An admissions officer wants to examine the cumulative GPA of new students, and has data on 224 first-year students at the end of their first two semesters. The admissions officer estimates the following model: GPA = β₀ + β₁HSM + β₂HSS + β₃HSE + ε, where HSM, HSS and MSE are their average high school math, science and English grades (as proportions). The regression results are shown in the accompanying table. a. Predict the GPA when the average math grade is 90%, the average science grade is 85% and the average English grade is 85%.
B) If a student had a GPA of 3.0. What is the residual and does the sample regression equation under- or overpredict the GPA?
C) Calculate the standard error of the estimate.
D) Interpret the coefficient of determination.

Question

An admissions officer wants to examine the cumulative GPA of new students, and has data on 224 first-year students at the end of their first two semesters. The admissions officer estimates the following model: GPA = β₀ + β₁HSM + β₂HSS + β₃HSE + ε, where HSM, HSS and MSE are their average high school math, science and English grades (as proportions). The regression results are shown in the accompanying table.

a. Predict the GPA when the average math grade is 90%, the average science grade is 85% and the average English grade is 85%.
B) If a student had a GPA of 3.0. What is the residual and does the sample regression equation under- or overpredict the GPA?
C) Calculate the standard error of the estimate.
D) Interpret the coefficient of determination.

Quizplus · Accepted Answer

The Answer of An admissions officer wants to examine the cumulative GPA of new students, and has data on 224 first-year students at the end of their first two semesters. The admissions officer estimates the following model: GPA = β₀ + β₁HSM + β₂HSS + β₃HSE + ε, where HSM, HSS and MSE are their average high school math, science and English grades (as proportions). The regression results are shown in the accompanying table. a. Predict the GPA when the average math grade is 90%, the average science grade is 85% and the average English grade is 85%. B) If a student had a GPA of 3.0. What is the residual and does the sample regression equation under- or overpredict the GPA? C) Calculate the standard error of the estimate. D) Interpret the coefficient of determination.

An Admissions Officer Wants to Examine the Cumulative GPA of New