For the following data,

X         Y

25        5

19        7

17        12

14        23

12        20

9          25

8          26

7          28

3          20

a. Calculate the correlation between X and Y.

b. Interpret the sign of the correlation.

c. Interpret the square of the correlation.

d. Plot the least-squares line.

e. Test for a linear relationship:

(1) Beta1 = 0.

(2) r = 0.

(3) An F test.