On average, the surface area A of human beings is related to weight W and height H

Chapter 14, Problem 14.12

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On average, the surface area A of human beings is related to weight W and height H. Measurements on a number of individuals of height 180 cm and different weights (kg) give values of A (m2 ) in the following table: W (kg) 70 75 77 80 82 84 87 90 A (m2) 2.10 2.12 2.15 2.20 2.22 2.23 2.26 2.30 Show that a power law A = aWb fits these data reasonably well. Evaluate the constants a and b, and predict what the surface area is for a 95-kg person.

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