The admissions officer for a certain college developed the following estimated regression equation relating the final college GPA to the student's SAT mathematics score and high school GPA.
y^ = -1.4 + 0.0235x1 + 0.00486x2
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.
The expected increase in final college grade point average corresponding to a one point increase in high school grade point average is when SAT mathematics score does not change. Similarly, the expected increase in final college grade point average corresponding to a one point increase in the SAT mathematics score is when the high school grade point average does not change.
(b) Predict 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. (Round your answer to two decimal places.)