A psychologist believes that people who exercise regularly have higher self-esteem than those who do not. To prove her hypothesis, she selects eight participants and randomly assigns each to a different number of hours of exercise per week. After six months of following the assigned exercise regimen, she measures each participant's self-esteem using an established questionnaire. The data collected on the eight participants appear in the table below.

Subject #

2

4

5

7

6

8

9

3

Exercise Hours Per Week

2

4

5

7

6

8

9

3

Self-Esteem

28

25

26

30

37

33

36

29

a.Calculate the Pearson correlation coefficient for the data above.

b.If someone exercised 15 hours per week, what would their self-esteem score be?

c.How wrong would you be?