Let grad be a dummy variable for whether a student-athlete at a large university graduates in five years. Let hsGPA and SAT be high school grade point average and SAT score, respectively. Let study be the number of hours spent per week in an organized study hall. Suppose that, using data on 420 student-athletes, the following logit model is obtained: P(grad = 1|hsGPA, SAT, study) = A(-1.17 +0.24hsGPA +0.00056SAT +0.073study) where A is the logit function. (a) Write down the expression for the logit function. (b) Describe the advantage and disadvantage of using logit model compared with linear probability model (LPM). (c) Holding hsGPA fixed at 3.0 and SAT fixed at 1,200, compute the estimated difference in the graduation probability for someone who spent 10 hours per week in study hall and someone who spent 5 hours per week.

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Let grad be a dummy variable for whether a student-athlete at a large university graduates in
five years. Let hsGPA and SAT be high school grade point average and SAT score,
respectively. Let study be the number of hours spent per week in an organized study hall.
Suppose that, using data on 420 student-athletes, the following logit model is obtained:
P(grad = 1|hsGPA, SAT, study)
= A(-1.17 + 0.24hsGPA +0.00056SAT + 0.073study)
where A is the logit function.
(a) Write down the expression for the logit function.
(b) Describe the advantage and disadvantage of using logit model compared with linear
probability model (LPM).
(c) Holding hsGPA fixed at 3.0 and SAT fixed at 1,200, compute the estimated difference
in the graduation probability for someone who spent 10 hours per week in study hall
and someone who spent 5 hours per week.
Transcribed Image Text:Let grad be a dummy variable for whether a student-athlete at a large university graduates in five years. Let hsGPA and SAT be high school grade point average and SAT score, respectively. Let study be the number of hours spent per week in an organized study hall. Suppose that, using data on 420 student-athletes, the following logit model is obtained: P(grad = 1|hsGPA, SAT, study) = A(-1.17 + 0.24hsGPA +0.00056SAT + 0.073study) where A is the logit function. (a) Write down the expression for the logit function. (b) Describe the advantage and disadvantage of using logit model compared with linear probability model (LPM). (c) Holding hsGPA fixed at 3.0 and SAT fixed at 1,200, compute the estimated difference in the graduation probability for someone who spent 10 hours per week in study hall and someone who spent 5 hours per week.
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