 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2024/ii/paper-1/13l/e/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

Two natural improvements are:

fit a count-response GLM, initially a Poisson model with log link, or a negative-binomial model if the data are overdispersed;
allow nonlinear predictor effects, for example quadratic terms or smooth functions of weight and width, with model selection or validation used to control complexity.

The first addresses discreteness and mean-dependent variance; the second addresses systematic lack of fit in the conditional mean.

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