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The admissions officer for Clearwater College developed thefollowing estimated regression equation relating the final collegeGPA to the student’s SAT mathematics score and high-schoolGPA.y = -1.41 + .0235x1 + .00486x2where:x1 = high-school grade point averagex2 = SAT mathematics scorey = final college grade point averageInterpret the coefficients in this estimated regressionequation.Estimate the final college GPA for a student who has ahigh-school average of 84 and a score of 540 on the SAT mathematicstest.

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Answer:

3.19

Step-by-step explanation:

In this equation, y represents the final college GPA, x₁ represents the high school GPA and x₂ represents the SAT math score.

For a student with a high school GPA of 84 and a score of 540 on the SAT math test, we use x₁ = 84 and x₂ = 540:

y = -1.41 + 0.0235(84) + 0.00486(540) = 3.1884 ≈ 3.19