 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2024/ib/paper-4/17h/b/solution

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

The centered model has residual sum of squares

\sum_{i} {Y_{i} - α^{'} - β^{'} (x_{i} - \overset{x}{ˉ})}^{2} .

\hat{β}^{'} = \frac{\sum _{i} ( x _{i} - x ˉ ) ( Y _{i} - Y ˉ )}{\sum _{i} ( x _{i} - x ˉ ) ^{2}} = \hat{β} .

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