what is the rejection region for The records of 12 college

what is the rejection region for

. The records of 12 college students were obtained in a random sample, and each student’s GPA(y) and ACT(x) were recorded as follows.

ACT

GPA

24

2.66

20

2.25

23

2.82

27

2.91

31

3.45

29

3.47

28

3.75

26

3.33

31

4.00

26

3.49

20

2.61

18

1.80

a. Construct scatterplot

b. Calculate Pearson correlation coefficient.

c. Determine the equation for the least squares line that can be used for predicting GPA from ACT score.

d. Calculate R² and interpret!

e. Conduct test of H₀: B₁ = 0 vs H_a: B₁ 0 at a=.05.

f. Construct a 95% confidence interval for the mean GPA for students who have an ACT score of 25.

Solution