X1 hign-school grade point average X2 = SAT mathematics score y = 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 college grade point average corresponding to a one point increase in the SAT mathematics score is the high school grade point average does not change. when SAT mathematics score does not change. Similarly, the expected increase in final when Predict the final college GPA for a student who has a high-school average of 85 and a score of 540 on the SAT mathematics test. (Round your answer to two decimal places.)

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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 high school GPA.
ý = -1.41 + 0.0235x, + 0.00486x2
where
high-school grade point average
X1
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 540 on the SAT
mathematics test. (Round your answer to two decimal places.)
GPA =
Transcribed Image Text: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. ý = -1.41 + 0.0235x, + 0.00486x2 where high-school grade point average X1 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 540 on the SAT mathematics test. (Round your answer to two decimal places.) GPA =
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