Football Punting: Leg strength is a necessary characteristic of a successful punter in American football. One measure of the quality of a good punt is the “hang time.” This is the time that the ball hangs in the air before being caught by the punt returner. To determine what leg strength factors influence hang time and to develop an empirical model for predicting this response, a study onThe Relationship Between Selected Physical Performance Variables and Football Punting Abilitywas conducted by the Department of Health, Physical Education, and Recreation at Virginia Tech. Thirteen punters were chosen for the experiment, and each punted a football 10 times. The average hang times, along with the strength measures used in the analysis, were recorded in Table 12.12. Each regressor variable is defined as follows:
1.RLS, right leg strength (pounds)
2.LLS, left leg strength (pounds)
3.RHF,right hamstring muscle flexibility (degrees)
4.LHF,left hamstring muscle flexibility (degrees)
5.Power, overall leg strength (foot-pounds)
Determine the most appropriate model for predicting hang time.
Table 12.12
Punter
|
Hang Time, y (sec)
|
RLS, x1
|
LLS, x2
|
RHF, x3
|
LHF, x4
|
Power, x5
|
1
|
4.75
|
170
|
170
|
106
|
106
|
240.57
|
2
|
4.07
|
140
|
130
|
92
|
93
|
195.49
|
3
|
4.04
|
180
|
170
|
93
|
78
|
152.99
|
4
|
4.18
|
160
|
160
|
103
|
93
|
197.09
|
5
|
4.35
|
170
|
150
|
104
|
93
|
266.56
|
6
|
4.16
|
150
|
150
|
101
|
87
|
260.56
|
7
|
4.43
|
170
|
180
|
108
|
106
|
219.25
|
8
|
3.20
|
110
|
110
|
86
|
92
|
132.68
|
9
|
3.02
|
120
|
110
|
90
|
86
|
130.24
|
10
|
3.64
|
130
|
120
|
85
|
80
|
205.88
|
11
|
3.68
|
120
|
140
|
89
|
83
|
153.92
|
12
|
3.60
|
140
|
130
|
92
|
94
|
154.64
|
13
|
3.85
|
160
|
150
|
95
|
95
|
240.57
|