Question: Suppose we obtain model estimates that yield predicted conditional mean (widehat{E}[y mid x]=exp (1+0.01 x) /[1+exp (1+0.01 x)]). Suppose the sample is of size 100

Suppose we obtain model estimates that yield predicted conditional mean $\widehat{E}[y \mid x]=\exp (1+0.01 x) /[1+\exp (1+0.01 x)]$. Suppose the sample is of size 100 and $x$ takes integer values $1,2, \ldots, 100$. Obtain the following estimates of the estimated marginal effect $\partial \widehat{\mathrm{E}}[y \mid x] / \partial x$.

(a) The average marginal effect over all observations.

(b) The marginal effect of the average observation.

(c) The marginal effect when $x=90$.

(d) The marginal effect of a one-unit change when $x=90$, computed using the finite-difference method.

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Given The predicted conditional mean is given by widehatEy mid x fracexp 1 001 x1 exp 1 001 x The sample size is 100 and x takes integer values from 1 ... View full answer

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