For the data below,
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) β1 = 0.
(2) r = 0.
(3) An F test.