Refer to Exercise 12.6. The data are reproduced below. a. Do the data prese...

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 α = .05. What is the relationship between the critical values?

Reference:

You are given five points with these coordinates:

a. Use the data entry method on your scientific or graphing calculator to enter the n = 5 observations. Find the sums of squares and cross-products, .

b. Find the least-squares line for the data.

c. Plot the five points and graph the line in part b. Does the line appear to provide a good fit to the data points?

d. Construct the ANOVA table for the linear regression.