For the zero inflated Poisson (ZIP) model in Section 18 4 8, we derived the conditional mean function, E y i xi, w i (1 F i ) i a For the same model, now obtain Var yi x i , w i Then, obtain i Var y i x i , w i E y i x i , w i Does the zero inflation produce overdispersion (That is, is the ratio greater than one ) b Obtain the partial effect for a variable z i that appears in both w i and x i

Question: For the zero-inflated Poisson (ZIP) model in Section 18.4.8, we derived the conditional mean function, E[y i |xi, w i ] = (1 F

For the zero-inflated Poisson (ZIP) model in Section 18.4.8, we derived the conditional mean function, E[y_i |xi, w_i] = (1 − F_i)λ_i.

a. For the same model, now obtain Var[yi |x_i, w_i]. Then, obtain τ_i = Var[y_i |x_i, w_i]/E[y_i |x_i, w_i]. Does the zero inflation produce overdispersion? (That is, is the ratio greater than one?)

b. Obtain the partial effect for a variable z_i that appears in both w_i and x_i.

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