A professor is trying to determine the likelihood of a student passing a statistics course (binary response variable y =

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A professor is trying to determine the likelihood of a student
passing a statistics course (binary response variable y
= 1 if the student passes) given the number of hours
studied in a week (x1) and the number of hours
playing video games in a week (x2). The
following table contains the parameter estimates of the linear
probability regression model (LPM) and the logistic regression
model, with the associated p-values shown in
parentheses.
a. What is the predicted probability of
passing the class implied by the linear probability model
for x1 = 5
with x2 equal to 11 and
27? (Round intermediate calculations to at least 4
decimal places and final answers to 2 decimal places. Do not
adjust your answer if it is greater than 1 or less than
0.)
b. What is the predicted probability of
passing the class implied by the logistic model
for x1 = 5
with x2 equal to 11 and
27? (Round intermediate calculations to at least 4
decimal places and final answers to 2 decimal
places.)