Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2023/iii/paper-207/4/d/iv/solution

The residual plot has two asymmetric clouds. Event residuals lie below the horizontal boundary , while censored residuals lie at or below . Because , fitted cumulative hazard contains the rapidly increasing multiplier ; individuals with large who remain event-free until censoring can therefore have very negative residuals. At small , events tend to lie near and censored observations near . The resulting scatter is wedge-shaped and increasingly spread toward negative values as grows, rather than homoscedastic or approximately normal.

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