12.21 Refer to Exercise 12.7. The data, along with the MINITAB analysis of variance table, are reproduced below.

a. Do the data provide sufficient evidence to indicate that y and x are linearly related? Use the information in the MINITAB printout to answer this question at the 1% level of significance.

b. Calculate the coefficient of determination r. What information does this value give about the usefulness of the linear model?

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X 1 2 3 456 y 5.6 4.6 4.5 3.7 3.2 2.7 MINITAB ANOVA table for Exercise 12.21 Regression Analysis: y versus x Analysis of Variance Source DF SS MS F P Regression 1 5.4321 5.4321 152.10 0.000 Residual Error 4 0.1429 0.0357 Total 5 5.5750