2.33 Good measures of body fat are difficult to come by, but a good measure of body density can be made from underwater weighing. Table below lists the percent fat and body density of 15 women (Source: Pollock, unpublished research report, University of Florida, 1956).

a Construct a scatterplot of fat versus density.

Discuss the nature of relation between the percent body fat and the body density of women.
b Use the data in table below to find a good regression model to predict % body fat from body density for women.
c A woman’s body density is measured to be 1.050. Use the relation in part

(b) to predict the % body fat for this woman?

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Density %Fat Density %Fat 1.053 19.94 1.001 44.33 1.053 20.04 1.052 20.74 1.055 19.32 1.014 38.32 1.056 18.56 1.076 9.91 1.048 22.08 1.063 15.81 1.040 25.81 1.023 34.02 1.030 30.78 1.046 23.15 1.064 15.33