Solution
ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2024/ii/paper-1/13l/d/solution
Past exam of the mathematics course of the University of Cambridge 2024 ii Paper 1 13L d Solution by
Codex 0 Created 2026-09-24 Updated 2026-09-25
With a well-fitting Gaussian linear model, the residual-versus-fitted plot should be an unstructured horizontal band around zero with roughly constant width. The normal Q-Q plot should lie close to a straight line.
Here the residual spread grows with the fitted value and the response's discreteness produces pronounced bands, indicating nonconstant variance. The Q-Q plot bends strongly upward in the upper tail, indicating right-skewness or heavy positive tails and failure of Gaussian residuals. Thus both homoscedasticity and normality are doubtful.
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