make the proposed new BMI system align with the standard BMI components for adults of average top, whereas the exponent of two.5 is a compromise between the exponent of 2 in the conventional formula for BMI and the exponent of 3 that might be expected for the scaling of weight (which at constant density would theoretically scale with volume, i. e., because the cube of the height) with peak; nonetheless, in Trefethen’s analysis, an exponent of 2.5 was discovered to suit empirical data more closely with much less distortion than either an exponent of 2 or 3.
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