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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
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 = -1.41 + 0.0237x, + 0.00488x2 where *1 = 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 85 and a score of 545 on the SAT mathematics test. (Round your answer to two decimal places.) GPA =
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