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5.41 Let Y, be bin (n, 7;) at x;, and let p; = y;;. For binomial GLMs with logit link: a. For p, near 7, show that Pi Pi - TT; log = log 1 - Pi 1 - T; TT (1 - T;) b. Show that z," in (5.23) is a linearized version of the ith sample logit, evaluated at approximation 7. for #;. c. Verify the formula (5.20) for cov(B). cov(B) = (X' diag[n,#,(1 - #,)]x]-', (5.20) z90) = log + (5.23) 1 - ; n, T(1 - ,) )