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. y'= -1.41 + .0235x1 + .00486x2 Where x1 = high-school grade point average x2 = SAT mathematics score y = final college grade point average 4. Interpret the coefficients in this estimated regression equation. 5. 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.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.4: Linear Regression
Problem 12SBE: Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
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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.
y'= -1.41 + .0235x1 + .00486x2
Where
x1 = high-school grade point average
x2 = SAT mathematics score
y = final college grade point average
4. Interpret the coefficients in this estimated regression equation.
5. 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.
Transcribed Image Text: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. y'= -1.41 + .0235x1 + .00486x2 Where x1 = high-school grade point average x2 = SAT mathematics score y = final college grade point average 4. Interpret the coefficients in this estimated regression equation. 5. 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.
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