Allometry is the study of the relative size of different parts of a body as a consequence of growth. In this problem, you will check the accuracy of an allometric equation: the weight of a fish is proportional to the cube of its length. Table 1.39 relates the weight, y, in gm, of plaice (a type of fish) to its length, x, in cm. Does this data support the hypothesis that (approximately) y = kx³? If so, estimate the constant of proportionality, k.

Transcribed Image Text:

Table 1.39 y y y 33.5 332 37.5 455 41.5 623 34.5 363 38.5 500 42.5 674 35.5 391 39.5 538 43.5 724 36.5 419 x X 40.5 574 X