Refer to the previous exercise. Height has a similar estimated slope for each of the three models.

Question:

Refer to the previous exercise. Height has a similar estimated slope for each of the three models. Why do you think that controlling for % body fat and then age does not change the effect of height much?

Previous exercise

Let€™s use multiple regression to predict total body weight (TBW, in pounds) using data from a study of female college athletes. Possible predictors are HGT = height (in inches), %BF = percent body fat, and age. The display shows the correlation matrix for these variables.

TBW HGT %BF AGE TBW 0.74 0.39 -0.19 0.10 HGT 0.74 -0.12 %BF 0.39 0.10 0.02 -0.19 AGE -0.12 0.02