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 persons weight leaving out all fat. Metabolic rate, in calories burned per 24 hours,is the rate at which the body consumes energy.

Lean body mass in kilograms are: ( 32.3, 43.8, 33.4, 30.9, 42.2, 35.3, 31.5, 40.5, 45.9, 47.3 )
Metabolic rates are : ( 1202.5, 1274.5, 1200.6, 1149.7, 1339, 1313.7, 1235.4, 1211.7, 1345.6, 1434.6 )

What percentage of the variability in the metabolic rate can be explained by the body mass using linear regression?

Solutions

Expert Solution

Using R studio, we get

Here,

Coefficient of determination R2 = 0.6432 = 64.32%

The percentage of the variability in the metabolic rate can be explained by the body mass using linear regression

= 64.32%


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