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.
ŷ = −1.41 + .0235x₁ + .00486x₂
, where x₁= high-school grade point average, x₂= SAT mathematics score and 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.