Exercise 11.1 described a regression model between

percent of body fat (%BF) as measured by immersion and BMI

from a study on 250 male subjects. The researchers also measured

13 physical characteristics of each man, including his age

(yrs), height (in), and waist size (in).

A regression of percent of body fat with both height and

waist as predictors shows the following computer output:

Residual standard error: 4.46 on 247 degrees of freedom

Multiple R-squared: 0.7132, Adjusted R-squared: 0.7109

F-statistic: 307.1 on 2 and 247 DF, p-value:

(a) Write out the regression model if

and

(b) Verify that the model found from technology is correct to at

least 2 decimal places.

(c) What is the predicted body fat of a man who is 6-ft tall with a 34-in waist?

Transcribed Image Text:

Estimate Std. Error t-value Pr (>|t|) (Intercept) -3.10088 7.68611 -0.403 Height -0.60154 0.10994 -5.472 0.687 1.09e-07 Waist 1.77309 0.07158 24.770 < 20-16