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QUESTION

# Student 1: GPA=2.8, ACT=21 Student 2: GPA=3.4, ACT=24 Student 3: GPA=3.0, ACT=26 Student 4: GPA=3.4, ACT=30 Student 5: GPA=3.6, ACT=29 Student 6:...

Student 1: GPA=2.8, ACT=21

Student 2: GPA=3.4, ACT=24

Student 3: GPA=3.0, ACT=26

Student 4: GPA=3.4, ACT=30

Student 5: GPA=3.6, ACT=29

Student 6: GPA=3.0, ACT=25

Student 7: GPA=2.6, ACT=25

Student 8: GPA=3.7, ACT=27

a. Previous empirical studies have shown ACT scores is a significant predictor of GPA. Estimate the relationship between GPA and ACT based on the data provided using OLS, i.e., calculate the slope and the intercept of the regression equation.

b. What is the predicted value of GPA when ACT = 22?

c. How much higher is the GPA predicted to be if the ACT score is increased by four points?

d. What is the value of R2 (r square)?

e. How much of the variation in GPA for these students is explained by ACT (what is the value of the Explained Sum of Squares (ESS)?

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