What problem is there to apply regression at? You get the measures, and make the cloths fit to those measures. If there is any measure missing, you can't just go and guess it, because you are not fitting a population.
Sure, but just like people's measures tend toward a distribution, an "on average" bias is still going to be distributed. Trying to throw statistics at it is still going to lead to off the rack style sizing, and NOT individually tailored clothes.