height = 400
width = 400
// X = thepoints.map(item => item.X);
// Y = thepoints.map(item => item.Y);
function generateBivariateDataset(
n = 100,
rho = 0.5, // Correlation coefficient
xMean = 50,
xStdDev = 20,
yMean = 100,
yStdDev = 20,
seed = 1337
) {
// Seeded random number generators for normal distributions
const rngX = d3.randomNormal.source(seedrandom(seed))(0, 1); // Standard normal for Zx
const rngY = d3.randomNormal.source(seedrandom(seed + 145))(0, 1); // Standard normal for Zy
// Seeded random number generator for color selection
const rngColor = d3.randomUniform.source(seedrandom(seed + 200))(0, 1); // Uniform [0, 1) for color
const colors = ["red", "blue"]; // Define possible color labels
// Generate dataset
const dataset = Array.from({ length: n }, () => {
const Zx = rngX(); // Independent standard normal for X
const Zy = rngY(); // Independent standard normal for Y
// Generate X and Y with specified correlation, without clamping
const X = xMean + xStdDev * Zx;
const Y = yMean + yStdDev * (rho * Zx + Math.sqrt(1 - rho ** 2) * Zy);
// Select color based on seeded uniform random number
const color = colors[Math.floor(rngColor() * colors.length)];
return {
X,
Y,
color
};
});
return dataset;
}
thepoints_alt = generateBivariateDataset(100, corr)
X = thepoints_alt.map(item => item.X);
Y = thepoints_alt.map(item => item.Y);
seedrandom = require("seedrandom")
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