Question

In: Statistics and Probability

We have data on the lean body mass and resting metabolic rate for 10 women who...

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?

Solutions

Expert Solution

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.


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