Author Question: A college admissions officer proposes to use regression to model a student's college GPA at ... (Read 31 times)

berenicecastro · **on:** Feb 14, 2020

A college admissions officer proposes to use regression to model a student's college GPA at graduation in terms of the following two variables:

x₁ = high school GPA
x₂ = SAT score

The admissions officer believes the relationship between college GPA and high school GPA is linear and the relationship between SAT score and college GPA is linear. She also believes that the relationship between college GPA and high school GPA depends on the student's SAT score. She proposes the regression model:

E(y) = β₀ + β₁x₁ + β₂x₂ + β₃x₁x₂

Explain how to determine if the relationship between college GPA and SAT score depends on the high school GPA.

sylvia · **Reply #1 on:** Feb 14, 2020

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