STA 6166 Assignment 6

Predicting the Percentage of Body Fat From Simple Body Measurements

A variety of popular health books suggest that readers assess their health, at least in part, by estimating their percentage of body fat. Bailey (1991, The New Fit or Fat, Boston: Houghton-Mifflin, p.18) suggests that "15 percent fat for men and 22 percent fat for women are maximums for good health". In a recent study, age, weight, height, and 10 body circumference measurements were recorded for 252 men. Each man's percentage of body fat was accurately estimated by an underwater weighing technique. A description of the variables appearing in the dataset along with abbreviated names is as follows.

  1. fat: Percent body fat using Brozek's equation (Density determined from underwater weighing)
  2. age: Age (years)
  3. weight: Weight (lbs)
  4. height: Height (inches)
  5. neck: Neck circumference (cm)
  6. chest: Chest circumference (cm)
  7. abd: Abdomen 2 circumference (cm)
  8. hip: Hip circumference (cm)
  9. thigh: Thigh circumference (cm)
  10. knee: Knee circumference (cm)
  11. ankle: Ankle circumference (cm)
  12. biceps: Biceps (extended) circumference (cm)
  13. forearm: Forearm circumference (cm)
  14. wrist: Wrist circumference (cm)

Note that the body fat measurement for the last man was not recorded (the period denotes a missing observation). Using these data, build a multiple regression model to predict percent body fat from the remaining variables, and summarize your findings. In your quest for a suitable model, you should: