Here are the golf scores of 12 members of a college women's golf team in two rounds of tournament play. (A golf score is the number of strokes required to complete the course, so that low scores are better.) To what extent may we predict the second round score from the first round score? The standard error of the slope is 0.23.
| Player | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
| Round 1 |
89
|
90
|
87
|
95
|
86
|
81
|
102
|
105
|
83
|
88
|
91
|
79
|
| Round 2 |
94
|
85
|
89
|
89
|
81
|
76
|
107
|
89
|
87
|
91
|
88
|
80
|
a. Find a 95% confidence interval for the slope.
b. Find a 99% confidence interval for the slope.