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A data set containing many physical measurements of 252 males. Most of the variables can be measured with a scale or tape measure. Can they be used to predict the percentage of body fat? If so, this offers an easy alternative to an underwater weighing technique.

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A data frame with 252 observations on the following 19 variables.

- case
Case Number

- body.fat
Percent body fat using Brozek's equation, 457/Density - 414.2

- body.fat.siri
Percent body fat using Siri's equation, 495/Density - 450

- density
Density (gm/cm

*\^*2)- age
Age (yrs)

- weight
Weight (lbs)

- height
Height (inches)

- BMI
Adiposity index = Weight/Height

*^*2 (kg/m*^*2)- ffweight
Fat Free Weight = (1 - fraction of body fat) * Weight, using Brozek's formula (lbs)

- neck
Neck circumference (cm)

- chest
Chest circumference (cm)

- abdomen
Abdomen circumference (cm) "at the umbilicus and level with the iliac crest"

- hip
Hip circumference (cm)

- thigh
Thigh circumference (cm)

- knee
Knee circumference (cm)

- ankle
Ankle circumference (cm)

- bicep
Extended biceps circumference (cm)

- forearm
Forearm circumference (cm)

- wrist
Wrist circumference (cm) "distal to the styloid processes"

From the source:

“The data are as received from Dr. Fisher. Note, however, that there are a few errors. The body densities for cases 48, 76, and 96, for instance, each seem to have one digit in error as can be seen from the two body fat percentage values. Also note the presence of a man (case 42) over 200 pounds in weight who is less than 3 feet tall (the height should presumably be 69.5 inches, not 29.5 inches)! The percent body fat estimates are truncated to zero when negative (case 182).”

This data set comes from the collection of the *Journal of
Statistics Education* at
http://www.amstat.org/publications/jse/datasets/fat.txt. The
data set was contributed by Roger W. Johnson.

The source of the data is attributed to Dr. A. Garth Fisher, Human Performance Research Center, Brigham Young University, Provo, Utah 84602,

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```
Loading required package: MASS
Loading required package: HistData
Loading required package: Hmisc
Loading required package: lattice
Loading required package: survival
Loading required package: Formula
Loading required package: ggplot2
Attaching package: 'Hmisc'
The following objects are masked from 'package:base':
format.pval, round.POSIXt, trunc.POSIXt, units
Attaching package: 'UsingR'
The following object is masked from 'package:survival':
cancer
Call:
lm(formula = f, data = fat)
Residuals:
Min 1Q Median 3Q Max
-10.2573 -2.5919 -0.1031 2.9040 9.2754
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) -1.519e+01 1.611e+01 -0.943 0.3467
age 5.688e-02 3.003e-02 1.894 0.0594 .
weight -8.130e-02 4.989e-02 -1.630 0.1045
height -5.307e-02 1.034e-01 -0.513 0.6084
BMI 6.101e-02 2.780e-01 0.219 0.8265
neck -4.450e-01 2.184e-01 -2.037 0.0427 *
chest -3.087e-02 9.779e-02 -0.316 0.7526
abdomen 8.790e-01 8.545e-02 10.286 <2e-16 ***
hip -2.031e-01 1.371e-01 -1.481 0.1398
thigh 2.274e-01 1.356e-01 1.677 0.0948 .
knee -9.927e-04 2.298e-01 -0.004 0.9966
ankle 1.572e-01 2.076e-01 0.757 0.4496
bicep 1.485e-01 1.600e-01 0.928 0.3543
forearm 4.297e-01 1.849e-01 2.324 0.0210 *
wrist -1.479e+00 4.967e-01 -2.978 0.0032 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Residual standard error: 3.996 on 237 degrees of freedom
Multiple R-squared: 0.749, Adjusted R-squared: 0.7342
F-statistic: 50.52 on 14 and 237 DF, p-value: < 2.2e-16
```

UsingR documentation built on May 2, 2018, 1:03 a.m.

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