In: Statistics and Probability
We have data on the lean body mass and resting metabolic rate
for 10 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.
Body Mass values are: (30,14,42,22,38,40,46,15,56,24)
Metabolic Rates:
(767,623,1260,688,1152,1172,1356,599,1520,808)
Find the least-squares regression line for predicting metabolic
rate from body mass.
What percentage of the variability in the metabolic rate
can be explained by the body mass?
Regression Equation
Regression equation is as follows:
Metabolic rate = 225.392 + 23.520*Body Mass
Coefficient of Determination Calculation
Correlation coefficient r = 0.9792
Coefficient of Determination r2 = 0.97922 = 0.9588
Thus, 95.88% of the variability in the metabolic rate can be explained by the body mass.