1. Calculate a correlation coefficient for body mass versus power using Excel.
2. Men versus women, what percent of subjects were in each power category?
TABLE 2. Data Table | ||||
Subject | Sex (M or F) | Weight (kg) | Power (Watts) | Rating |
1 | F | 61.23 | 768.68 | Fair |
2 | F | 58.74 | 746.52 | Fair |
3 | F | 62.8 | 646.48 | Fair |
4 | F | 62.3 | 763.49 | Fair |
5 | F | 111.5 | 956.56 | Good |
6 | M | 102 | 1521.6 | Excellent |
7 | M | 113 | 1971.6 | Excellent |
8 | F | 72 | 600 | Fair |
9 | M | 124.7 | 1214.82 | Excellent |
10 | M | 95.2 | 982.36 | Average |
11 | M | 114 | 1324 | Excellent |
12 | M | 78 | 1599 | Excellent |
13 | M | 88 | 1191.44 | Excellent |
14 | M | 121.1 | 1780.9 | Excellent |
15 | F | 76.2 | 564.32 | Fair |
16 | F | 59.2 | 889.22 | Average |
17 | ||||
18 | ||||
Mean | 87.50 | 1095.06 |
(1)
X | Y | X2 | Y2 | XY | |
61.23 | 768.68 | 3749.1129 | 590868.9424 | 47066.2764 | |
58.74 | 746.52 | 3450.3876 | 557292.1104 | 43850.5848 | |
62.8 | 646.48 | 3943.84 | 417936.3904 | 40598.944 | |
62.3 | 763.49 | 3881.29 | 582916.9801 | 47565.427 | |
111.5 | 956.56 | 12432.25 | 915007.0336 | 106656.44 | |
102 | 1521.6 | 10404 | 2315266.56 | 155203.2 | |
113 | 1971.6 | 12769 | 3887206.56 | 222790.8 | |
72 | 600 | 5184 | 360000 | 43200 | |
124.7 | 1214.82 | 15550.09 | 1475787.632 | 151488.054 | |
95.2 | 982.36 | 9063.04 | 965031.1696 | 93520.672 | |
114 | 1324 | 12996 | 1752976 | 150936 | |
78 | 1599 | 6084 | 2556801 | 124722 | |
88 | 1191.44 | 7744 | 1419529.274 | 104846.72 | |
121.1 | 1780.9 | 14665.21 | 3171604.81 | 215666.99 | |
76.2 | 564.32 | 5806.44 | 318457.0624 | 43001.184 | |
59.2 | 889.22 | 3504.64 | 790712.2084 | 52641.824 | |
SUM | 1399.97 | 17520.99 | 131227.3 | 22077393.73 | 1643755.116 |
Sxy | 6918.834 |
Sx | 23.36203 |
Sy | 425.0607 |
(2) Male-50%
Female-50%
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