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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