483.84", cost: "288.00", margin: "195.84" },
            { month_id: 20, product_id: 6, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "34.14", region_channel_index: "0.560", expected_units: "19.12", demand_noise: "0.973", units: "19", unit_price: "35.00", revenue: "665.00", cost: "361.00", margin: "304.00" },
            { month_id: 9, product_id: 2, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "19.74", region_channel_index: "0.385", expected_units: "7.60", demand_noise: "1.017", units: "8", unit_price: "46.08", revenue: "368.64", cost: "280.00", margin: "88.64" },
            { month_id: 4, product_id: 5, region_id: 2, channel_id: 3, promotion: "seasonal sale", product_month_index: "31.62", region_channel_index: "0.468", expected_units: "14.80", demand_noise: "0.942", units: "14", unit_price: "92.88", revenue: "1300.32", cost: "1092.00", margin: "208.32" },
            { month_id: 12, product_id: 2, region_id: 4, channel_id: 3, promotion: "seasonal sale", product_month_index: "21.88", region_channel_index: "0.193", expected_units: "4.22", demand_noise: "0.988", units: "4", unit_price: "46.08", revenue: "184.32", cost: "140.00", margin: "44.32" },
            { month_id: 14, product_id: 3, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "59.81", region_channel_index: "0.770", expected_units: "46.05", demand_noise: "1.015", units: "47", unit_price: "28.00", revenue: "1316.00", cost: "564.00", margin: "752.00" },
            { month_id: 11, product_id: 6, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "28.92", region_channel_index: "0.468", expected_units: "13.53", demand_noise: "1.033", units: "14", unit_price: "25.20", revenue: "352.80", cost: "266.00", margin: "86.80" },
            { month_id: 2, product_id: 3, region_id: 2, channel_id: 1, promotion: "seasonal sale", product_month_index: "52.90", region_channel_index: "0.935", expected_units: "49.46", demand_noise: "0.973", units: "48", unit_price: "28.00", revenue: "1344.00", cost: "576.00", margin: "768.00" },
            { month_id: 18, product_id: 3, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "62.11", region_channel_index: "0.468", expected_units: "29.07", demand_noise: "0.972", units: "28", unit_price: "20.16", revenue: "564.48", cost: "336.00", margin: "228.48" },
            { month_id: 3, product_id: 2, region_id: 2, channel_id: 3, promotion: "seasonal sale", product_month_index: "24.78", region_channel_index: "0.468", expected_units: "11.60", demand_noise: "0.983", units: "11", unit_price: "46.08", revenue: "506.88", cost: "385.00", margin: "121.88" },
            { month_id: 22, product_id: 2, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "22.51", region_channel_index: "0.280", expected_units: "6.30", demand_noise: "0.947", units: "6", unit_price: "64.00", revenue: "384.00", cost: "210.00", margin: "174.00" },
            { month_id: 16, product_id: 3, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "65.28", region_channel_index: "0.193", expected_units: "12.60", demand_noise: "1.021", units: "13", unit_price: "20.16", revenue: "262.08", cost: "156.00", margin: "106.08" },
            { month_id: 11, product_id: 4, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "77.12", region_channel_index: "0.935", expected_units: "72.11", demand_noise: "0.920", units: "66", unit_price: "19.00", revenue: "1254.00", cost: "495.00", margin: "759.00" },
            { month_id: 18, product_id: 1, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "44.00", region_channel_index: "0.468", expected_units: "20.59", demand_noise: "1.033", units: "21", unit_price: "64.08", revenue: "1345.68", cost: "1092.00", margin: "253.68" },
            { month_id: 1, product_id: 4, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "80.00", region_channel_index: "0.770", expected_units: "61.60", demand_noise: "1.062", units: "65", unit_price: "19.00", revenue: "1235.00", cost: "487.50", margin: "747.50" },
            { month_id: 17, product_id: 5, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "35.05", region_channel_index: "0.680", expected_units: "23.83", demand_noise: "1.033", units: "25", unit_price: "129.00", revenue: "3225.00", cost: "1950.00", margin: "1275.00" },
            { month_id: 17, product_id: 5, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "35.05", region_channel_index: "0.468", expected_units: "16.40", demand_noise: "1.002", units: "16", unit_price: "92.88", revenue: "1486.08", cost: "1248.00", margin: "238.08" },
            { month_id: 5, product_id: 6, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "36.12", region_channel_index: "0.280", expected_units: "10.11", demand_noise: "0.955", units: "10", unit_price: "35.00", revenue: "350.00", cost: "190.00", margin: "160.00" },
            { month_id: 2, product_id: 1, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "37.47", region_channel_index: "0.680", expected_units: "25.48", demand_noise: "1.046", units: "27", unit_price: "89.00", revenue: "2403.00", cost: "1404.00", margin: "999.00" },
            { month_id: 18, product_id: 2, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "27.17", region_channel_index: "0.935", expected_units: "25.40", demand_noise: "0.948", units: "24", unit_price: "64.00", revenue: "1536.00", cost: "840.00", margin: "696.00" },
            { month_id: 15, product_id: 4, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "105.92", region_channel_index: "0.560", expected_units: "59.32", demand_noise: "1.024", units: "61", unit_price: "19.00", revenue: "1159.00", cost: "457.50", margin: "701.50" },
            { month_id: 5, product_id: 1, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "40.94", region_channel_index: "0.385", expected_units: "15.76", demand_noise: "1.038", units: "16", unit_price: "64.08", revenue: "1025.28", cost: "832.00", margin: "193.28" },
            { month_id: 21, product_id: 1, region_id: 3, channel_id: 2, promotion: "clearance", product_month_index: "36.86", region_channel_index: "0.560", expected_units: "20.64", demand_noise: "0.942", units: "19", unit_price: "89.00", revenue: "1691.00", cost: "988.00", margin: "703.00" },
            { month_id: 11, product_id: 1, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "32.78", region_channel_index: "0.385", expected_units: "12.62", demand_noise: "0.976", units: "12", unit_price: "89.00", revenue: "1068.00", cost: "624.00", margin: "444.00" },
            { month_id: 2, product_id: 1, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "37.47", region_channel_index: "0.560", expected_units: "20.98", demand_noise: "1.030", units: "22", unit_price: "89.00", revenue: "1958.00", cost: "1144.00", margin: "814.00" },
            { month_id: 18, product_id: 6, region_id: 4, channel_id: 2, promotion: "clearance", product_month_index: "38.82", region_channel_index: "0.280", expected_units: "10.87", demand_noise: "0.990", units: "11", unit_price: "35.00", revenue: "385.00", cost: "209.00", margin: "176.00" },
            { month_id: 16, product_id: 1, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "46.24", region_channel_index: "0.935", expected_units: "43.23", demand_noise: "1.029", units: "44", unit_price: "89.00", revenue: "3916.00", cost: "2288.00", margin: "1628.00" },
            { month_id: 2, product_id: 4, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "88.16", region_channel_index: "0.385", expected_units: "33.94", demand_noise: "0.979", units: "33", unit_price: "19.00", revenue: "627.00", cost: "247.50", margin: "379.50" },
            { month_id: 2, product_id: 5, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "28.65", region_channel_index: "0.280", expected_units: "8.02", demand_noise: "1.047", units: "8", unit_price: "129.00", revenue: "1032.00", cost: "624.00", margin: "408.00" },
            { month_id: 7, product_id: 3, region_id: 2, channel_id: 1, promotion: "clearance", product_month_index: "51.46", region_channel_index: "0.935", expected_units: "48.12", demand_noise: "1.023", units: "49", unit_price: "28.00", revenue: "1372.00", cost: "588.00", margin: "784.00" },
            { month_id: 6, product_id: 1, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "39.10", region_channel_index: "0.385", expected_units: "15.05", demand_noise: "1.052", units: "16", unit_price: "89.00", revenue: "1424.00", cost: "832.00", margin: "592.00" },
            { month_id: 10, product_id: 5, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "24.13", region_channel_index: "0.560", expected_units: "13.51", demand_noise: "1.045", units: "14", unit_price: "129.00", revenue: "1806.00", cost: "1092.00", margin: "714.00" },
            { month_id: 9, product_id: 5, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "24.44", region_channel_index: "0.560", expected_units: "13.69", demand_noise: "0.962", units: "13", unit_price: "129.00", revenue: "1677.00", cost: "1014.00", margin: "663.00" },
            { month_id: 15, product_id: 1, region_id: 4, channel_id: 1, promotion: "seasonal sale", product_month_index: "45.02", region_channel_index: "0.385", expected_units: "17.33", demand_noise: "1.001", units: "17", unit_price: "89.00", revenue: "1513.00", cost: "884.00", margin: "629.00" },
            { month_id: 1, product_id: 3, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "48.00", region_channel_index: "0.680", expected_units: "32.64", demand_noise: "1.027", units: "34", unit_price: "28.00", revenue: "952.00", cost: "408.00", margin: "544.00" },
            { month_id: 18, product_id: 6, region_id: 1, channel_id: 3, promotion: "seasonal sale", product_month_index: "38.82", region_channel_index: "0.550", expected_units: "21.35", demand_noise: "1.063", units: "23", unit_price: "25.20", revenue: "579.60", cost: "437.00", margin: "142.60" },
            { month_id: 10, product_id: 5, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "24.13", region_channel_index: "0.770", expected_units: "18.58", demand_noise: "0.994", units: "18", unit_price: "129.00", revenue: "2322.00", cost: "1404.00", margin: "918.00" },
            { month_id: 9, product_id: 6, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "28.20", region_channel_index: "0.560", expected_units: "15.79", demand_noise: "1.044", units: "16", unit_price: "35.00", revenue: "560.00", cost: "304.00", margin: "256.00" },
            { month_id: 7, product_id: 1, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "36.45", region_channel_index: "0.770", expected_units: "28.07", demand_noise: "1.064", units: "30", unit_price: "89.00", revenue: "2670.00", cost: "1560.00", margin: "1110.00" },
            { month_id: 19, product_id: 2, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "25.54", region_channel_index: "0.385", expected_units: "9.83", demand_noise: "0.965", units: "9", unit_price: "64.00", revenue: "576.00", cost: "315.00", margin: "261.00" },
            { month_id: 21, product_id: 6, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "32.52", region_channel_index: "0.385", expected_units: "12.52", demand_noise: "0.990", units: "12", unit_price: "35.00", revenue: "420.00", cost: "228.00", margin: "192.00" },
            { month_id: 19, product_id: 5, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "31.62", region_channel_index: "0.193", expected_units: "6.10", demand_noise: "0.993", units: "6", unit_price: "92.88", revenue: "557.28", cost: "468.00", margin: "89.28" },
            { month_id: 12, product_id: 5, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "27.09", region_channel_index: "0.468", expected_units: "12.68", demand_noise: "0.925", units: "12", unit_price: "92.88", revenue: "1114.56", cost: "936.00", margin: "178.56" },
            { month_id: 14, product_id: 2, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "26.17", region_channel_index: "0.680", expected_units: "17.80", demand_noise: "0.938", units: "17", unit_price: "64.00", revenue: "1088.00", cost: "595.00", margin: "493.00" },
            { month_id: 9, product_id: 3, region_id: 4, channel_id: 1, promotion: "seasonal sale", product_month_index: "45.12", region_channel_index: "0.385", expected_units: "17.37", demand_noise: "0.925", units: "16", unit_price: "28.00", revenue: "448.00", cost: "192.00", margin: "256.00" },
            { month_id: 22, product_id: 4, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "85.76", region_channel_index: "0.935", expected_units: "80.19", demand_noise: "0.968", units: "78", unit_price: "19.00", revenue: "1482.00", cost: "585.00", margin: "897.00" },
        ],
    });
    await prisma.sales_cube.createMany({
        data: [
            { month_id: 16, product_id: 5, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "35.36", region_channel_index: "0.935", expected_units: "33.06", demand_noise: "0.979", units: "32", unit_price: "129.00", revenue: "4128.00", cost: "2496.00", margin: "1632.00" },
            { month_id: 17, product_id: 6, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "40.44", region_channel_index: "0.680", expected_units: "27.50", demand_noise: "1.094", units: "30", unit_price: "35.00", revenue: "1050.00", cost: "570.00", margin: "480.00" },
            { month_id: 4, product_id: 1, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "41.34", region_channel_index: "0.800", expected_units: "33.07", demand_noise: "1.014", units: "34", unit_price: "89.00", revenue: "3026.00", cost: "1768.00", margin: "1258.00" },
            { month_id: 10, product_id: 3, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "44.54", region_channel_index: "0.468", expected_units: "20.84", demand_noise: "1.047", units: "22", unit_price: "20.16", revenue: "443.52", cost: "264.00", margin: "179.52" },
            { month_id: 18, product_id: 6, region_id: 1, channel_id: 2, promotion: "seasonal sale", product_month_index: "38.82", region_channel_index: "0.800", expected_units: "31.06", demand_noise: "0.983", units: "31", unit_price: "35.00", revenue: "1085.00", cost: "589.00", margin: "496.00" },
            { month_id: 8, product_id: 4, region_id: 2, channel_id: 3, promotion: "seasonal sale", product_month_index: "79.52", region_channel_index: "0.468", expected_units: "37.22", demand_noise: "1.065", units: "40", unit_price: "13.68", revenue: "547.20", cost: "300.00", margin: "247.20" },
            { month_id: 7, product_id: 2, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "22.51", region_channel_index: "0.550", expected_units: "12.38", demand_noise: "1.025", units: "13", unit_price: "46.08", revenue: "599.04", cost: "455.00", margin: "144.04" },
            { month_id: 3, product_id: 6, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "35.40", region_channel_index: "0.193", expected_units: "6.83", demand_noise: "1.074", units: "7", unit_price: "25.20", revenue: "176.40", cost: "133.00", margin: "43.40" },
            { month_id: 14, product_id: 6, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "37.38", region_channel_index: "0.550", expected_units: "20.56", demand_noise: "0.968", units: "20", unit_price: "25.20", revenue: "504.00", cost: "380.00", margin: "124.00" },
            { month_id: 18, product_id: 2, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "27.17", region_channel_index: "0.770", expected_units: "20.92", demand_noise: "1.051", units: "22", unit_price: "64.00", revenue: "1408.00", cost: "770.00", margin: "638.00" },
            { month_id: 12, product_id: 1, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "35.43", region_channel_index: "1.100", expected_units: "38.97", demand_noise: "1.049", units: "41", unit_price: "89.00", revenue: "3649.00", cost: "2132.00", margin: "1517.00" },
            { month_id: 24, product_id: 5, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "30.84", region_channel_index: "0.680", expected_units: "20.97", demand_noise: "1.043", units: "22", unit_price: "129.00", revenue: "2838.00", cost: "1716.00", margin: "1122.00" },
            { month_id: 21, product_id: 5, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "28.18", region_channel_index: "0.800", expected_units: "22.54", demand_noise: "0.948", units: "21", unit_price: "129.00", revenue: "2709.00", cost: "1638.00", margin: "1071.00" },
            { month_id: 11, product_id: 1, region_id: 3, channel_id: 1, promotion: "seasonal sale", product_month_index: "32.78", region_channel_index: "0.770", expected_units: "25.24", demand_noise: "1.047", units: "26", unit_price: "89.00", revenue: "2314.00", cost: "1352.00", margin: "962.00" },
            { month_id: 20, product_id: 6, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "34.14", region_channel_index: "0.935", expected_units: "31.92", demand_noise: "0.966", units: "31", unit_price: "35.00", revenue: "1085.00", cost: "589.00", margin: "496.00" },
            { month_id: 13, product_id: 5, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "29.74", region_channel_index: "0.280", expected_units: "8.33", demand_noise: "1.050", units: "9", unit_price: "129.00", revenue: "1161.00", cost: "702.00", margin: "459.00" },
            { month_id: 24, product_id: 1, region_id: 4, channel_id: 3, promotion: "seasonal sale", product_month_index: "40.32", region_channel_index: "0.193", expected_units: "7.78", demand_noise: "1.017", units: "8", unit_price: "64.08", revenue: "512.64", cost: "416.00", margin: "96.64" },
            { month_id: 19, product_id: 1, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "41.34", region_channel_index: "0.468", expected_units: "19.35", demand_noise: "1.023", units: "20", unit_price: "64.08", revenue: "1281.60", cost: "1040.00", margin: "241.60" },
            { month_id: 1, product_id: 4, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "80.00", region_channel_index: "0.935", expected_units: "74.80", demand_noise: "0.986", units: "74", unit_price: "19.00", revenue: "1406.00", cost: "555.00", margin: "851.00" },
            { month_id: 2, product_id: 6, region_id: 3, channel_id: 1, promotion: "seasonal sale", product_month_index: "33.06", region_channel_index: "0.770", expected_units: "25.46", demand_noise: "1.001", units: "25", unit_price: "35.00", revenue: "875.00", cost: "475.00", margin: "400.00" },
            { month_id: 1, product_id: 4, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "80.00", region_channel_index: "0.385", expected_units: "30.80", demand_noise: "1.010", units: "31", unit_price: "13.68", revenue: "424.08", cost: "232.50", margin: "191.58" },
            { month_id: 12, product_id: 3, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "50.02", region_channel_index: "0.560", expected_units: "28.01", demand_noise: "1.056", units: "30", unit_price: "28.00", revenue: "840.00", cost: "360.00", margin: "480.00" },
            { month_id: 13, product_id: 5, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "29.74", region_channel_index: "0.193", expected_units: "5.74", demand_noise: "0.959", units: "6", unit_price: "92.88", revenue: "557.28", cost: "468.00", margin: "89.28" },
            { month_id: 24, product_id: 6, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "35.58", region_channel_index: "0.680", expected_units: "24.19", demand_noise: "0.972", units: "24", unit_price: "35.00", revenue: "840.00", cost: "456.00", margin: "384.00" },
            { month_id: 13, product_id: 2, region_id: 2, channel_id: 2, promotion: "seasonal sale", product_month_index: "24.02", region_channel_index: "0.680", expected_units: "16.33", demand_noise: "1.075", units: "18", unit_price: "64.00", revenue: "1152.00", cost: "630.00", margin: "522.00" },
            { month_id: 6, product_id: 5, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "29.90", region_channel_index: "0.770", expected_units: "23.02", demand_noise: "1.018", units: "23", unit_price: "129.00", revenue: "2967.00", cost: "1794.00", margin: "1173.00" },
            { month_id: 9, product_id: 4, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "75.20", region_channel_index: "0.193", expected_units: "14.51", demand_noise: "1.055", units: "15", unit_price: "13.68", revenue: "205.20", cost: "112.50", margin: "92.70" },
            { month_id: 12, product_id: 5, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "27.09", region_channel_index: "0.800", expected_units: "21.67", demand_noise: "0.998", units: "22", unit_price: "129.00", revenue: "2838.00", cost: "1716.00", margin: "1122.00" },
            { month_id: 1, product_id: 4, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "80.00", region_channel_index: "0.193", expected_units: "15.44", demand_noise: "0.999", units: "15", unit_price: "13.68", revenue: "205.20", cost: "112.50", margin: "92.70" },
            { month_id: 18, product_id: 5, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "33.64", region_channel_index: "0.935", expected_units: "31.45", demand_noise: "0.934", units: "29", unit_price: "129.00", revenue: "3741.00", cost: "2262.00", margin: "1479.00" },
            { month_id: 13, product_id: 5, region_id: 3, channel_id: 3, promotion: "clearance", product_month_index: "29.74", region_channel_index: "0.385", expected_units: "11.45", demand_noise: "1.021", units: "12", unit_price: "92.88", revenue: "1114.56", cost: "936.00", margin: "178.56" },
            { month_id: 12, product_id: 2, region_id: 2, channel_id: 1, promotion: "seasonal sale", product_month_index: "21.88", region_channel_index: "0.935", expected_units: "20.46", demand_noise: "1.023", units: "21", unit_price: "64.00", revenue: "1344.00", cost: "735.00", margin: "609.00" },
            { month_id: 24, product_id: 6, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "35.58", region_channel_index: "0.193", expected_units: "6.87", demand_noise: "0.993", units: "7", unit_price: "25.20", revenue: "176.40", cost: "133.00", margin: "43.40" },
            { month_id: 1, product_id: 2, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "21.00", region_channel_index: "0.550", expected_units: "11.55", demand_noise: "0.967", units: "11", unit_price: "46.08", revenue: "506.88", cost: "385.00", margin: "121.88" },
            { month_id: 10, product_id: 4, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "74.24", region_channel_index: "1.100", expected_units: "81.66", demand_noise: "0.979", units: "80", unit_price: "19.00", revenue: "1520.00", cost: "600.00", margin: "920.00" },
            { month_id: 18, product_id: 3, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "62.11", region_channel_index: "0.385", expected_units: "23.91", demand_noise: "0.987", units: "24", unit_price: "20.16", revenue: "483.84", cost: "288.00", margin: "195.84" },
            { month_id: 1, product_id: 5, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "26.00", region_channel_index: "0.800", expected_units: "20.80", demand_noise: "1.050", units: "22", unit_price: "129.00", revenue: "2838.00", cost: "1716.00", margin: "1122.00" },
            { month_id: 17, product_id: 6, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "40.44", region_channel_index: "0.560", expected_units: "22.65", demand_noise: "0.946", units: "21", unit_price: "35.00", revenue: "735.00", cost: "399.00", margin: "336.00" },
            { month_id: 23, product_id: 6, region_id: 1, channel_id: 1, promotion: "seasonal sale", product_month_index: "33.24", region_channel_index: "1.100", expected_units: "36.56", demand_noise: "0.912", units: "33", unit_price: "35.00", revenue: "1155.00", cost: "627.00", margin: "528.00" },
            { month_id: 6, product_id: 5, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "29.90", region_channel_index: "0.680", expected_units: "20.33", demand_noise: "1.019", units: "21", unit_price: "129.00", revenue: "2709.00", cost: "1638.00", margin: "1071.00" },
            { month_id: 15, product_id: 5, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "34.42", region_channel_index: "0.680", expected_units: "23.41", demand_noise: "0.952", units: "22", unit_price: "129.00", revenue: "2838.00", cost: "1716.00", margin: "1122.00" },
            { month_id: 19, product_id: 6, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "36.48", region_channel_index: "0.680", expected_units: "24.81", demand_noise: "1.061", units: "26", unit_price: "35.00", revenue: "910.00", cost: "494.00", margin: "416.00" },
            { month_id: 20, product_id: 5, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "29.59", region_channel_index: "0.385", expected_units: "11.39", demand_noise: "1.036", units: "12", unit_price: "129.00", revenue: "1548.00", cost: "936.00", margin: "612.00" },
            { month_id: 14, product_id: 4, region_id: 4, channel_id: 1, promotion: "clearance", product_month_index: "99.68", region_channel_index: "0.385", expected_units: "38.38", demand_noise: "1.062", units: "41", unit_price: "19.00", revenue: "779.00", cost: "307.50", margin: "471.50" },
            { month_id: 18, product_id: 6, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "38.82", region_channel_index: "0.770", expected_units: "29.89", demand_noise: "0.988", units: "30", unit_price: "35.00", revenue: "1050.00", cost: "570.00", margin: "480.00" },
            { month_id: 14, product_id: 1, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "42.36", region_channel_index: "0.770", expected_units: "32.62", demand_noise: "1.026", units: "33", unit_price: "89.00", revenue: "2937.00", cost: "1716.00", margin: "1221.00" },
            { month_id: 5, product_id: 4, region_id: 1, channel_id: 3, promotion: "seasonal sale", product_month_index: "96.32", region_channel_index: "0.550", expected_units: "52.98", demand_noise: "0.962", units: "51", unit_price: "13.68", revenue: "697.68", cost: "382.50", margin: "315.18" },
            { month_id: 2, product_id: 2, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "23.14", region_channel_index: "1.100", expected_units: "25.45", demand_noise: "0.998", units: "25", unit_price: "64.00", revenue: "1600.00", cost: "875.00", margin: "725.00" },
            { month_id: 11, product_id: 2, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "20.24", region_channel_index: "0.680", expected_units: "13.76", demand_noise: "0.980", units: "13", unit_price: "64.00", revenue: "832.00", cost: "455.00", margin: "377.00" },
            { month_id: 22, product_id: 1, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "36.45", region_channel_index: "0.550", expected_units: "20.05", demand_noise: "0.974", units: "20", unit_price: "64.08", revenue: "1281.60", cost: "1040.00", margin: "241.60" },
            { month_id: 13, product_id: 1, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "38.90", region_channel_index: "0.385", expected_units: "14.98", demand_noise: "1.004", units: "15", unit_price: "89.00", revenue: "1335.00", cost: "780.00", margin: "555.00" },
            { month_id: 18, product_id: 2, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "27.17", region_channel_index: "0.385", expected_units: "10.46", demand_noise: "1.030", units: "11", unit_price: "46.08", revenue: "506.88", cost: "385.00", margin: "121.88" },
            { month_id: 20, product_id: 3, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "54.62", region_channel_index: "0.385", expected_units: "21.03", demand_noise: "1.024", units: "22", unit_price: "28.00", revenue: "616.00", cost: "264.00", margin: "352.00" },
            { month_id: 12, product_id: 5, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "27.09", region_channel_index: "0.193", expected_units: "5.23", demand_noise: "0.936", units: "5", unit_price: "92.88", revenue: "464.40", cost: "390.00", margin: "74.40" },
            { month_id: 24, product_id: 1, region_id: 4, channel_id: 1, promotion: "seasonal sale", product_month_index: "40.32", region_channel_index: "0.385", expected_units: "15.52", demand_noise: "1.000", units: "16", unit_price: "89.00", revenue: "1424.00", cost: "832.00", margin: "592.00" },
            { month_id: 16, product_id: 3, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "65.28", region_channel_index: "0.280", expected_units: "18.28", demand_noise: "0.954", units: "17", unit_price: "28.00", revenue: "476.00", cost: "204.00", margin: "272.00" },
            { month_id: 6, product_id: 1, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "39.10", region_channel_index: "0.680", expected_units: "26.59", demand_noise: "1.025", units: "27", unit_price: "89.00", revenue: "2403.00", cost: "1404.00", margin: "999.00" },
            { month_id: 4, product_id: 3, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "58.37", region_channel_index: "0.770", expected_units: "44.94", demand_noise: "1.044", units: "47", unit_price: "28.00", revenue: "1316.00", cost: "564.00", margin: "752.00" },
            { month_id: 9, product_id: 3, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "45.12", region_channel_index: "1.100", expected_units: "49.63", demand_noise: "1.013", units: "50", unit_price: "28.00", revenue: "1400.00", cost: "600.00", margin: "800.00" },
            { month_id: 12, product_id: 2, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "21.88", region_channel_index: "0.680", expected_units: "14.88", demand_noise: "1.005", units: "15", unit_price: "64.00", revenue: "960.00", cost: "525.00", margin: "435.00" },
            { month_id: 22, product_id: 5, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "27.87", region_channel_index: "0.385", expected_units: "10.73", demand_noise: "1.009", units: "11", unit_price: "92.88", revenue: "1021.68", cost: "858.00", margin: "163.68" },
            { month_id: 4, product_id: 6, region_id: 4, channel_id: 2, promotion: "seasonal sale", product_month_index: "36.48", region_channel_index: "0.280", expected_units: "10.21", demand_noise: "0.970", units: "10", unit_price: "35.00", revenue: "350.00", cost: "190.00", margin: "160.00" },
            { month_id: 8, product_id: 4, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "79.52", region_channel_index: "0.193", expected_units: "15.35", demand_noise: "0.982", units: "15", unit_price: "13.68", revenue: "205.20", cost: "112.50", margin: "92.70" },
            { month_id: 7, product_id: 4, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "85.76", region_channel_index: "0.935", expected_units: "80.19", demand_noise: "0.955", units: "77", unit_price: "19.00", revenue: "1463.00", cost: "577.50", margin: "885.50" },
            { month_id: 20, product_id: 1, region_id: 3, channel_id: 3, promotion: "clearance", product_month_index: "38.69", region_channel_index: "0.385", expected_units: "14.90", demand_noise: "1.022", units: "15", unit_price: "64.08", revenue: "961.20", cost: "780.00", margin: "181.20" },
            { month_id: 4, product_id: 6, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "36.48", region_channel_index: "1.100", expected_units: "40.13", demand_noise: "0.908", units: "36", unit_price: "35.00", revenue: "1260.00", cost: "684.00", margin: "576.00" },
            { month_id: 19, product_id: 6, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "36.48", region_channel_index: "0.468", expected_units: "17.07", demand_noise: "0.988", units: "17", unit_price: "25.20", revenue: "428.40", cost: "323.00", margin: "105.40" },
            { month_id: 14, product_id: 3, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "59.81", region_channel_index: "0.560", expected_units: "33.49", demand_noise: "0.958", units: "32", unit_price: "28.00", revenue: "896.00", cost: "384.00", margin: "512.00" },
            { month_id: 20, product_id: 2, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "23.90", region_channel_index: "0.935", expected_units: "22.35", demand_noise: "1.031", units: "23", unit_price: "64.00", revenue: "1472.00", cost: "805.00", margin: "667.00" },
            { month_id: 13, product_id: 3, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "54.91", region_channel_index: "0.770", expected_units: "42.28", demand_noise: "0.982", units: "42", unit_price: "28.00", revenue: "1176.00", cost: "504.00", margin: "672.00" },
            { month_id: 11, product_id: 1, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "32.78", region_channel_index: "0.193", expected_units: "6.33", demand_noise: "0.929", units: "6", unit_price: "64.08", revenue: "384.48", cost: "312.00", margin: "72.48" },
            { month_id: 6, product_id: 4, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "92.00", region_channel_index: "0.800", expected_units: "73.60", demand_noise: "1.021", units: "75", unit_price: "19.00", revenue: "1425.00", cost: "562.50", margin: "862.50" },
            { month_id: 3, product_id: 6, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "35.40", region_channel_index: "0.385", expected_units: "13.63", demand_noise: "1.059", units: "14", unit_price: "35.00", revenue: "490.00", cost: "266.00", margin: "224.00" },
            { month_id: 15, product_id: 4, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "105.92", region_channel_index: "0.468", expected_units: "49.57", demand_noise: "0.971", units: "48", unit_price: "13.68", revenue: "656.64", cost: "360.00", margin: "296.64" },
            { month_id: 8, product_id: 6, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "29.82", region_channel_index: "0.468", expected_units: "13.96", demand_noise: "1.032", units: "14", unit_price: "25.20", revenue: "352.80", cost: "266.00", margin: "86.80" },
            { month_id: 14, product_id: 3, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "59.81", region_channel_index: "0.680", expected_units: "40.67", demand_noise: "0.997", units: "41", unit_price: "28.00", revenue: "1148.00", cost: "492.00", margin: "656.00" },
            { month_id: 5, product_id: 1, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "40.94", region_channel_index: "0.935", expected_units: "38.28", demand_noise: "0.956", units: "37", unit_price: "89.00", revenue: "3293.00", cost: "1924.00", margin: "1369.00" },
            { month_id: 16, product_id: 3, region_id: 3, channel_id: 1, promotion: "clearance", product_month_index: "65.28", region_channel_index: "0.770", expected_units: "50.27", demand_noise: "0.982", units: "49", unit_price: "28.00", revenue: "1372.00", cost: "588.00", margin: "784.00" },
            { month_id: 14, product_id: 1, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "42.36", region_channel_index: "0.385", expected_units: "16.31", demand_noise: "0.936", units: "15", unit_price: "89.00", revenue: "1335.00", cost: "780.00", margin: "555.00" },
            { month_id: 14, product_id: 2, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "26.17", region_channel_index: "0.193", expected_units: "5.05", demand_noise: "0.958", units: "5", unit_price: "46.08", revenue: "230.40", cost: "175.00", margin: "55.40" },
            { month_id: 3, product_id: 2, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "24.78", region_channel_index: "0.280", expected_units: "6.94", demand_noise: "0.906", units: "6", unit_price: "64.00", revenue: "384.00", cost: "210.00", margin: "174.00" },
            { month_id: 4, product_id: 4, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "97.28", region_channel_index: "0.385", expected_units: "37.45", demand_noise: "1.016", units: "38", unit_price: "19.00", revenue: "722.00", cost: "285.00", margin: "437.00" },
            { month_id: 1, product_id: 5, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "26.00", region_channel_index: "0.560", expected_units: "14.56", demand_noise: "0.975", units: "14", unit_price: "129.00", revenue: "1806.00", cost: "1092.00", margin: "714.00" },
            { month_id: 12, product_id: 6, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "31.26", region_channel_index: "0.385", expected_units: "12.04", demand_noise: "0.972", units: "12", unit_price: "35.00", revenue: "420.00", cost: "228.00", margin: "192.00" },
            { month_id: 3, product_id: 2, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "24.78", region_channel_index: "0.560", expected_units: "13.88", demand_noise: "1.010", units: "14", unit_price: "64.00", revenue: "896.00", cost: "490.00", margin: "406.00" },
            { month_id: 10, product_id: 5, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "24.13", region_channel_index: "1.100", expected_units: "26.54", demand_noise: "0.980", units: "26", unit_price: "129.00", revenue: "3354.00", cost: "2028.00", margin: "1326.00" },
            { month_id: 9, product_id: 3, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "45.12", region_channel_index: "0.680", expected_units: "30.68", demand_noise: "0.900", units: "28", unit_price: "28.00", revenue: "784.00", cost: "336.00", margin: "448.00" },
            { month_id: 20, product_id: 6, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "34.14", region_channel_index: "0.550", expected_units: "18.78", demand_noise: "0.991", units: "19", unit_price: "25.20", revenue: "478.80", cost: "361.00", margin: "117.80" },
            { month_id: 14, product_id: 5, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "32.40", region_channel_index: "0.468", expected_units: "15.16", demand_noise: "0.891", units: "14", unit_price: "92.88", revenue: "1300.32", cost: "1092.00", margin: "208.32" },
            { month_id: 6, product_id: 6, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "34.50", region_channel_index: "0.193", expected_units: "6.66", demand_noise: "0.917", units: "6", unit_price: "25.20", revenue: "151.20", cost: "114.00", margin: "37.20" },
            { month_id: 16, product_id: 4, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "108.80", region_channel_index: "0.560", expected_units: "60.93", demand_noise: "1.015", units: "62", unit_price: "19.00", revenue: "1178.00", cost: "465.00", margin: "713.00" },
            { month_id: 21, product_id: 3, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "52.03", region_channel_index: "0.680", expected_units: "35.38", demand_noise: "0.986", units: "35", unit_price: "28.00", revenue: "980.00", cost: "420.00", margin: "560.00" },
            { month_id: 14, product_id: 1, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "42.36", region_channel_index: "0.560", expected_units: "23.72", demand_noise: "0.961", units: "23", unit_price: "89.00", revenue: "2047.00", cost: "1196.00", margin: "851.00" },
            { month_id: 9, product_id: 4, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "75.20", region_channel_index: "0.935", expected_units: "70.31", demand_noise: "0.981", units: "69", unit_price: "19.00", revenue: "1311.00", cost: "517.50", margin: "793.50" },
            { month_id: 4, product_id: 3, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "58.37", region_channel_index: "0.680", expected_units: "39.69", demand_noise: "1.010", units: "40", unit_price: "28.00", revenue: "1120.00", cost: "480.00", margin: "640.00" },
            { month_id: 18, product_id: 4, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "103.52", region_channel_index: "1.100", expected_units: "113.87", demand_noise: "0.965", units: "110", unit_price: "19.00", revenue: "2090.00", cost: "825.00", margin: "1265.00" },
            { month_id: 18, product_id: 3, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "62.11", region_channel_index: "0.935", expected_units: "58.07", demand_noise: "1.057", units: "61", unit_price: "28.00", revenue: "1708.00", cost: "732.00", margin: "976.00" },
            { month_id: 8, product_id: 5, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "25.84", region_channel_index: "1.100", expected_units: "28.42", demand_noise: "0.957", units: "27", unit_price: "129.00", revenue: "3483.00", cost: "2106.00", margin: "1377.00" },
            { month_id: 2, product_id: 6, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "33.06", region_channel_index: "0.560", expected_units: "18.51", demand_noise: "0.949", units: "18", unit_price: "35.00", revenue: "630.00", cost: "342.00", margin: "288.00" },
            { month_id: 14, product_id: 2, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "26.17", region_channel_index: "0.385", expected_units: "10.08", demand_noise: "1.017", units: "10", unit_price: "46.08", revenue: "460.80", cost: "350.00", margin: "110.80" },
            { month_id: 12, product_id: 5, region_id: 2, channel_id: 1, promotion: "clearance", product_month_index: "27.09", region_channel_index: "0.935", expected_units: "25.33", demand_noise: "1.045", units: "26", unit_price: "129.00", revenue: "3354.00", cost: "2028.00", margin: "1326.00" },
            { month_id: 9, product_id: 2, region_id: 1, channel_id: 1, promotion: "seasonal sale", product_month_index: "19.74", region_channel_index: "1.100", expected_units: "21.71", demand_noise: "1.026", units: "22", unit_price: "64.00", revenue: "1408.00", cost: "770.00", margin: "638.00" },
            { month_id: 18, product_id: 2, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "27.17", region_channel_index: "0.800", expected_units: "21.74", demand_noise: "1.057", units: "23", unit_price: "64.00", revenue: "1472.00", cost: "805.00", margin: "667.00" },
            { month_id: 11, product_id: 4, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "77.12", region_channel_index: "0.680", expected_units: "52.44", demand_noise: "0.995", units: "52", unit_price: "19.00", revenue: "988.00", cost: "390.00", margin: "598.00" },
            { month_id: 20, product_id: 4, region_id: 3, channel_id: 2, promotion: "seasonal sale", product_month_index: "91.04", region_channel_index: "0.560", expected_units: "50.98", demand_noise: "1.017", units: "52", unit_price: "19.00", revenue: "988.00", cost: "390.00", margin: "598.00" },
            { month_id: 2, product_id: 3, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "52.90", region_channel_index: "0.193", expected_units: "10.21", demand_noise: "0.982", units: "10", unit_price: "20.16", revenue: "201.60", cost: "120.00", margin: "81.60" },
            { month_id: 7, product_id: 5, region_id: 3, channel_id: 2, promotion: "seasonal sale", product_month_index: "27.87", region_channel_index: "0.560", expected_units: "15.61", demand_noise: "1.017", units: "16", unit_price: "129.00", revenue: "2064.00", cost: "1248.00", margin: "816.00" },
            { month_id: 23, product_id: 3, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "53.18", region_channel_index: "1.100", expected_units: "58.50", demand_noise: "0.988", units: "58", unit_price: "28.00", revenue: "1624.00", cost: "696.00", margin: "928.00" },
            { month_id: 4, product_id: 4, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "97.28", region_channel_index: "0.770", expected_units: "74.91", demand_noise: "1.014", units: "76", unit_price: "19.00", revenue: "1444.00", cost: "570.00", margin: "874.00" },
            { month_id: 17, product_id: 3, region_id: 2, channel_id: 2, promotion: "seasonal sale", product_month_index: "64.70", region_channel_index: "0.680", expected_units: "44.00", demand_noise: "0.999", units: "44", unit_price: "28.00", revenue: "1232.00", cost: "528.00", margin: "704.00" },
            { month_id: 21, product_id: 2, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "22.76", region_channel_index: "0.280", expected_units: "6.37", demand_noise: "0.995", units: "6", unit_price: "64.00", revenue: "384.00", cost: "210.00", margin: "174.00" },
            { month_id: 14, product_id: 6, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "37.38", region_channel_index: "0.800", expected_units: "29.90", demand_noise: "0.992", units: "30", unit_price: "35.00", revenue: "1050.00", cost: "570.00", margin: "480.00" },
            { month_id: 24, product_id: 4, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "94.88", region_channel_index: "0.385", expected_units: "36.53", demand_noise: "0.905", units: "33", unit_price: "19.00", revenue: "627.00", cost: "247.50", margin: "379.50" },
            { month_id: 13, product_id: 3, region_id: 1, channel_id: 1, promotion: "clearance", product_month_index: "54.91", region_channel_index: "1.100", expected_units: "60.40", demand_noise: "1.009", units: "61", unit_price: "28.00", revenue: "1708.00", cost: "732.00", margin: "976.00" },
            { month_id: 23, product_id: 1, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "37.67", region_channel_index: "0.193", expected_units: "7.27", demand_noise: "0.964", units: "7", unit_price: "64.08", revenue: "448.56", cost: "364.00", margin: "84.56" },
            { month_id: 14, product_id: 5, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "32.40", region_channel_index: "0.560", expected_units: "18.14", demand_noise: "1.005", units: "18", unit_price: "129.00", revenue: "2322.00", cost: "1404.00", margin: "918.00" },
            { month_id: 4, product_id: 2, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "25.54", region_channel_index: "0.280", expected_units: "7.15", demand_noise: "0.975", units: "7", unit_price: "64.00", revenue: "448.00", cost: "245.00", margin: "203.00" },
            { month_id: 3, product_id: 2, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "24.78", region_channel_index: "0.680", expected_units: "16.85", demand_noise: "0.951", units: "16", unit_price: "64.00", revenue: "1024.00", cost: "560.00", margin: "464.00" },
            { month_id: 23, product_id: 2, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "23.27", region_channel_index: "0.935", expected_units: "21.76", demand_noise: "1.015", units: "22", unit_price: "64.00", revenue: "1408.00", cost: "770.00", margin: "638.00" },
            { month_id: 17, product_id: 6, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "40.44", region_channel_index: "0.280", expected_units: "11.32", demand_noise: "1.064", units: "12", unit_price: "35.00", revenue: "420.00", cost: "228.00", margin: "192.00" },
            { month_id: 1, product_id: 4, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "80.00", region_channel_index: "0.550", expected_units: "44.00", demand_noise: "1.005", units: "44", unit_price: "13.68", revenue: "601.92", cost: "330.00", margin: "271.92" },
            { month_id: 5, product_id: 4, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "96.32", region_channel_index: "0.560", expected_units: "53.94", demand_noise: "1.021", units: "55", unit_price: "19.00", revenue: "1045.00", cost: "412.50", margin: "632.50" },
            { month_id: 8, product_id: 2, region_id: 4, channel_id: 1, promotion: "clearance", product_month_index: "20.87", region_channel_index: "0.385", expected_units: "8.03", demand_noise: "0.996", units: "8", unit_price: "64.00", revenue: "512.00", cost: "280.00", margin: "232.00" },
            { month_id: 23, product_id: 6, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "33.24", region_channel_index: "0.800", expected_units: "26.59", demand_noise: "1.059", units: "28", unit_price: "35.00", revenue: "980.00", cost: "532.00", margin: "448.00" },
            { month_id: 6, product_id: 6, region_id: 4, channel_id: 1, promotion: "seasonal sale", product_month_index: "34.50", region_channel_index: "0.385", expected_units: "13.28", demand_noise: "1.091", units: "14", unit_price: "35.00", revenue: "490.00", cost: "266.00", margin: "224.00" },
            { month_id: 3, product_id: 4, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "94.40", region_channel_index: "0.935", expected_units: "88.26", demand_noise: "1.025", units: "90", unit_price: "19.00", revenue: "1710.00", cost: "675.00", margin: "1035.00" },
            { month_id: 23, product_id: 3, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "53.18", region_channel_index: "0.800", expected_units: "42.54", demand_noise: "1.031", units: "44", unit_price: "28.00", revenue: "1232.00", cost: "528.00", margin: "704.00" },
            { month_id: 17, product_id: 3, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "64.70", region_channel_index: "1.100", expected_units: "71.17", demand_noise: "1.007", units: "72", unit_price: "28.00", revenue: "2016.00", cost: "864.00", margin: "1152.00" },
            { month_id: 8, product_id: 2, region_id: 1, channel_id: 1, promotion: "seasonal sale", product_month_index: "20.87", region_channel_index: "1.100", expected_units: "22.96", demand_noise: "1.016", units: "23", unit_price: "64.00", revenue: "1472.00", cost: "805.00", margin: "667.00" },
            { month_id: 14, product_id: 6, region_id: 2, channel_id: 2, promotion: "seasonal sale", product_month_index: "37.38", region_channel_index: "0.680", expected_units: "25.42", demand_noise: "0.928", units: "24", unit_price: "35.00", revenue: "840.00", cost: "456.00", margin: "384.00" },
            { month_id: 3, product_id: 3, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "56.64", region_channel_index: "0.385", expected_units: "21.81", demand_noise: "1.063", units: "23", unit_price: "28.00", revenue: "644.00", cost: "276.00", margin: "368.00" },
            { month_id: 17, product_id: 3, region_id: 3, channel_id: 1, promotion: "seasonal sale", product_month_index: "64.70", region_channel_index: "0.770", expected_units: "49.82", demand_noise: "0.910", units: "45", unit_price: "28.00", revenue: "1260.00", cost: "540.00", margin: "720.00" },
            { month_id: 24, product_id: 5, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "30.84", region_channel_index: "0.280", expected_units: "8.64", demand_noise: "1.027", units: "9", unit_price: "129.00", revenue: "1161.00", cost: "702.00", margin: "459.00" },
            { month_id: 19, product_id: 5, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "31.62", region_channel_index: "0.385", expected_units: "12.17", demand_noise: "1.013", units: "12", unit_price: "129.00", revenue: "1548.00", cost: "936.00", margin: "612.00" },
            { month_id: 20, product_id: 3, region_id: 1, channel_id: 3, promotion: "seasonal sale", product_month_index: "54.62", region_channel_index: "0.550", expected_units: "30.04", demand_noise: "0.975", units: "29", unit_price: "20.16", revenue: "584.64", cost: "348.00", margin: "236.64" },
            { month_id: 12, product_id: 4, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "83.36", region_channel_index: "0.385", expected_units: "32.09", demand_noise: "0.966", units: "31", unit_price: "19.00", revenue: "589.00", cost: "232.50", margin: "356.50" },
            { month_id: 9, product_id: 6, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "28.20", region_channel_index: "0.680", expected_units: "19.18", demand_noise: "0.943", units: "18", unit_price: "35.00", revenue: "630.00", cost: "342.00", margin: "288.00" },
            { month_id: 22, product_id: 3, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "51.46", region_channel_index: "0.385", expected_units: "19.81", demand_noise: "1.010", units: "20", unit_price: "28.00", revenue: "560.00", cost: "240.00", margin: "320.00" },
            { month_id: 9, product_id: 4, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "75.20", region_channel_index: "1.100", expected_units: "82.72", demand_noise: "1.030", units: "85", unit_price: "19.00", revenue: "1615.00", cost: "637.50", margin: "977.50" },
            { month_id: 5, product_id: 1, region_id: 3, channel_id: 1, promotion: "seasonal sale", product_month_index: "40.94", region_channel_index: "0.770", expected_units: "31.52", demand_noise: "1.025", units: "32", unit_price: "89.00", revenue: "2848.00", cost: "1664.00", margin: "1184.00" },
            { month_id: 5, product_id: 5, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "31.30", region_channel_index: "0.385", expected_units: "12.05", demand_noise: "1.038", units: "13", unit_price: "129.00", revenue: "1677.00", cost: "1014.00", margin: "663.00" },
            { month_id: 19, product_id: 5, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "31.62", region_channel_index: "0.280", expected_units: "8.85", demand_noise: "1.008", units: "9", unit_price: "129.00", revenue: "1161.00", cost: "702.00", margin: "459.00" },
            { month_id: 13, product_id: 1, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "38.90", region_channel_index: "0.680", expected_units: "26.45", demand_noise: "0.951", units: "25", unit_price: "89.00", revenue: "2225.00", cost: "1300.00", margin: "925.00" },
            { month_id: 1, product_id: 6, region_id: 1, channel_id: 2, promotion: "seasonal sale", product_month_index: "30.00", region_channel_index: "0.800", expected_units: "24.00", demand_noise: "1.089", units: "26", unit_price: "35.00", revenue: "910.00", cost: "494.00", margin: "416.00" },
            { month_id: 11, product_id: 5, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "25.06", region_channel_index: "0.550", expected_units: "13.78", demand_noise: "1.078", units: "15", unit_price: "92.88", revenue: "1393.20", cost: "1170.00", margin: "223.20" },
            { month_id: 3, product_id: 3, region_id: 2, channel_id: 1, promotion: "clearance", product_month_index: "56.64", region_channel_index: "0.935", expected_units: "52.96", demand_noise: "1.035", units: "55", unit_price: "28.00", revenue: "1540.00", cost: "660.00", margin: "880.00" },
            { month_id: 24, product_id: 4, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "94.88", region_channel_index: "0.385", expected_units: "36.53", demand_noise: "1.019", units: "37", unit_price: "13.68", revenue: "506.16", cost: "277.50", margin: "228.66" },
            { month_id: 20, product_id: 2, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "23.90", region_channel_index: "0.280", expected_units: "6.69", demand_noise: "0.994", units: "7", unit_price: "64.00", revenue: "448.00", cost: "245.00", margin: "203.00" },
            { month_id: 16, product_id: 6, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "40.80", region_channel_index: "1.100", expected_units: "44.88", demand_noise: "0.957", units: "43", unit_price: "35.00", revenue: "1505.00", cost: "817.00", margin: "688.00" },
            { month_id: 24, product_id: 6, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "35.58", region_channel_index: "0.800", expected_units: "28.46", demand_noise: "0.986", units: "28", unit_price: "35.00", revenue: "980.00", cost: "532.00", margin: "448.00" },
            { month_id: 23, product_id: 5, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "28.81", region_channel_index: "0.385", expected_units: "11.09", demand_noise: "0.967", units: "11", unit_price: "92.88", revenue: "1021.68", cost: "858.00", margin: "163.68" },
            { month_id: 24, product_id: 2, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "24.91", region_channel_index: "0.280", expected_units: "6.97", demand_noise: "1.022", units: "7", unit_price: "64.00", revenue: "448.00", cost: "245.00", margin: "203.00" },
            { month_id: 10, product_id: 2, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "19.49", region_channel_index: "0.385", expected_units: "7.50", demand_noise: "0.954", units: "7", unit_price: "64.00", revenue: "448.00", cost: "245.00", margin: "203.00" },
            { month_id: 21, product_id: 1, region_id: 4, channel_id: 1, promotion: "seasonal sale", product_month_index: "36.86", region_channel_index: "0.385", expected_units: "14.19", demand_noise: "1.087", units: "15", unit_price: "89.00", revenue: "1335.00", cost: "780.00", margin: "555.00" },
            { month_id: 20, product_id: 2, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "23.90", region_channel_index: "0.550", expected_units: "13.15", demand_noise: "1.007", units: "13", unit_price: "46.08", revenue: "599.04", cost: "455.00", margin: "144.04" },
            { month_id: 18, product_id: 6, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "38.82", region_channel_index: "0.385", expected_units: "14.95", demand_noise: "0.998", units: "15", unit_price: "25.20", revenue: "378.00", cost: "285.00", margin: "93.00" },
            { month_id: 7, product_id: 4, region_id: 4, channel_id: 2, promotion: "clearance", product_month_index: "85.76", region_channel_index: "0.280", expected_units: "24.01", demand_noise: "0.966", units: "23", unit_price: "19.00", revenue: "437.00", cost: "172.50", margin: "264.50" },
            { month_id: 21, product_id: 1, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "36.86", region_channel_index: "0.385", expected_units: "14.19", demand_noise: "1.082", units: "15", unit_price: "64.08", revenue: "961.20", cost: "780.00", margin: "181.20" },
            { month_id: 18, product_id: 2, region_id: 4, channel_id: 2, promotion: "clearance", product_month_index: "27.17", region_channel_index: "0.280", expected_units: "7.61", demand_noise: "0.938", units: "7", unit_price: "64.00", revenue: "448.00", cost: "245.00", margin: "203.00" },
            { month_id: 9, product_id: 1, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "31.96", region_channel_index: "1.100", expected_units: "35.16", demand_noise: "0.955", units: "34", unit_price: "89.00", revenue: "3026.00", cost: "1768.00", margin: "1258.00" },
            { month_id: 2, product_id: 5, region_id: 2, channel_id: 1, promotion: "seasonal sale", product_month_index: "28.65", region_channel_index: "0.935", expected_units: "26.79", demand_noise: "0.962", units: "26", unit_price: "129.00", revenue: "3354.00", cost: "2028.00", margin: "1326.00" },
            { month_id: 18, product_id: 4, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "103.52", region_channel_index: "0.770", expected_units: "79.71", demand_noise: "1.027", units: "82", unit_price: "19.00", revenue: "1558.00", cost: "615.00", margin: "943.00" },
            { month_id: 2, product_id: 4, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "88.16", region_channel_index: "0.800", expected_units: "70.53", demand_noise: "0.922", units: "65", unit_price: "19.00", revenue: "1235.00", cost: "487.50", margin: "747.50" },
            { month_id: 17, product_id: 3, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "64.70", region_channel_index: "0.385", expected_units: "24.91", demand_noise: "1.007", units: "25", unit_price: "20.16", revenue: "504.00", cost: "300.00", margin: "204.00" },
            { month_id: 7, product_id: 6, region_id: 1, channel_id: 2, promotion: "seasonal sale", product_month_index: "32.16", region_channel_index: "0.800", expected_units: "25.73", demand_noise: "0.979", units: "25", unit_price: "35.00", revenue: "875.00", cost: "475.00", margin: "400.00" },
            { month_id: 15, product_id: 6, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "39.72", region_channel_index: "0.385", expected_units: "15.29", demand_noise: "0.987", units: "15", unit_price: "35.00", revenue: "525.00", cost: "285.00", margin: "240.00" },
            { month_id: 7, product_id: 5, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "27.87", region_channel_index: "0.385", expected_units: "10.73", demand_noise: "0.971", units: "10", unit_price: "92.88", revenue: "928.80", cost: "780.00", margin: "148.80" },
            { month_id: 16, product_id: 5, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "35.36", region_channel_index: "0.560", expected_units: "19.80", demand_noise: "1.055", units: "21", unit_price: "129.00", revenue: "2709.00", cost: "1638.00", margin: "1071.00" },
            { month_id: 19, product_id: 1, region_id: 3, channel_id: 1, promotion: "clearance", product_month_index: "41.34", region_channel_index: "0.770", expected_units: "31.83", demand_noise: "0.997", units: "32", unit_price: "89.00", revenue: "2848.00", cost: "1664.00", margin: "1184.00" },
            { month_id: 2, product_id: 6, region_id: 3, channel_id: 3, promotion: "seasonal sale", product_month_index: "33.06", region_channel_index: "0.385", expected_units: "12.73", demand_noise: "1.032", units: "13", unit_price: "25.20", revenue: "327.60", cost: "247.00", margin: "80.60" },
            { month_id: 22, product_id: 5, region_id: 2, channel_id: 3, promotion: "seasonal sale", product_month_index: "27.87", region_channel_index: "0.468", expected_units: "13.04", demand_noise: "1.048", units: "14", unit_price: "92.88", revenue: "1300.32", cost: "1092.00", margin: "208.32" },
            { month_id: 1, product_id: 6, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "30.00", region_channel_index: "0.680", expected_units: "20.40", demand_noise: "1.029", units: "21", unit_price: "35.00", revenue: "735.00", cost: "399.00", margin: "336.00" },
            { month_id: 4, product_id: 5, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "31.62", region_channel_index: "0.385", expected_units: "12.17", demand_noise: "1.054", units: "13", unit_price: "92.88", revenue: "1207.44", cost: "1014.00", margin: "193.44" },
            { month_id: 3, product_id: 6, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "35.40", region_channel_index: "0.550", expected_units: "19.47", demand_noise: "1.045", units: "20", unit_price: "25.20", revenue: "504.00", cost: "380.00", margin: "124.00" },
            { month_id: 23, product_id: 1, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "37.67", region_channel_index: "0.550", expected_units: "20.72", demand_noise: "1.042", units: "22", unit_price: "64.08", revenue: "1409.76", cost: "1144.00", margin: "265.76" },
            { month_id: 13, product_id: 4, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "91.52", region_channel_index: "0.280", expected_units: "25.63", demand_noise: "1.019", units: "26", unit_price: "19.00", revenue: "494.00", cost: "195.00", margin: "299.00" },
            { month_id: 19, product_id: 1, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "41.34", region_channel_index: "0.385", expected_units: "15.92", demand_noise: "0.988", units: "16", unit_price: "64.08", revenue: "1025.28", cost: "832.00", margin: "193.28" },
            { month_id: 21, product_id: 4, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "86.72", region_channel_index: "0.935", expected_units: "81.08", demand_noise: "1.039", units: "84", unit_price: "19.00", revenue: "1596.00", cost: "630.00", margin: "966.00" },
            { month_id: 4, product_id: 3, region_id: 3, channel_id: 3, promotion: "seasonal sale", product_month_index: "58.37", region_channel_index: "0.385", expected_units: "22.47", demand_noise: "0.937", units: "21", unit_price: "20.16", revenue: "423.36", cost: "252.00", margin: "171.36" },
            { month_id: 7, product_id: 3, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "51.46", region_channel_index: "0.800", expected_units: "41.17", demand_noise: "0.958", units: "39", unit_price: "28.00", revenue: "1092.00", cost: "468.00", margin: "624.00" },
            { month_id: 7, product_id: 2, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "22.51", region_channel_index: "0.935", expected_units: "21.05", demand_noise: "1.022", units: "22", unit_price: "64.00", revenue: "1408.00", cost: "770.00", margin: "638.00" },
            { month_id: 2, product_id: 4, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "88.16", region_channel_index: "0.550", expected_units: "48.49", demand_noise: "0.970", units: "47", unit_price: "13.68", revenue: "642.96", cost: "352.50", margin: "290.46" },
            { month_id: 14, product_id: 6, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "37.38", region_channel_index: "0.193", expected_units: "7.21", demand_noise: "0.984", units: "7", unit_price: "25.20", revenue: "176.40", cost: "133.00", margin: "43.40" },
            { month_id: 16, product_id: 6, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "40.80", region_channel_index: "0.550", expected_units: "22.44", demand_noise: "1.042", units: "23", unit_price: "25.20", revenue: "579.60", cost: "437.00", margin: "142.60" },
            { month_id: 6, product_id: 2, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "24.15", region_channel_index: "0.385", expected_units: "9.30", demand_noise: "1.066", units: "10", unit_price: "64.00", revenue: "640.00", cost: "350.00", margin: "290.00" },
            { month_id: 16, product_id: 6, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "40.80", region_channel_index: "0.468", expected_units: "19.09", demand_noise: "1.013", units: "19", unit_price: "25.20", revenue: "478.80", cost: "361.00", margin: "117.80" },
            { month_id: 4, product_id: 5, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "31.62", region_channel_index: "0.800", expected_units: "25.30", demand_noise: "0.979", units: "25", unit_price: "129.00", revenue: "3225.00", cost: "1950.00", margin: "1275.00" },
            { month_id: 3, product_id: 6, region_id: 3, channel_id: 3, promotion: "seasonal sale", product_month_index: "35.40", region_channel_index: "0.385", expected_units: "13.63", demand_noise: "1.020", units: "14", unit_price: "25.20", revenue: "352.80", cost: "266.00", margin: "86.80" },
            { month_id: 24, product_id: 2, region_id: 4, channel_id: 3, promotion: "seasonal sale", product_month_index: "24.91", region_channel_index: "0.193", expected_units: "4.81", demand_noise: "1.069", units: "5", unit_price: "46.08", revenue: "230.40", cost: "175.00", margin: "55.40" },
            { month_id: 12, product_id: 4, region_id: 1, channel_id: 2, promotion: "clearance", product_month_index: "83.36", region_channel_index: "0.800", expected_units: "66.69", demand_noise: "1.037", units: "69", unit_price: "19.00", revenue: "1311.00", cost: "517.50", margin: "793.50" },
            { month_id: 24, product_id: 6, region_id: 1, channel_id: 1, promotion: "seasonal sale", product_month_index: "35.58", region_channel_index: "1.100", expected_units: "39.14", demand_noise: "0.895", units: "35", unit_price: "35.00", revenue: "1225.00", cost: "665.00", margin: "560.00" },
            { month_id: 19, product_id: 4, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "97.28", region_channel_index: "1.100", expected_units: "107.01", demand_noise: "0.995", units: "106", unit_price: "19.00", revenue: "2014.00", cost: "795.00", margin: "1219.00" },
            { month_id: 22, product_id: 2, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "22.51", region_channel_index: "0.550", expected_units: "12.38", demand_noise: "1.013", units: "13", unit_price: "46.08", revenue: "599.04", cost: "455.00", margin: "144.04" },
            { month_id: 17, product_id: 3, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "64.70", region_channel_index: "0.800", expected_units: "51.76", demand_noise: "0.977", units: "51", unit_price: "28.00", revenue: "1428.00", cost: "612.00", margin: "816.00" },
            { month_id: 1, product_id: 6, region_id: 4, channel_id: 2, promotion: "seasonal sale", product_month_index: "30.00", region_channel_index: "0.280", expected_units: "8.40", demand_noise: "0.971", units: "8", unit_price: "35.00", revenue: "280.00", cost: "152.00", margin: "128.00" },
            { month_id: 6, product_id: 4, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "92.00", region_channel_index: "0.280", expected_units: "25.76", demand_noise: "1.020", units: "26", unit_price: "19.00", revenue: "494.00", cost: "195.00", margin: "299.00" },
            { month_id: 14, product_id: 6, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "37.38", region_channel_index: "1.100", expected_units: "41.12", demand_noise: "1.031", units: "42", unit_price: "35.00", revenue: "1470.00", cost: "798.00", margin: "672.00" },
            { month_id: 8, product_id: 2, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "20.87", region_channel_index: "0.385", expected_units: "8.03", demand_noise: "1.080", units: "9", unit_price: "46.08", revenue: "414.72", cost: "315.00", margin: "99.72" },
            { month_id: 10, product_id: 6, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "27.84", region_channel_index: "1.100", expected_units: "30.62", demand_noise: "1.039", units: "32", unit_price: "35.00", revenue: "1120.00", cost: "608.00", margin: "512.00" },
            { month_id: 22, product_id: 1, region_id: 3, channel_id: 2, promotion: "seasonal sale", product_month_index: "36.45", region_channel_index: "0.560", expected_units: "20.41", demand_noise: "0.983", units: "20", unit_price: "89.00", revenue: "1780.00", cost: "1040.00", margin: "740.00" },
            { month_id: 20, product_id: 4, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "91.04", region_channel_index: "0.468", expected_units: "42.61", demand_noise: "1.046", units: "45", unit_price: "13.68", revenue: "615.60", cost: "337.50", margin: "278.10" },
            { month_id: 17, product_id: 3, region_id: 4, channel_id: 2, promotion: "clearance", product_month_index: "64.70", region_channel_index: "0.280", expected_units: "18.12", demand_noise: "0.998", units: "18", unit_price: "28.00", revenue: "504.00", cost: "216.00", margin: "288.00" },
            { month_id: 22, product_id: 1, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "36.45", region_channel_index: "0.680", expected_units: "24.79", demand_noise: "0.995", units: "25", unit_price: "89.00", revenue: "2225.00", cost: "1300.00", margin: "925.00" },
            { month_id: 12, product_id: 5, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "27.09", region_channel_index: "0.385", expected_units: "10.43", demand_noise: "1.039", units: "11", unit_price: "129.00", revenue: "1419.00", cost: "858.00", margin: "561.00" },
            { month_id: 15, product_id: 6, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "39.72", region_channel_index: "0.800", expected_units: "31.78", demand_noise: "1.025", units: "33", unit_price: "35.00", revenue: "1155.00", cost: "627.00", margin: "528.00" },
            { month_id: 19, product_id: 2, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "25.54", region_channel_index: "0.385", expected_units: "9.83", demand_noise: "0.921", units: "9", unit_price: "46.08", revenue: "414.72", cost: "315.00", margin: "99.72" },
            { month_id: 6, product_id: 3, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "55.20", region_channel_index: "0.560", expected_units: "30.91", demand_noise: "1.014", units: "31", unit_price: "28.00", revenue: "868.00", cost: "372.00", margin: "496.00" },
            { month_id: 3, product_id: 1, region_id: 2, channel_id: 1, promotion: "seasonal sale", product_month_index: "40.12", region_channel_index: "0.935", expected_units: "37.51", demand_noise: "0.964", units: "36", unit_price: "89.00", revenue: "3204.00", cost: "1872.00", margin: "1332.00" },
            { month_id: 6, product_id: 2, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "24.15", region_channel_index: "0.770", expected_units: "18.60", demand_noise: "1.059", units: "20", unit_price: "64.00", revenue: "1280.00", cost: "700.00", margin: "580.00" },
            { month_id: 19, product_id: 5, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "31.62", region_channel_index: "0.468", expected_units: "14.80", demand_noise: "0.957", units: "14", unit_price: "92.88", revenue: "1300.32", cost: "1092.00", margin: "208.32" },
            { month_id: 17, product_id: 3, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "64.70", region_channel_index: "0.193", expected_units: "12.49", demand_noise: "0.915", units: "11", unit_price: "20.16", revenue: "221.76", cost: "132.00", margin: "89.76" },
            { month_id: 6, product_id: 6, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "34.50", region_channel_index: "0.560", expected_units: "19.32", demand_noise: "1.055", units: "20", unit_price: "35.00", revenue: "700.00", cost: "380.00", margin: "320.00" },
            { month_id: 19, product_id: 3, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "58.37", region_channel_index: "0.385", expected_units: "22.47", demand_noise: "0.942", units: "21", unit_price: "20.16", revenue: "423.36", cost: "252.00", margin: "171.36" },
            { month_id: 5, product_id: 6, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "36.12", region_channel_index: "0.193", expected_units: "6.97", demand_noise: "0.951", units: "7", unit_price: "25.20", revenue: "176.40", cost: "133.00", margin: "43.40" },
            { month_id: 10, product_id: 4, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "74.24", region_channel_index: "0.280", expected_units: "20.79", demand_noise: "1.028", units: "21", unit_price: "19.00", revenue: "399.00", cost: "157.50", margin: "241.50" },
            { month_id: 3, product_id: 1, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "40.12", region_channel_index: "0.385", expected_units: "15.45", demand_noise: "0.902", units: "14", unit_price: "64.08", revenue: "897.12", cost: "728.00", margin: "169.12" },
            { month_id: 17, product_id: 5, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "35.05", region_channel_index: "0.280", expected_units: "9.81", demand_noise: "0.967", units: "9", unit_price: "129.00", revenue: "1161.00", cost: "702.00", margin: "459.00" },
            { month_id: 1, product_id: 3, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "48.00", region_channel_index: "0.550", expected_units: "26.40", demand_noise: "1.021", units: "27", unit_price: "20.16", revenue: "544.32", cost: "324.00", margin: "220.32" },
            { month_id: 22, product_id: 5, region_id: 2, channel_id: 1, promotion: "seasonal sale", product_month_index: "27.87", region_channel_index: "0.935", expected_units: "26.06", demand_noise: "1.023", units: "27", unit_price: "129.00", revenue: "3483.00", cost: "2106.00", margin: "1377.00" },
            { month_id: 2, product_id: 5, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "28.65", region_channel_index: "0.385", expected_units: "11.03", demand_noise: "1.042", units: "11", unit_price: "92.88", revenue: "1021.68", cost: "858.00", margin: "163.68" },
            { month_id: 23, product_id: 6, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "33.24", region_channel_index: "0.770", expected_units: "25.59", demand_noise: "1.051", units: "27", unit_price: "35.00", revenue: "945.00", cost: "513.00", margin: "432.00" },
            { month_id: 17, product_id: 4, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "107.84", region_channel_index: "0.385", expected_units: "41.52", demand_noise: "0.994", units: "41", unit_price: "13.68", revenue: "560.88", cost: "307.50", margin: "253.38" },
            { month_id: 5, product_id: 6, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "36.12", region_channel_index: "0.680", expected_units: "24.56", demand_noise: "0.995", units: "24", unit_price: "35.00", revenue: "840.00", cost: "456.00", margin: "384.00" },
            { month_id: 9, product_id: 3, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "45.12", region_channel_index: "0.550", expected_units: "24.82", demand_noise: "1.006", units: "25", unit_price: "20.16", revenue: "504.00", cost: "300.00", margin: "204.00" },
            { month_id: 11, product_id: 4, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "77.12", region_channel_index: "0.560", expected_units: "43.19", demand_noise: "1.002", units: "43", unit_price: "19.00", revenue: "817.00", cost: "322.50", margin: "494.50" },
            { month_id: 22, product_id: 1, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "36.45", region_channel_index: "0.468", expected_units: "17.06", demand_noise: "0.979", units: "17", unit_price: "64.08", revenue: "1089.36", cost: "884.00", margin: "205.36" },
            { month_id: 2, product_id: 5, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "28.65", region_channel_index: "0.550", expected_units: "15.76", demand_noise: "1.001", units: "16", unit_price: "92.88", revenue: "1486.08", cost: "1248.00", margin: "238.08" },
            { month_id: 11, product_id: 2, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "20.24", region_channel_index: "0.280", expected_units: "5.67", demand_noise: "0.986", units: "6", unit_price: "64.00", revenue: "384.00", cost: "210.00", margin: "174.00" },
            { month_id: 21, product_id: 5, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "28.18", region_channel_index: "0.680", expected_units: "19.16", demand_noise: "0.985", units: "19", unit_price: "129.00", revenue: "2451.00", cost: "1482.00", margin: "969.00" },
            { month_id: 12, product_id: 4, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "83.36", region_channel_index: "0.770", expected_units: "64.19", demand_noise: "1.026", units: "66", unit_price: "19.00", revenue: "1254.00", cost: "495.00", margin: "759.00" },
            { month_id: 1, product_id: 2, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "21.00", region_channel_index: "0.468", expected_units: "9.83", demand_noise: "0.996", units: "10", unit_price: "46.08", revenue: "460.80", cost: "350.00", margin: "110.80" },
            { month_id: 19, product_id: 5, region_id: 1, channel_id: 3, promotion: "seasonal sale", product_month_index: "31.62", region_channel_index: "0.550", expected_units: "17.39", demand_noise: "0.976", units: "17", unit_price: "92.88", revenue: "1578.96", cost: "1326.00", margin: "252.96" },
            { month_id: 17, product_id: 6, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "40.44", region_channel_index: "0.385", expected_units: "15.57", demand_noise: "0.994", units: "15", unit_price: "25.20", revenue: "378.00", cost: "285.00", margin: "93.00" },
            { month_id: 7, product_id: 2, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "22.51", region_channel_index: "0.385", expected_units: "8.67", demand_noise: "0.997", units: "9", unit_price: "46.08", revenue: "414.72", cost: "315.00", margin: "99.72" },
            { month_id: 19, product_id: 5, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "31.62", region_channel_index: "1.100", expected_units: "34.78", demand_noise: "1.076", units: "37", unit_price: "129.00", revenue: "4773.00", cost: "2886.00", margin: "1887.00" },
            { month_id: 7, product_id: 6, region_id: 4, channel_id: 3, promotion: "seasonal sale", product_month_index: "32.16", region_channel_index: "0.193", expected_units: "6.21", demand_noise: "0.984", units: "6", unit_price: "25.20", revenue: "151.20", cost: "114.00", margin: "37.20" },
            { month_id: 19, product_id: 3, region_id: 3, channel_id: 1, promotion: "clearance", product_month_index: "58.37", region_channel_index: "0.770", expected_units: "44.94", demand_noise: "0.949", units: "43", unit_price: "28.00", revenue: "1204.00", cost: "516.00", margin: "688.00" },
            { month_id: 2, product_id: 2, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "23.14", region_channel_index: "0.770", expected_units: "17.82", demand_noise: "1.010", units: "18", unit_price: "64.00", revenue: "1152.00", cost: "630.00", margin: "522.00" },
            { month_id: 20, product_id: 1, region_id: 2, channel_id: 3, promotion: "seasonal sale", product_month_index: "38.69", region_channel_index: "0.468", expected_units: "18.11", demand_noise: "0.942", units: "17", unit_price: "64.08", revenue: "1089.36", cost: "884.00", margin: "205.36" },
            { month_id: 14, product_id: 1, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "42.36", region_channel_index: "1.100", expected_units: "46.60", demand_noise: "1.005", units: "47", unit_price: "89.00", revenue: "4183.00", cost: "2444.00", margin: "1739.00" },
            { month_id: 19, product_id: 6, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "36.48", region_channel_index: "0.550", expected_units: "20.06", demand_noise: "1.013", units: "20", unit_price: "25.20", revenue: "504.00", cost: "380.00", margin: "124.00" },
            { month_id: 7, product_id: 4, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "85.76", region_channel_index: "0.680", expected_units: "58.32", demand_noise: "0.952", units: "56", unit_price: "19.00", revenue: "1064.00", cost: "420.00", margin: "644.00" },
            { month_id: 20, product_id: 1, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "38.69", region_channel_index: "0.770", expected_units: "29.79", demand_noise: "0.990", units: "29", unit_price: "89.00", revenue: "2581.00", cost: "1508.00", margin: "1073.00" },
            { month_id: 4, product_id: 1, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "41.34", region_channel_index: "0.385", expected_units: "15.92", demand_noise: "0.983", units: "16", unit_price: "64.08", revenue: "1025.28", cost: "832.00", margin: "193.28" },
            { month_id: 2, product_id: 3, region_id: 4, channel_id: 2, promotion: "clearance", product_month_index: "52.90", region_channel_index: "0.280", expected_units: "14.81", demand_noise: "0.968", units: "14", unit_price: "28.00", revenue: "392.00", cost: "168.00", margin: "224.00" },
            { month_id: 3, product_id: 5, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "30.68", region_channel_index: "0.770", expected_units: "23.62", demand_noise: "0.976", units: "23", unit_price: "129.00", revenue: "2967.00", cost: "1794.00", margin: "1173.00" },
            { month_id: 4, product_id: 6, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "36.48", region_channel_index: "0.385", expected_units: "14.04", demand_noise: "0.992", units: "14", unit_price: "35.00", revenue: "490.00", cost: "266.00", margin: "224.00" },
            { month_id: 6, product_id: 1, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "39.10", region_channel_index: "0.770", expected_units: "30.11", demand_noise: "1.010", units: "30", unit_price: "89.00", revenue: "2670.00", cost: "1560.00", margin: "1110.00" },
            { month_id: 3, product_id: 4, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "94.40", region_channel_index: "0.193", expected_units: "18.22", demand_noise: "1.058", units: "19", unit_price: "13.68", revenue: "259.92", cost: "142.50", margin: "117.42" },
            { month_id: 17, product_id: 6, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "40.44", region_channel_index: "1.100", expected_units: "44.48", demand_noise: "1.012", units: "45", unit_price: "35.00", revenue: "1575.00", cost: "855.00", margin: "720.00" },
            { month_id: 17, product_id: 1, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "45.83", region_channel_index: "0.385", expected_units: "17.64", demand_noise: "1.024", units: "18", unit_price: "89.00", revenue: "1602.00", cost: "936.00", margin: "666.00" },
            { month_id: 6, product_id: 6, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "34.50", region_channel_index: "0.468", expected_units: "16.15", demand_noise: "0.948", units: "15", unit_price: "25.20", revenue: "378.00", cost: "285.00", margin: "93.00" },
            { month_id: 9, product_id: 6, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "28.20", region_channel_index: "0.800", expected_units: "22.56", demand_noise: "0.988", units: "22", unit_price: "35.00", revenue: "770.00", cost: "418.00", margin: "352.00" },
            { month_id: 13, product_id: 1, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "38.90", region_channel_index: "0.800", expected_units: "31.12", demand_noise: "1.014", units: "32", unit_price: "89.00", revenue: "2848.00", cost: "1664.00", margin: "1184.00" },
            { month_id: 10, product_id: 2, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "19.49", region_channel_index: "0.193", expected_units: "3.76", demand_noise: "1.026", units: "4", unit_price: "46.08", revenue: "184.32", cost: "140.00", margin: "44.32" },
            { month_id: 6, product_id: 4, region_id: 3, channel_id: 3, promotion: "seasonal sale", product_month_index: "92.00", region_channel_index: "0.385", expected_units: "35.42", demand_noise: "0.934", units: "33", unit_price: "13.68", revenue: "451.44", cost: "247.50", margin: "203.94" },
            { month_id: 9, product_id: 1, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "31.96", region_channel_index: "0.560", expected_units: "17.90", demand_noise: "1.032", units: "18", unit_price: "89.00", revenue: "1602.00", cost: "936.00", margin: "666.00" },
            { month_id: 8, product_id: 1, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "33.80", region_channel_index: "0.468", expected_units: "15.82", demand_noise: "0.986", units: "16", unit_price: "64.08", revenue: "1025.28", cost: "832.00", margin: "193.28" },
            { month_id: 3, product_id: 5, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "30.68", region_channel_index: "0.385", expected_units: "11.81", demand_noise: "1.026", units: "12", unit_price: "92.88", revenue: "1114.56", cost: "936.00", margin: "178.56" },
            { month_id: 12, product_id: 6, region_id: 2, channel_id: 3, promotion: "seasonal sale", product_month_index: "31.26", region_channel_index: "0.468", expected_units: "14.63", demand_noise: "0.980", units: "14", unit_price: "25.20", revenue: "352.80", cost: "266.00", margin: "86.80" },
            { month_id: 24, product_id: 1, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "40.32", region_channel_index: "0.800", expected_units: "32.26", demand_noise: "0.978", units: "32", unit_price: "89.00", revenue: "2848.00", cost: "1664.00", margin: "1184.00" },
            { month_id: 18, product_id: 5, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "33.64", region_channel_index: "0.193", expected_units: "6.49", demand_noise: "0.959", units: "6", unit_price: "92.88", revenue: "557.28", cost: "468.00", margin: "89.28" },
            { month_id: 5, product_id: 2, region_id: 1, channel_id: 2, promotion: "seasonal sale", product_month_index: "25.28", region_channel_index: "0.800", expected_units: "20.22", demand_noise: "1.013", units: "20", unit_price: "64.00", revenue: "1280.00", cost: "700.00", margin: "580.00" },
            { month_id: 23, product_id: 2, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "23.27", region_channel_index: "0.193", expected_units: "4.49", demand_noise: "0.961", units: "4", unit_price: "46.08", revenue: "184.32", cost: "140.00", margin: "44.32" },
            { month_id: 14, product_id: 3, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "59.81", region_channel_index: "0.935", expected_units: "55.92", demand_noise: "1.060", units: "59", unit_price: "28.00", revenue: "1652.00", cost: "708.00", margin: "944.00" },
            { month_id: 19, product_id: 6, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "36.48", region_channel_index: "0.560", expected_units: "20.43", demand_noise: "0.989", units: "20", unit_price: "35.00", revenue: "700.00", cost: "380.00", margin: "320.00" },
            { month_id: 10, product_id: 4, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "74.24", region_channel_index: "0.550", expected_units: "40.83", demand_noise: "0.997", units: "41", unit_price: "13.68", revenue: "560.88", cost: "307.50", margin: "253.38" },
            { month_id: 22, product_id: 2, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "22.51", region_channel_index: "0.800", expected_units: "18.01", demand_noise: "0.951", units: "17", unit_price: "64.00", revenue: "1088.00", cost: "595.00", margin: "493.00" },
            { month_id: 12, product_id: 4, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "83.36", region_channel_index: "0.280", expected_units: "23.34", demand_noise: "0.974", units: "23", unit_price: "19.00", revenue: "437.00", cost: "172.50", margin: "264.50" },
            { month_id: 24, product_id: 6, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "35.58", region_channel_index: "0.468", expected_units: "16.65", demand_noise: "1.050", units: "17", unit_price: "25.20", revenue: "428.40", cost: "323.00", margin: "105.40" },
            { month_id: 19, product_id: 3, region_id: 4, channel_id: 3, promotion: "seasonal sale", product_month_index: "58.37", region_channel_index: "0.193", expected_units: "11.27", demand_noise: "1.052", units: "12", unit_price: "20.16", revenue: "241.92", cost: "144.00", margin: "97.92" },
            { month_id: 22, product_id: 2, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "22.51", region_channel_index: "0.770", expected_units: "17.33", demand_noise: "1.052", units: "18", unit_price: "64.00", revenue: "1152.00", cost: "630.00", margin: "522.00" },
            { month_id: 11, product_id: 4, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "77.12", region_channel_index: "0.800", expected_units: "61.70", demand_noise: "0.977", units: "60", unit_price: "19.00", revenue: "1140.00", cost: "450.00", margin: "690.00" },
            { month_id: 16, product_id: 2, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "28.56", region_channel_index: "0.550", expected_units: "15.71", demand_noise: "1.058", units: "17", unit_price: "46.08", revenue: "783.36", cost: "595.00", margin: "188.36" },
            { month_id: 18, product_id: 5, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "33.64", region_channel_index: "1.100", expected_units: "37.00", demand_noise: "0.930", units: "34", unit_price: "129.00", revenue: "4386.00", cost: "2652.00", margin: "1734.00" },
            { month_id: 20, product_id: 2, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "23.90", region_channel_index: "0.800", expected_units: "19.12", demand_noise: "1.103", units: "21", unit_price: "64.00", revenue: "1344.00", cost: "735.00", margin: "609.00" },
            { month_id: 11, product_id: 4, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "77.12", region_channel_index: "1.100", expected_units: "84.83", demand_noise: "0.957", units: "81", unit_price: "19.00", revenue: "1539.00", cost: "607.50", margin: "931.50" },
            { month_id: 2, product_id: 2, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "23.14", region_channel_index: "0.680", expected_units: "15.74", demand_noise: "0.991", units: "16", unit_price: "64.00", revenue: "1024.00", cost: "560.00", margin: "464.00" },
            { month_id: 5, product_id: 6, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "36.12", region_channel_index: "0.935", expected_units: "33.77", demand_noise: "0.921", units: "31", unit_price: "35.00", revenue: "1085.00", cost: "589.00", margin: "496.00" },
            { month_id: 24, product_id: 6, region_id: 2, channel_id: 1, promotion: "clearance", product_month_index: "35.58", region_channel_index: "0.935", expected_units: "33.27", demand_noise: "0.969", units: "32", unit_price: "35.00", revenue: "1120.00", cost: "608.00", margin: "512.00" },
            { month_id: 10, product_id: 4, region_id: 3, channel_id: 2, promotion: "seasonal sale", product_month_index: "74.24", region_channel_index: "0.560", expected_units: "41.57", demand_noise: "1.082", units: "45", unit_price: "19.00", revenue: "855.00", cost: "337.50", margin: "517.50" },
            { month_id: 3, product_id: 1, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "40.12", region_channel_index: "0.770", expected_units: "30.89", demand_noise: "0.961", units: "30", unit_price: "89.00", revenue: "2670.00", cost: "1560.00", margin: "1110.00" },
            { month_id: 2, product_id: 6, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "33.06", region_channel_index: "0.800", expected_units: "26.45", demand_noise: "0.986", units: "26", unit_price: "35.00", revenue: "910.00", cost: "494.00", margin: "416.00" },
            { month_id: 4, product_id: 4, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "97.28", region_channel_index: "0.550", expected_units: "53.50", demand_noise: "1.002", units: "54", unit_price: "13.68", revenue: "738.72", cost: "405.00", margin: "333.72" },
            { month_id: 12, product_id: 6, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "31.26", region_channel_index: "0.550", expected_units: "17.19", demand_noise: "1.031", units: "18", unit_price: "25.20", revenue: "453.60", cost: "342.00", margin: "111.60" },
            { month_id: 23, product_id: 2, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "23.27", region_channel_index: "0.680", expected_units: "15.82", demand_noise: "1.032", units: "16", unit_price: "64.00", revenue: "1024.00", cost: "560.00", margin: "464.00" },
            { month_id: 9, product_id: 2, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "19.74", region_channel_index: "0.385", expected_units: "7.60", demand_noise: "1.063", units: "8", unit_price: "64.00", revenue: "512.00", cost: "280.00", margin: "232.00" },
            { month_id: 24, product_id: 3, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "56.93", region_channel_index: "0.560", expected_units: "31.88", demand_noise: "0.989", units: "32", unit_price: "28.00", revenue: "896.00", cost: "384.00", margin: "512.00" },
            { month_id: 7, product_id: 6, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "32.16", region_channel_index: "0.680", expected_units: "21.87", demand_noise: "1.029", units: "23", unit_price: "35.00", revenue: "805.00", cost: "437.00", margin: "368.00" },
            { month_id: 20, product_id: 1, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "38.69", region_channel_index: "1.100", expected_units: "42.56", demand_noise: "0.991", units: "42", unit_price: "89.00", revenue: "3738.00", cost: "2184.00", margin: "1554.00" },
            { month_id: 3, product_id: 5, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "30.68", region_channel_index: "0.468", expected_units: "14.36", demand_noise: "1.020", units: "15", unit_price: "92.88", revenue: "1393.20", cost: "1170.00", margin: "223.20" },
            { month_id: 21, product_id: 3, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "52.03", region_channel_index: "0.193", expected_units: "10.04", demand_noise: "0.967", units: "10", unit_price: "20.16", revenue: "201.60", cost: "120.00", margin: "81.60" },
            { month_id: 17, product_id: 6, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "40.44", region_channel_index: "0.193", expected_units: "7.80", demand_noise: "1.042", units: "8", unit_price: "25.20", revenue: "201.60", cost: "152.00", margin: "49.60" },
            { month_id: 21, product_id: 2, region_id: 4, channel_id: 1, promotion: "seasonal sale", product_month_index: "22.76", region_channel_index: "0.385", expected_units: "8.76", demand_noise: "0.977", units: "9", unit_price: "64.00", revenue: "576.00", cost: "315.00", margin: "261.00" },
            { month_id: 4, product_id: 3, region_id: 4, channel_id: 1, promotion: "seasonal sale", product_month_index: "58.37", region_channel_index: "0.385", expected_units: "22.47", demand_noise: "0.982", units: "22", unit_price: "28.00", revenue: "616.00", cost: "264.00", margin: "352.00" },
            { month_id: 8, product_id: 3, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "47.71", region_channel_index: "0.935", expected_units: "44.61", demand_noise: "0.995", units: "44", unit_price: "28.00", revenue: "1232.00", cost: "528.00", margin: "704.00" },
            { month_id: 10, product_id: 3, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "44.54", region_channel_index: "0.385", expected_units: "17.15", demand_noise: "0.927", units: "16", unit_price: "20.16", revenue: "322.56", cost: "192.00", margin: "130.56" },
            { month_id: 19, product_id: 3, region_id: 2, channel_id: 2, promotion: "seasonal sale", product_month_index: "58.37", region_channel_index: "0.680", expected_units: "39.69", demand_noise: "1.017", units: "40", unit_price: "28.00", revenue: "1120.00", cost: "480.00", margin: "640.00" },
            { month_id: 13, product_id: 1, region_id: 2, channel_id: 1, promotion: "seasonal sale", product_month_index: "38.90", region_channel_index: "0.935", expected_units: "36.37", demand_noise: "0.936", units: "34", unit_price: "89.00", revenue: "3026.00", cost: "1768.00", margin: "1258.00" },
            { month_id: 2, product_id: 5, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "28.65", region_channel_index: "0.385", expected_units: "11.03", demand_noise: "0.939", units: "10", unit_price: "129.00", revenue: "1290.00", cost: "780.00", margin: "510.00" },
            { month_id: 10, product_id: 1, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "31.55", region_channel_index: "0.770", expected_units: "24.29", demand_noise: "1.103", units: "27", unit_price: "89.00", revenue: "2403.00", cost: "1404.00", margin: "999.00" },
            { month_id: 7, product_id: 3, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "51.46", region_channel_index: "0.560", expected_units: "28.82", demand_noise: "1.019", units: "29", unit_price: "28.00", revenue: "812.00", cost: "348.00", margin: "464.00" },
            { month_id: 20, product_id: 5, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "29.59", region_channel_index: "1.100", expected_units: "32.55", demand_noise: "0.999", units: "33", unit_price: "129.00", revenue: "4257.00", cost: "2574.00", margin: "1683.00" },
            { month_id: 23, product_id: 6, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "33.24", region_channel_index: "0.680", expected_units: "22.60", demand_noise: "1.059", units: "24", unit_price: "35.00", revenue: "840.00", cost: "456.00", margin: "384.00" },
            { month_id: 17, product_id: 1, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "45.83", region_channel_index: "0.770", expected_units: "35.29", demand_noise: "1.011", units: "36", unit_price: "89.00", revenue: "3204.00", cost: "1872.00", margin: "1332.00" },
            { month_id: 8, product_id: 2, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "20.87", region_channel_index: "0.770", expected_units: "16.07", demand_noise: "1.044", units: "17", unit_price: "64.00", revenue: "1088.00", cost: "595.00", margin: "493.00" },
            { month_id: 5, product_id: 2, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "25.28", region_channel_index: "0.550", expected_units: "13.90", demand_noise: "1.005", units: "14", unit_price: "46.08", revenue: "645.12", cost: "490.00", margin: "155.12" },
            { month_id: 2, product_id: 3, region_id: 3, channel_id: 3, promotion: "clearance", product_month_index: "52.90", region_channel_index: "0.385", expected_units: "20.37", demand_noise: "1.032", units: "21", unit_price: "20.16", revenue: "423.36", cost: "252.00", margin: "171.36" },
            { month_id: 8, product_id: 4, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "79.52", region_channel_index: "0.800", expected_units: "63.62", demand_noise: "0.960", units: "61", unit_price: "19.00", revenue: "1159.00", cost: "457.50", margin: "701.50" },
            { month_id: 19, product_id: 6, region_id: 3, channel_id: 1, promotion: "seasonal sale", product_month_index: "36.48", region_channel_index: "0.770", expected_units: "28.09", demand_noise: "0.997", units: "28", unit_price: "35.00", revenue: "980.00", cost: "532.00", margin: "448.00" },
            { month_id: 7, product_id: 6, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "32.16", region_channel_index: "0.560", expected_units: "18.01", demand_noise: "0.938", units: "17", unit_price: "35.00", revenue: "595.00", cost: "323.00", margin: "272.00" },
            { month_id: 13, product_id: 2, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "24.02", region_channel_index: "0.935", expected_units: "22.46", demand_noise: "1.017", units: "23", unit_price: "64.00", revenue: "1472.00", cost: "805.00", margin: "667.00" },
            { month_id: 6, product_id: 3, region_id: 2, channel_id: 2, promotion: "seasonal sale", product_month_index: "55.20", region_channel_index: "0.680", expected_units: "37.54", demand_noise: "0.974", units: "37", unit_price: "28.00", revenue: "1036.00", cost: "444.00", margin: "592.00" },
            { month_id: 6, product_id: 1, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "39.10", region_channel_index: "0.550", expected_units: "21.51", demand_noise: "0.965", units: "21", unit_price: "64.08", revenue: "1345.68", cost: "1092.00", margin: "253.68" },
            { month_id: 6, product_id: 6, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "34.50", region_channel_index: "1.100", expected_units: "37.95", demand_noise: "0.991", units: "38", unit_price: "35.00", revenue: "1330.00", cost: "722.00", margin: "608.00" },
            { month_id: 22, product_id: 2, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "22.51", region_channel_index: "1.100", expected_units: "24.76", demand_noise: "0.980", units: "24", unit_price: "64.00", revenue: "1536.00", cost: "840.00", margin: "696.00" },
            { month_id: 13, product_id: 3, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "54.91", region_channel_index: "0.385", expected_units: "21.14", demand_noise: "0.964", units: "20", unit_price: "28.00", revenue: "560.00", cost: "240.00", margin: "320.00" },
            { month_id: 15, product_id: 4, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "105.92", region_channel_index: "0.280", expected_units: "29.66", demand_noise: "1.043", units: "31", unit_price: "19.00", revenue: "589.00", cost: "232.50", margin: "356.50" },
            { month_id: 14, product_id: 2, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "26.17", region_channel_index: "0.385", expected_units: "10.08", demand_noise: "0.996", units: "10", unit_price: "64.00", revenue: "640.00", cost: "350.00", margin: "290.00" },
            { month_id: 4, product_id: 4, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "97.28", region_channel_index: "0.935", expected_units: "90.96", demand_noise: "1.004", units: "91", unit_price: "19.00", revenue: "1729.00", cost: "682.50", margin: "1046.50" },
            { month_id: 24, product_id: 6, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "35.58", region_channel_index: "0.770", expected_units: "27.40", demand_noise: "0.901", units: "25", unit_price: "35.00", revenue: "875.00", cost: "475.00", margin: "400.00" },
            { month_id: 3, product_id: 4, region_id: 1, channel_id: 2, promotion: "clearance", product_month_index: "94.40", region_channel_index: "0.800", expected_units: "75.52", demand_noise: "1.000", units: "76", unit_price: "19.00", revenue: "1444.00", cost: "570.00", margin: "874.00" },
            { month_id: 5, product_id: 6, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "36.12", region_channel_index: "1.100", expected_units: "39.73", demand_noise: "1.005", units: "40", unit_price: "35.00", revenue: "1400.00", cost: "760.00", margin: "640.00" },
            { month_id: 17, product_id: 3, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "64.70", region_channel_index: "0.935", expected_units: "60.49", demand_noise: "0.919", units: "56", unit_price: "28.00", revenue: "1568.00", cost: "672.00", margin: "896.00" },
            { month_id: 18, product_id: 5, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "33.64", region_channel_index: "0.550", expected_units: "18.50", demand_noise: "0.944", units: "17", unit_price: "92.88", revenue: "1578.96", cost: "1326.00", margin: "252.96" },
            { month_id: 23, product_id: 3, region_id: 4, channel_id: 2, promotion: "seasonal sale", product_month_index: "53.18", region_channel_index: "0.280", expected_units: "14.89", demand_noise: "1.023", units: "15", unit_price: "28.00", revenue: "420.00", cost: "180.00", margin: "240.00" },
            { month_id: 10, product_id: 5, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "24.13", region_channel_index: "0.550", expected_units: "13.27", demand_noise: "1.002", units: "13", unit_price: "92.88", revenue: "1207.44", cost: "1014.00", margin: "193.44" },
            { month_id: 5, product_id: 2, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "25.28", region_channel_index: "0.680", expected_units: "17.19", demand_noise: "0.946", units: "16", unit_price: "64.00", revenue: "1024.00", cost: "560.00", margin: "464.00" },
            { month_id: 13, product_id: 2, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "24.02", region_channel_index: "0.385", expected_units: "9.25", demand_noise: "1.069", units: "10", unit_price: "64.00", revenue: "640.00", cost: "350.00", margin: "290.00" },
            { month_id: 23, product_id: 3, region_id: 3, channel_id: 2, promotion: "seasonal sale", product_month_index: "53.18", region_channel_index: "0.560", expected_units: "29.78", demand_noise: "0.980", units: "29", unit_price: "28.00", revenue: "812.00", cost: "348.00", margin: "464.00" },
            { month_id: 4, product_id: 5, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "31.62", region_channel_index: "0.193", expected_units: "6.10", demand_noise: "0.985", units: "6", unit_price: "92.88", revenue: "557.28", cost: "468.00", margin: "89.28" },
            { month_id: 20, product_id: 3, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "54.62", region_channel_index: "0.770", expected_units: "42.06", demand_noise: "1.017", units: "43", unit_price: "28.00", revenue: "1204.00", cost: "516.00", margin: "688.00" },
            { month_id: 7, product_id: 4, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "85.76", region_channel_index: "0.800", expected_units: "68.61", demand_noise: "0.928", units: "64", unit_price: "19.00", revenue: "1216.00", cost: "480.00", margin: "736.00" },
            { month_id: 8, product_id: 4, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "79.52", region_channel_index: "1.100", expected_units: "87.47", demand_noise: "1.023", units: "89", unit_price: "19.00", revenue: "1691.00", cost: "667.50", margin: "1023.50" },
            { month_id: 14, product_id: 1, region_id: 1, channel_id: 2, promotion: "clearance", product_month_index: "42.36", region_channel_index: "0.800", expected_units: "33.89", demand_noise: "0.993", units: "34", unit_price: "89.00", revenue: "3026.00", cost: "1768.00", margin: "1258.00" },
            { month_id: 24, product_id: 2, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "24.91", region_channel_index: "0.385", expected_units: "9.59", demand_noise: "0.986", units: "9", unit_price: "64.00", revenue: "576.00", cost: "315.00", margin: "261.00" },
            { month_id: 9, product_id: 1, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "31.96", region_channel_index: "0.800", expected_units: "25.57", demand_noise: "1.057", units: "27", unit_price: "89.00", revenue: "2403.00", cost: "1404.00", margin: "999.00" },
            { month_id: 7, product_id: 1, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "36.45", region_channel_index: "0.468", expected_units: "17.06", demand_noise: "1.023", units: "17", unit_price: "64.08", revenue: "1089.36", cost: "884.00", margin: "205.36" },
            { month_id: 20, product_id: 4, region_id: 4, channel_id: 1, promotion: "seasonal sale", product_month_index: "91.04", region_channel_index: "0.385", expected_units: "35.05", demand_noise: "0.977", units: "34", unit_price: "19.00", revenue: "646.00", cost: "255.00", margin: "391.00" },
            { month_id: 11, product_id: 4, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "77.12", region_channel_index: "0.468", expected_units: "36.09", demand_noise: "1.034", units: "37", unit_price: "13.68", revenue: "506.16", cost: "277.50", margin: "228.66" },
            { month_id: 24, product_id: 2, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "24.91", region_channel_index: "0.550", expected_units: "13.70", demand_noise: "1.009", units: "14", unit_price: "46.08", revenue: "645.12", cost: "490.00", margin: "155.12" },
            { month_id: 18, product_id: 4, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "103.52", region_channel_index: "0.193", expected_units: "19.98", demand_noise: "1.031", units: "21", unit_price: "13.68", revenue: "287.28", cost: "157.50", margin: "129.78" },
            { month_id: 5, product_id: 5, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "31.30", region_channel_index: "1.100", expected_units: "34.43", demand_noise: "0.941", units: "32", unit_price: "129.00", revenue: "4128.00", cost: "2496.00", margin: "1632.00" },
            { month_id: 15, product_id: 3, region_id: 1, channel_id: 3, promotion: "clearance", product_month_index: "63.55", region_channel_index: "0.550", expected_units: "34.95", demand_noise: "0.957", units: "33", unit_price: "20.16", revenue: "665.28", cost: "396.00", margin: "269.28" },
            { month_id: 6, product_id: 5, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "29.90", region_channel_index: "0.550", expected_units: "16.45", demand_noise: "0.963", units: "16", unit_price: "92.88", revenue: "1486.08", cost: "1248.00", margin: "238.08" },
            { month_id: 7, product_id: 1, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "36.45", region_channel_index: "0.680", expected_units: "24.79", demand_noise: "1.091", units: "27", unit_price: "89.00", revenue: "2403.00", cost: "1404.00", margin: "999.00" },
            { month_id: 1, product_id: 6, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "30.00", region_channel_index: "0.770", expected_units: "23.10", demand_noise: "1.091", units: "25", unit_price: "35.00", revenue: "875.00", cost: "475.00", margin: "400.00" },
            { month_id: 20, product_id: 3, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "54.62", region_channel_index: "0.193", expected_units: "10.54", demand_noise: "1.060", units: "11", unit_price: "20.16", revenue: "221.76", cost: "132.00", margin: "89.76" },
            { month_id: 10, product_id: 6, region_id: 2, channel_id: 2, promotion: "clearance", product_month_index: "27.84", region_channel_index: "0.680", expected_units: "18.93", demand_noise: "1.012", units: "19", unit_price: "35.00", revenue: "665.00", cost: "361.00", margin: "304.00" },
            { month_id: 16, product_id: 5, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "35.36", region_channel_index: "0.193", expected_units: "6.82", demand_noise: "0.962", units: "7", unit_price: "92.88", revenue: "650.16", cost: "546.00", margin: "104.16" },
            { month_id: 21, product_id: 3, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "52.03", region_channel_index: "0.770", expected_units: "40.06", demand_noise: "1.035", units: "41", unit_price: "28.00", revenue: "1148.00", cost: "492.00", margin: "656.00" },
            { month_id: 6, product_id: 1, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "39.10", region_channel_index: "0.560", expected_units: "21.90", demand_noise: "0.946", units: "21", unit_price: "89.00", revenue: "1869.00", cost: "1092.00", margin: "777.00" },
            { month_id: 5, product_id: 6, region_id: 3, channel_id: 1, promotion: "seasonal sale", product_month_index: "36.12", region_channel_index: "0.770", expected_units: "27.81", demand_noise: "0.951", units: "26", unit_price: "35.00", revenue: "910.00", cost: "494.00", margin: "416.00" },
            { month_id: 12, product_id: 6, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "31.26", region_channel_index: "0.770", expected_units: "24.07", demand_noise: "0.950", units: "23", unit_price: "35.00", revenue: "805.00", cost: "437.00", margin: "368.00" },
            { month_id: 6, product_id: 3, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "55.20", region_channel_index: "0.468", expected_units: "25.83", demand_noise: "0.989", units: "26", unit_price: "20.16", revenue: "524.16", cost: "312.00", margin: "212.16" },
            { month_id: 3, product_id: 4, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "94.40", region_channel_index: "0.385", expected_units: "36.34", demand_noise: "1.025", units: "37", unit_price: "13.68", revenue: "506.16", cost: "277.50", margin: "228.66" },
            { month_id: 17, product_id: 2, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "28.31", region_channel_index: "0.550", expected_units: "15.57", demand_noise: "0.997", units: "16", unit_price: "46.08", revenue: "737.28", cost: "560.00", margin: "177.28" },
            { month_id: 21, product_id: 4, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "86.72", region_channel_index: "0.680", expected_units: "58.97", demand_noise: "0.999", units: "59", unit_price: "19.00", revenue: "1121.00", cost: "442.50", margin: "678.50" },
            { month_id: 11, product_id: 6, region_id: 1, channel_id: 1, promotion: "seasonal sale", product_month_index: "28.92", region_channel_index: "1.100", expected_units: "31.81", demand_noise: "0.975", units: "31", unit_price: "35.00", revenue: "1085.00", cost: "589.00", margin: "496.00" },
            { month_id: 21, product_id: 6, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "32.52", region_channel_index: "0.550", expected_units: "17.89", demand_noise: "0.974", units: "17", unit_price: "25.20", revenue: "428.40", cost: "323.00", margin: "105.40" },
            { month_id: 16, product_id: 6, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "40.80", region_channel_index: "0.280", expected_units: "11.42", demand_noise: "1.072", units: "12", unit_price: "35.00", revenue: "420.00", cost: "228.00", margin: "192.00" },
            { month_id: 21, product_id: 2, region_id: 3, channel_id: 1, promotion: "clearance", product_month_index: "22.76", region_channel_index: "0.770", expected_units: "17.53", demand_noise: "1.037", units: "18", unit_price: "64.00", revenue: "1152.00", cost: "630.00", margin: "522.00" },
            { month_id: 14, product_id: 2, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "26.17", region_channel_index: "0.560", expected_units: "14.66", demand_noise: "1.005", units: "15", unit_price: "64.00", revenue: "960.00", cost: "525.00", margin: "435.00" },
            { month_id: 8, product_id: 2, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "20.87", region_channel_index: "0.468", expected_units: "9.77", demand_noise: "0.998", units: "10", unit_price: "46.08", revenue: "460.80", cost: "350.00", margin: "110.80" },
            { month_id: 23, product_id: 3, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "53.18", region_channel_index: "0.550", expected_units: "29.25", demand_noise: "1.027", units: "30", unit_price: "20.16", revenue: "604.80", cost: "360.00", margin: "244.80" },
            { month_id: 16, product_id: 6, region_id: 3, channel_id: 2, promotion: "seasonal sale", product_month_index: "40.80", region_channel_index: "0.560", expected_units: "22.85", demand_noise: "1.000", units: "23", unit_price: "35.00", revenue: "805.00", cost: "437.00", margin: "368.00" },
            { month_id: 22, product_id: 3, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "51.46", region_channel_index: "0.550", expected_units: "28.30", demand_noise: "0.962", units: "27", unit_price: "20.16", revenue: "544.32", cost: "324.00", margin: "220.32" },
            { month_id: 4, product_id: 3, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "58.37", region_channel_index: "0.935", expected_units: "54.58", demand_noise: "1.032", units: "56", unit_price: "28.00", revenue: "1568.00", cost: "672.00", margin: "896.00" },
            { month_id: 22, product_id: 4, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "85.76", region_channel_index: "1.100", expected_units: "94.34", demand_noise: "1.059", units: "100", unit_price: "19.00", revenue: "1900.00", cost: "750.00", margin: "1150.00" },
            { month_id: 15, product_id: 5, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "34.42", region_channel_index: "0.770", expected_units: "26.50", demand_noise: "0.955", units: "25", unit_price: "129.00", revenue: "3225.00", cost: "1950.00", margin: "1275.00" },
            { month_id: 10, product_id: 5, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "24.13", region_channel_index: "0.280", expected_units: "6.76", demand_noise: "0.903", units: "6", unit_price: "129.00", revenue: "774.00", cost: "468.00", margin: "306.00" },
            { month_id: 8, product_id: 3, region_id: 4, channel_id: 2, promotion: "seasonal sale", product_month_index: "47.71", region_channel_index: "0.280", expected_units: "13.36", demand_noise: "1.130", units: "15", unit_price: "28.00", revenue: "420.00", cost: "180.00", margin: "240.00" },
            { month_id: 20, product_id: 5, region_id: 3, channel_id: 2, promotion: "clearance", product_month_index: "29.59", region_channel_index: "0.560", expected_units: "16.57", demand_noise: "1.003", units: "17", unit_price: "129.00", revenue: "2193.00", cost: "1326.00", margin: "867.00" },
            { month_id: 4, product_id: 3, region_id: 4, channel_id: 2, promotion: "none", product_month_index: "58.37", region_channel_index: "0.280", expected_units: "16.34", demand_noise: "1.038", units: "17", unit_price: "28.00", revenue: "476.00", cost: "204.00", margin: "272.00" },
            { month_id: 7, product_id: 3, region_id: 2, channel_id: 2, promotion: "none", product_month_index: "51.46", region_channel_index: "0.680", expected_units: "34.99", demand_noise: "1.009", units: "35", unit_price: "28.00", revenue: "980.00", cost: "420.00", margin: "560.00" },
            { month_id: 14, product_id: 5, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "32.40", region_channel_index: "0.385", expected_units: "12.47", demand_noise: "1.050", units: "13", unit_price: "129.00", revenue: "1677.00", cost: "1014.00", margin: "663.00" },
            { month_id: 23, product_id: 1, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "37.67", region_channel_index: "1.100", expected_units: "41.44", demand_noise: "1.005", units: "42", unit_price: "89.00", revenue: "3738.00", cost: "2184.00", margin: "1554.00" },
            { month_id: 12, product_id: 3, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "50.02", region_channel_index: "0.193", expected_units: "9.65", demand_noise: "1.013", units: "10", unit_price: "20.16", revenue: "201.60", cost: "120.00", margin: "81.60" },
            { month_id: 5, product_id: 3, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "57.79", region_channel_index: "0.385", expected_units: "22.25", demand_noise: "0.999", units: "22", unit_price: "20.16", revenue: "443.52", cost: "264.00", margin: "179.52" },
            { month_id: 16, product_id: 1, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "46.24", region_channel_index: "0.800", expected_units: "36.99", demand_noise: "1.069", units: "40", unit_price: "89.00", revenue: "3560.00", cost: "2080.00", margin: "1480.00" },
            { month_id: 3, product_id: 4, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "94.40", region_channel_index: "0.550", expected_units: "51.92", demand_noise: "0.966", units: "50", unit_price: "13.68", revenue: "684.00", cost: "375.00", margin: "309.00" },
            { month_id: 5, product_id: 2, region_id: 2, channel_id: 3, promotion: "none", product_month_index: "25.28", region_channel_index: "0.468", expected_units: "11.83", demand_noise: "1.034", units: "12", unit_price: "46.08", revenue: "552.96", cost: "420.00", margin: "132.96" },
            { month_id: 24, product_id: 5, region_id: 3, channel_id: 3, promotion: "clearance", product_month_index: "30.84", region_channel_index: "0.385", expected_units: "11.87", demand_noise: "0.932", units: "11", unit_price: "92.88", revenue: "1021.68", cost: "858.00", margin: "163.68" },
            { month_id: 6, product_id: 2, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "24.15", region_channel_index: "0.800", expected_units: "19.32", demand_noise: "0.982", units: "19", unit_price: "64.00", revenue: "1216.00", cost: "665.00", margin: "551.00" },
            { month_id: 16, product_id: 2, region_id: 1, channel_id: 2, promotion: "seasonal sale", product_month_index: "28.56", region_channel_index: "0.800", expected_units: "22.85", demand_noise: "0.980", units: "22", unit_price: "64.00", revenue: "1408.00", cost: "770.00", margin: "638.00" },
            { month_id: 4, product_id: 2, region_id: 1, channel_id: 2, promotion: "seasonal sale", product_month_index: "25.54", region_channel_index: "0.800", expected_units: "20.43", demand_noise: "1.041", units: "21", unit_price: "64.00", revenue: "1344.00", cost: "735.00", margin: "609.00" },
            { month_id: 1, product_id: 4, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "80.00", region_channel_index: "1.100", expected_units: "88.00", demand_noise: "0.961", units: "85", unit_price: "19.00", revenue: "1615.00", cost: "637.50", margin: "977.50" },
            { month_id: 16, product_id: 5, region_id: 4, channel_id: 1, promotion: "none", product_month_index: "35.36", region_channel_index: "0.385", expected_units: "13.61", demand_noise: "0.970", units: "13", unit_price: "129.00", revenue: "1677.00", cost: "1014.00", margin: "663.00" },
            { month_id: 19, product_id: 2, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "25.54", region_channel_index: "0.770", expected_units: "19.67", demand_noise: "1.057", units: "21", unit_price: "64.00", revenue: "1344.00", cost: "735.00", margin: "609.00" },
            { month_id: 12, product_id: 5, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "27.09", region_channel_index: "0.385", expected_units: "10.43", demand_noise: "1.000", units: "10", unit_price: "92.88", revenue: "928.80", cost: "780.00", margin: "148.80" },
            { month_id: 6, product_id: 3, region_id: 4, channel_id: 3, promotion: "none", product_month_index: "55.20", region_channel_index: "0.193", expected_units: "10.65", demand_noise: "1.020", units: "11", unit_price: "20.16", revenue: "221.76", cost: "132.00", margin: "89.76" },
            { month_id: 9, product_id: 6, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "28.20", region_channel_index: "0.770", expected_units: "21.71", demand_noise: "1.044", units: "23", unit_price: "35.00", revenue: "805.00", cost: "437.00", margin: "368.00" },
            { month_id: 13, product_id: 6, region_id: 1, channel_id: 3, promotion: "none", product_month_index: "34.32", region_channel_index: "0.550", expected_units: "18.88", demand_noise: "1.089", units: "21", unit_price: "25.20", revenue: "529.20", cost: "399.00", margin: "130.20" },
            { month_id: 4, product_id: 6, region_id: 3, channel_id: 2, promotion: "none", product_month_index: "36.48", region_channel_index: "0.560", expected_units: "20.43", demand_noise: "1.039", units: "21", unit_price: "35.00", revenue: "735.00", cost: "399.00", margin: "336.00" },
            { month_id: 13, product_id: 4, region_id: 2, channel_id: 1, promotion: "none", product_month_index: "91.52", region_channel_index: "0.935", expected_units: "85.57", demand_noise: "1.013", units: "87", unit_price: "19.00", revenue: "1653.00", cost: "652.50", margin: "1000.50" },
            { month_id: 3, product_id: 2, region_id: 4, channel_id: 1, promotion: "seasonal sale", product_month_index: "24.78", region_channel_index: "0.385", expected_units: "9.54", demand_noise: "1.021", units: "10", unit_price: "64.00", revenue: "640.00", cost: "350.00", margin: "290.00" },
            { month_id: 16, product_id: 3, region_id: 3, channel_id: 3, promotion: "none", product_month_index: "65.28", region_channel_index: "0.385", expected_units: "25.13", demand_noise: "0.997", units: "25", unit_price: "20.16", revenue: "504.00", cost: "300.00", margin: "204.00" },
            { month_id: 10, product_id: 5, region_id: 1, channel_id: 2, promotion: "none", product_month_index: "24.13", region_channel_index: "0.800", expected_units: "19.30", demand_noise: "1.029", units: "20", unit_price: "129.00", revenue: "2580.00", cost: "1560.00", margin: "1020.00" },
            { month_id: 9, product_id: 3, region_id: 3, channel_id: 1, promotion: "none", product_month_index: "45.12", region_channel_index: "0.770", expected_units: "34.74", demand_noise: "1.062", units: "37", unit_price: "28.00", revenue: "1036.00", cost: "444.00", margin: "592.00" },
            { month_id: 14, product_id: 4, region_id: 1, channel_id: 1, promotion: "none", product_month_index: "99.68", region_channel_index: "1.100", expected_units: "109.65", demand_noise: "1.005", units: "110", unit_price: "19.00", revenue: "2090.00", cost: "825.00", margin: "1265.00" },
        ],
    });
}

main()
    .then(() => prisma.$disconnect())
    .catch(async error => {
        console.error(error);
        await prisma.$disconnect();
        process.exit(1);
    });