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3 In photo the dataset provided by Dr. A. Garth Fisher (personal communication, October 5, 1994), age, weight, height, and 10 body circumference measurements are recorded for 252 men. Each man's percentage of body photo fat was accurately estimated by photo an underwater weighing technique discussed below. A complete listing of the variables in the dataset appears in the Appendix. 2. Determination of the Percentage of Body Fat from Underwater Weighing 4 The percentage of body fat for an individual can be estimated from body density. As an approximation, assume that the body consists of two components -- lean tissue and fat tissue. Letting D = body density, W = body weight, A = proportion of lean tissue, B = proportion of fat tissue (so A + B = 1), a = density of lean tissue, and b = density of fat tissue, we have D = weight/volume = W/[lean tissue volume + fat tissue volume] = W/[A*W/a + B*W/b] = 1/[(A/a) + (B/b)].
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