a. Using the information provided in Problem 2 of Chapter 9, determine the proportion of residual variation that is explained by the addition of X2 to a model already containing X1; that is, compute

b. How is the formula given in part (a) related to the partial correlation rYX2|X1?
c. Test the hypothesis H0: pYX2|X1 = 0 using both an F test and a two-sided t test. Check to confirm that these tests are equivalent.

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Regression SS(X, X2) Regression SS(X1) Residual SS(X)