F I L E Seton Hall University is a Roman Catholic university situated in New Jersey, w ith easy access to New York City.

Like m o st universities, it uses SAT scores and high school GPA as prim ary criteria for adm ission. The accom panying table show s a portion of d ata concerning inform ation on adm ission (1 for adm ission and 0 otherw ise), SAT score, and GPA for 30 stu d en ts w ho had recently applied to Seton Hall;

th e full data set can be found on th e text w ebsite, labeled S eton Hall.

Admission SAT GPA 1 1700 3.39 1 2020 2.65

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0 1300 2.47

a. Estim ate th e linear probability m odel w here adm ission d e p en d s on th e SAT score and high school GPA. Analyze th e significance of th e variables at th e 5% level.

b. Use th ese estim ates to predict th e probability of adm ission for an individual w ith a GPA of 3.5 and a SAT score of 1700.

c. R e-estim ate th e probabilities with a SAT score of 1800.