Suppose you observe
|
X:
|
12.2
|
41
|
5.4
|
13
|
22.6
|
35.9
|
7.2
|
5.2
|
5.5
|
2.4
|
6.8
|
29.6
|
58.7
|
|
Y:
|
1.8
|
7.8
|
0.9
|
2.6
|
4.1
|
6.4
|
1.3
|
0.9
|
9.1
|
0.7
|
1.5
|
4.7
|
8.2
|
Verify that the 0.95 confidence interval for the slope is (0.14, 0.17). Would you reject H0 :β1 = 0? Based on this confidence interval only, can you be reasonably certain that generally, as X increases, Y increases as well?