A class of 63 students has two hourly exams and a final exam. How well do the two hourly exams predict performance on the final?

The following are some quantities of interest:

(a) Calculate the least squares estimates of the slopes for hourly 1 and hourly 2 and the intercept.

(b) Use the equation of the fitted line to predict the final exam score for a student who scored 70 on hourly 1 and 85 on hourly 2.

(c) If a student who scores 80 on hourly 1 and 90 on hourly 2 gets an 85 on the final, what is her residual?

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0.9129168 (X'X) =-0.00981502 -0.00071123 -9.815022e-03 1.49724le- 04 -4.158056e- 05 -7.11238e-04 -4.15806e- 05 5.81235e-05 4871.0 (X'y) =| 426011.0 367576.5