Here are the golf scores (again) 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?
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
|
Run a significance test that there is no relationship between the first round and second round scores.