We are interested in determining if the amount of sleep someone gets per night affects how much they exercise. The following data are provided:

5-0, 5.5- ,7 6 -14, 6.5- 7, 7 -12, 7.5- 4, 8- 6, 8.5- 1, 9- 8

1. Find s^2.
2. Find the test statistic for testing if b ₁ is significant or not.
3. What conclusion would you make based on the test statistic found above (use .05 confidence level)?
4. Find the 95% confidence interval for β ₁ .
5. Assuming someone sleeps 8 hours a night, how much would you expect them to exercise?