This document walks through the detection of heteroskedasticity in a multivariate OLS regression using the mtcars dataset. We estimate a regression of fuel efficiency on horsepower, weight, and displacement, visually inspect residual plots, run White's test via bptest(), and manually replicate the test statistic using an auxiliary regression and a chi-squared test.

This interactive plot showing housing prices was created with plot_ly

This tutorial covers simulation from first principles: how R generates pseudo-random numbers, how to sample from the distributions that matter most in linguistics, how to assemble those draws into realistic datasets, and how to build the more advanced simulation workflows — fitting regression models for various distributions.

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