Question: Consider the logistic regression with one predictor such that the success probability is given by exp(o -4- 1Ti) = IP(Yi = 1 | Ti,)

Consider the logistic regression with one predictor such that the success probability

Consider the logistic regression with one predictor such that the success probability is given by exp(o -4- 1Ti) = IP(Yi = 1 | Ti,) where 13 (130, 131)' Recall that the likelihood function for this model is 11 (a) Show that the log-likelihood function can be written as E log(l + + + E + lTi). (b) Compute the gradient of the log-likelihood, VC( I y) 0/31

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