Unlike small selective colleges that pay close attention to personal statements, teacher recommendations, etc., large, public state university systems primarily rely on a student’s grade point average (GPA) and scores on the SAT or ACT for the college admission decisions. Data were collected for 120 applicants on college admission (Admit equals 1 if admitted, 0 otherwise) along with the student’s GPA and SAT scores. A portion of the data is shown in the accompanying table.

 

a. Estimate and interpret the appropriate linear probability and the logistic regression models. 

b. Compute the accuracy rates of both models. 

c. Use the preferred model to predict the probability of admission for a college student with GPA = 3.0 and SAT = 1400. What if GPA = 4.0?

Transcribed Image Text:

Admit 1 0 I 1 GPA 3.10 2.70 ⠀ 4.40 SAT 1550 1360 ⠀ 1320