10.66 Resting metabolic rate and exercise. Metabolic rate, the rate at which the body consumes energy, is important in studies of weight gain, dieting, and exercise. The following table gives data on the lean body mass and resting metabolic rate for 12 women and seven men who are subjects in a study of dieting. Lean body mass, given in kilograms, is a person’s weight leaving out all fat. Metabolic rate is measured in calories burned per 24 hours, the same calories used to describe the energy content of foods. The researchers believe that lean body mass is an important influence on metabolic rate.
Subject | Sex | Mass | Rate | Subject | Sex | Mass | Rate |
1 | M | 62.0 | 1792 | 11 | F | 40.3 | 1189 |
2 | M | 62.9 | 1666 | 12 | F | 33.1 | 913 |
3 | F | 36.1 | 995 | 13 | M | 51.9 | 1460 |
4 | F | 54.6 | 1425 | 14 | F | 42.4 | 1124 |
5 | F | 48.5 | 1396 | 15 | F | 34.5 | 1052 |
6 | F | 42.0 | 1418 | 16 | F | 51.1 | 1347 |
7 | M | 47.4 | 1362 | 17 | F | 41.2 | 1204 |
8 | F | 50.6 | 1502 | 18 | M | 51.9 | 1867 |
9 | F | 42.0 | 1256 | 19 | M | 46.9 | 1439 |
10 | M | 48.7 | 1614 |
(a) Make a scatterplot of the data, using different symbols or colors for men and women. Summarize what you see in the plot.
(b) Run the regression to predict metabolic rate from lean body mass for the women in the sample and summarize the results. Do the same for the men.