Question: Suppose y = 0 at x = 10, 20, 30, 40 and y = 1 at x = 60, 70, 80, 90. (a) WhatisthetrueMLestimate

Suppose y = 0 at x = 10, 20, 30, 40 and y = 1 at x = 60, 70, 80, 90.

(a) WhatisthetrueMLestimate ˆβ for logisticregression?Reporttheestimateandstandard error providedbyyoursoftware.Whyisthereportedstandarderrorsolarge?

(b) UseaBayesianmethodortheFirthpenalizedlikelihoodmethodtofitthemodel.Compare results toMLforpointandintervalestimates.

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