Part 2 (You must work out this part by using SAS) Please submit: 1. Your SAS code. 2. Only relevant parts of SAS output. 3. Your typed or handwritten comments and your solutions. 1. (40 pts)For this problem use the "alcohol" data which can be found in Canvas alcohol.txt . The first column is the alcohol (X ) and the second column is the strength (Y). (a) (5 pts)Run the linear regression to predict strength using the REG procedure to find the estimated regression equation. (b) (5 pts)Test the null hypothesis that the true slope is 0; be sure to include null, alternative hypotheses, test method, and interpret your results. (c) (5 pts)Obtain a 95% confidence interval for the slope (d) (5 pts)Construct a 95% confidence interval for the mean strength when the alcohol is 22.6. (e) (5 pts)Construct a 95% prediction interval for the strength when the alcohol is 25.6. (f) (5 pts)What percent of the variation in strength is explained by alcohol? 10 pts for your SAS code.

alcohol strength

36.2 10.0

39.7 10.0

39.5 10.8

18.2 12.2

29.2 13.1

32.5 14.0

13.2 15.5

14.8 15.5

28.6 15.2

30.8 15.2

34.5 15.2

39.7 15.5

28.3 16.2

34.5 16.2

40.3 16.2

19.1 17.9

27.7 18.2

40.8 18.2

17.7 19.1

22.8 18.8

28.3 19.3

4.0 20.9

5.2 20.9

11.7 20.9

12.5 20.9

13.7 20.9

15.7 20.9

17.4 20.9

18.9 21.1

20.0 21.1

32.3 21.2

3.5 22.3

9.8 22.1

14.0 21.8

18.3 22.2

19.7 22.2

29.8 23.3

9.7 23.9

11.1 24.0

32.9 24.1

10.8 25.1

14.0 25.1

17.5 25.1

12.6 26.2

22.6 26.3

5.2 28.2

9.4 28.2

13.5 28.4

19.1 28.2

7.4 29.5