The variables in our dataset include the college grade point average (colGPA), high school GPA (hsGPA), and achievement test score (ACT) for a sample of 141 students from a large university; both college and high school GPAs are on a four- point scale. We estimate the following model by OLS:     colGPA=β₁+β₂hsGPA+β₃ACT+u, and obtain the following parameter estimates β₁=1, β₂=0.5, and β₃=0.02. Predict difference of college GPA's of two students (colGPAB-colGPAA) where the student B has a 0.4 higher GPA in high school and 5 points higher ACT score compared to student A.

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The variables in our dataset include the college grade point average (colGPA), high school GPA (hsGPA), and achievement test score (ACT) for a sample of 141 students from a large university; both college and high school GPAs are on a four- point scale. We estimate the following model by OLS:

    colGPA=β₁+β₂hsGPA+β₃ACT+u,

and obtain the following parameter estimates β₁=1, β₂=0.5, and β₃=0.02. Predict difference of college GPA's of two students (colGPAB-colGPAA) where the student B has a 0.4 higher GPA in high school and 5 points higher ACT score compared to student A.

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