8.2 Consider a logistic regression model with two predictors and the following parameters:

the intercept is α = 1.5, and the slopes are β1

= 0.4 and β2

= −0.1.

a. Compute the predicted logit of the probability when X1

= 0 and X2

= 0.

b. Compute the predicted odds when X1

= 0 and X2

= 0.

c. Based on your answers to

(a) and (b), explain how the value of the intercept can be interpreted.

d. Compute the predicted logit of the probability when X1

= 1 and X2

= 5.

e. Compute the predicted odds when X1 = 1 and X2 = 5.

f. Compute the predicted probability when X1

= 1 and X2

= 5.