[math-fun] USA women & men, height and weight, recommended & actual, plots
So what do you reckon is the best-fit exponent e in the equation wt = c*ht^e , based on these data? WFL
--no idea. And depends on your goal, are you trying to fit the population, or trying to fit the min-mortality weights (which are quite different)? I think it is much more clear what e should be -- namely e = 2.5 to 2.8 -- if we are fitting the growth curves for children ages 2-19. I do not understand why that e happens, but it does. For adults, damned if I know what is going on. Anyhow here are the formulas: children both genders, ages 2-19, fitting to median weight in population for each height: WeightInPounds = 0.002384649 * MedianHeightInInches^2.593828 (Korevaar) Men ages 25-59, my best fit to mortality-minning weights: WeightInPounds = 99.9 + 8.63*10^(-7) * HeightInches^4.23 Women ages 25-59, my best fit to mortality-minning weights: WeightInPounds = 50.8 + 0.00459 * HeightInches^2.347
Does your data allow estimating the life-span sacrificed for being off the curve? How much does carrying an extra 5 or 50 pounds cost? Rich --------- Quoting Warren D Smith <warren.wds@gmail.com>:
So what do you reckon is the best-fit exponent e in the equation wt = c*ht^e , based on these data? WFL
--no idea. And depends on your goal, are you trying to fit the population, or trying to fit the min-mortality weights (which are quite different)? I think it is much more clear what e should be -- namely e = 2.5 to 2.8 -- if we are fitting the growth curves for children ages 2-19. I do not understand why that e happens, but it does. For adults, damned if I know what is going on. Anyhow here are the formulas:
children both genders, ages 2-19, fitting to median weight in population for each height: WeightInPounds = 0.002384649 * MedianHeightInInches^2.593828 (Korevaar)
Men ages 25-59, my best fit to mortality-minning weights: WeightInPounds = 99.9 + 8.63*10^(-7) * HeightInches^4.23
Women ages 25-59, my best fit to mortality-minning weights: WeightInPounds = 50.8 + 0.00459 * HeightInches^2.347
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Warren D Smith