Recorded here are the scores x1 and x2 in two midterm examinations, the GPA x3, and the final examination score y for 20 students in a statistics class.

(a) Ignoring the data of GPA and the first midterm score, fit a simple linear regression of y on x2. Compute r2.
(b) Fit a multiple linear regression to predict the final examination score from the GPA and the scores in the midterms. Compute R2.
(c) Interpret the values of r2 and R2 obtained in parts (a) and (b).

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