Math 327: The Purpose of the Link Function of a GLM - Mathematics Assignment Help

Assignment Task:

Task:

1. (3.1) Describe the purpose of the link function of a GLM. Define the identity link and explain why it is not often used with a binomial parameter.a. +.

2. (3.3) For flowing Table on x = mother’s alcohol consumption and Y = whether a baby has sex organ malformation, ML fitting of the linear probability model with x scores 0, 0.5, 1.5, 4.0, 7.0

3. An experiment analyzes imperfection rates for two processes used to fabricate silicon wafers for computer chips. For treatment applied to 10 wafers, the numbers of imperfections are 9, 5, 5, 6, 4, 4, 7, 1, 2, 3. Treatment applied to 10 other wafers has 8, 11, 9, 15, 7, 14, 10, 5, 8, 7 imperfections. Treat the counts as independent Poisson variates.
a. Fit the model.
b. Test by conducting the Wald or likelihood-ratio test of . Interpret.
c. Construct a 95% confidence interval for . (Hint: Construct one for and then exponentiate.)

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