The admissions officer for Clearwater College developed the following estimated regression equation relating the final college GPA to the student’s SAT mathematics score and
high-school GPA.
yˆ=−1.41+.0235x1+.00486x2y^ =−1.41+.0235x 1 +.00486x 2 where x1= high-school grade point average x2= SAT mathematics score y= final college grade point average
a. Interpret the coefficients in this estimated regression equation.
b. Estimate the final college GPA for a student who has a high-school average of 84 and a score of 540 on the SAT mathematics test.