The following table contains the ACT scores and the GPA (grade point average) for eight college students. Grade point average is based on a four-point scale and has Student GPA ACT 1 2.8 21 2 3.4 24 3 3.0 26 4 3.5 27 5 3.629 6 3.0 25 7 2.7 25 8 3.7 30 (i) Estimate the relationship between GPA and ACT using OLS; that is, obtain the intercept and slope estimates in the equationΒ GPA =0+1ACT. (i) How much higher is the GPA predicted to be if the ACT score is increased by five points? (ii) Compute the fitted values and residuals for each observation, and verify that the residuals (Approximately) sum to zero.
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