Reproducible synthetic linear data

Question

Generate a reproducible synthetic regression dataset with independent Gaussian features and independent Gaussian noise. Keep the RNG local to the function.

Short answer

Use an explicit local generator seeded by the caller. The signal and noise draws come from that generator, avoiding dependence on global RNG state. Record the data-generating assumptions when using the dataset for tests.

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Lessons behind this question

The Supervised Learning Problem and the ML Pipeline
Independence
The Normal Distribution

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