DerBerggeist comments on Solved Problems Repository - Less Wrong
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It is obvious if you weigh yourself every day for a couple months or longer and you know how to do stats.
(FWIW, my weight since 12 February fits to a straight line a + bx where a = (93.74 ± 0.19) kg, b = (−0.018 ± 0.007) kg/day, and x is the time elapsed since 12 February; the RMS of residuals is 0.68 kg. Approximating the posterior pdf of b as a Gaussian, which ought to be close enough given 46 degrees of freedom, I'm 99.42% sure that b < 0.)
Haha, well yeah. Though you should hardly need stats if you're recording over a period of months ("golly, I wonder if my 40 lb weight change these past 6 months is just me being dehydrated right now? Maybe I should wait till after I drink my morning 4 gallons just to be sure"). I meant it more on time scales of "between 1 week and 2 weeks", or for where weight loss was very minor due to a tiny caloric deficit.
With more precise measurement (eg, via bodpod) of body composition you would better be able to track smaller changes, too.