11.4 For the data set described in Problem 11.1, suppose that you obtain the following results for the random slope model, where πij is the predicted probability of proficiency and ATTc is mean-centered attendance using the mean attendance of 150 days:

logit πij ij j j ij ( ) = +  . 18 03. 5( ) ATTc + + U U ( ) ATTc 0 1

a. Fully interpret the value of the intercept in this model.

b. Fully interpret the value of the slope in this model.

c. What would be the predicted odds and predicted probability of proficiency for a student with average (mean) attendance in a randomly selected school?