Past exam of the mathematics course of the University of Cambridge 2020 ii Paper 4 5J b Solution Created 2026-09-24 Updated 2026-09-29
The intercept-only model has residual degrees of freedom, so the sample size is . The one-covariate model and full model therefore have respectively and residual degrees of freedom. The completed sequential analysis of variance table hasThus the missing sums of squares are and , and the corresponding F-statistics are approximately and . The first p-value is below ; the second is approximately . The tiny second increment is consistent with the reported t-test because, for one added coefficient, the partial F-statistic equals the squared t-statistic up to displayed rounding.