Using the data and your results from question 22, forecast the final exam score for a student who scored 97 on the midterm and studied 6 1/2 h for the final.

Construct a 90 % confidence interval for this forecast.

Question 22

Thomas Chen, an education professor, is interested in the relationship among final exam scores, midterm exam scores, and hours studied for the final. He collects the following data.

(a) Estimate the regression coefficients for α, β₁, and β₂.

(b) Compute the estimated R₂ and of the adjusted R₂.

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Final exam score, y 75 83 72 88 95 Midterm exam score, X 74 89 65 92 90 Hours studied, X in 0 5 8 9 4 10