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.ŷ = −1.4 + 0.0235x1 + 0.00488x2wherex1 = high-school grade point averagex2 = sat mathematics scorey = final college grade point average. 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.