For Exercises 39–46, assume the regression requirements are met. Test for the linear relationship between and , using level of significance .
dartsdjia
43. Darts and the Dow Jones. The following table contains a random sample of eight days from the Chapter 3 Case Study data set, indicating the stock market gain or loss for the portfolio chosen by the random darts , as well as the Dow Jones Industrial Average gain or loss for that day .
| Darts | DJIA |
|---|---|
| −27.4 | −12.8 |
| 18.7 | 9.3 |
| 42.2 | 8 |
| −16.3 | −8.5 |
| 11.2 | 15.8 |
| 28.5 | 10.6 |
| 1.8 | 11.5 |
| 16.9 | −5.3 |
13.1.43
: No linear relationship exists between DJIA and darts.
: A linear relationship exists between DJIA and darts.
Reject if the -value . . -value .
The is not ≤ , so we do not reject . Insufficient evidence exists, at level of significance , for a linear relationship between DJIA and darts.