Suppose you fit the first-order model to n = 20 data points and obtain

a. Construct an analysis of variance table for this regression analysis, using the same format as the printout in Exercise 10.17. Be sure to include the sources of variability, the degrees of freedom. the sums of squares, the mean squares, and the F statistic. Calculate R2 and Rt for the regression analysis.

b. Test the null hypothesis that P, = P2 = 0 against the alternative hypothesis that at least one of the parameters differs from 0. Calculate the test statistic in two different ways and compare the results. Use 0 = .05 to reach a conclusion about whether the model contributes information for the prediction of y.

Applying the Concepts