Problem: Do heavier people burn more energy? We have data on the lean body mass and resting metabolic rate for 12 women 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, in calories burned per 24 hours, is the rate at which the body consumes energy.
|
Mass
|
36.1
|
54.6
|
48.5
|
48.0
|
50.6
|
42.0
|
40.3
|
33.1
|
42.4
|
34.5
|
51.1
|
41.2
|
|
Rate
|
995
|
1425
|
1396
|
1418
|
1502
|
1256
|
1189
|
913
|
1124
|
1052
|
1347
|
1204
|
1. Make a scatterplot that shows how metabolic rate depends on body mass. There is a quite strong linear relationship, with correlation r =0.876.
2. Find the least-squares regression line for predicting metabolic rate from body mass. Add this line to your scatterplot.
3. Explain in words what the slope of the regression line tells us.
4. Another woman has a lean body mass of 45 kilograms. What is her predicted metabolic rate?