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.

= 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.)

_______________