Refer to Exercise 12.6. The data are reproduced below.

a. Do the data present sufficient evidence to indicate that y and x are linearly related? Test the hypothesis that β = 0 at the 5% level of significance.
b. Use the ANOVA table from Exercise 12.6 to calculate F = MSR/MSE. Verify that the square of the t statistic used in part a is equal to F.
c. Compare the two-tailed critical value for the t-test in part a with the critical value for F with a = .05. What is the relationship between the critical values?

x -2 -1 0 1 2 8 5