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1. [10 marks] Given the i.i.d. responses Y1, ..., Ym, n independent copies of a random variable Y, the goal is to explain how the

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1. [10 marks] Given the i.i.d. responses Y1, ..., Ym, n independent copies of a random variable Y, the goal is to explain how the expected value of Y behaves as a function of the p predictors Ci = (Ci, ...,Dip) , i= 1,...,n. Assume that Y, follows a Poisson distribution with parameter i. a) What strategy would you use? Give its name. b) What is the connection between ; and the predictor n = c: 3 when using the canonical link g(/)? c) Suppose that 3 is the MLE and fi = g (x 3). Find the maximized log- likelihood for the model

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