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The following table contains the ACT scores and the GPA(grade point average) for eight college stu-dents. Grade point average is based on a fout point

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The following table contains the ACT scores and the GPA(grade point average) for eight college stu-dents. Grade point average is based on a fout point scale and has been rounded to one digit after thedecimal. Student GPA ACT 1 2.8 21 2 3.4 24 3 3.0 26 4 3.5 27 5 3.6 29 6 3.0 25 7 2.7 25 8 3.7 30 Estimate the relationship between GPA and ACT using Ols, that is obtain the intercept andslope estimates in the equation GPA + , ACT, Comment on the direction of the relationship Does the intercept have a useful interpretationhere? Explain How much higher is the GPA predicted to be in the ACT score is increased twyfive points? myCompute the fitted values and residuals for each observation and verify that the residuals (approximately) sum to reto. OLD What is the predicted value of GPA when ACT-207 How much of the variation in GPA for these eight students is explained by ACT? Explain

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