For Exercises 15–18, follow these steps. Assume that the regression model assumptions are valid.

  1. Find for a two-tailed test with level of significance and .
  2. Calculate .
  3. Compute .
  4. Calculate .
  5. Perform the hypothesis test for the linear relationship between and , using the critical-value method and .

Question 13.17

17. Data in Exercise 9, where

13.1.17

(a) (b) (c) (d) (e) : There is no linear relationship between and . : There is a linear relationship between and . Reject if or . Since , we reject . There is evidence at level of significance that and that there is a linear relationship between and .