A dean of a business school has fit a regression model to predict college GPA ba

Question

A dean of a business school has fit a regression model to predict college GPA based on a student's SAT score (SAT_Score), the percentile at which the student graduated high school (HS_Percentile) (for instance, graduating 4th in a class of 500 implies that 496 other students are al or below that student, so the percentile is 496/500 times 100 = 99), and the total college hours the student has accumulated (Total_Hours). The regression results are shown below. What would be the estimated mean GPA for a student with an SAT score of 1120, a high school percentile rank of 83, and total accumulated hours of 50? Because the estimated coefficients have such small values, in the calculation and answer, use four decimal places.

Explanation / Answer

GPA = -0.0427 + 0.0015*SAT + 0.0131 * HS_percentile + 0.0019*Total_hours

SAT = 1120

HS_percentile = 83

Total_hours = 50

hence

GPA =  -0.0427 + 0.0015*1120 + 0.0131 *83 + 0.0019*50

=2.8196

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