A glm related question, thanks.

Consider a Poisson GLM with the intercept and one factor predictor with J levels. (a) The number of parameters in this model is A)2 B)J1 C)J D)J+1 1 MARK (b) The fitted values '12- are the same when the log link is used and when the identity link is used. A) TRUE B) FALSE C) TRUE for some datasets and FALSE for others. 3 MARKS (c) Suppose that 931- represents the value of the factor predictor corresponding to the ith response yi. When the canonical link is used, the estimate of the intercept is A) 23:1 92' B) 10% (2:1 1%) C) EXP (23:1 391') D) 211:1 yi1(;v,; = 1) E) 10g(2f=1 y1(:cz- = 1)) F) not available in a closed form 3 MARKS