I have a data set of orders of made-to-measure suits where customers have measured themselves and ordered suits. Each record consist of a bunch of body measurements (such as arm length, stomach circumference, etc). I also have the height and weight of the person.
I have the hypothesis that many, if not all, of these measurements could be calculated from just the length and weight of the person, or those two variables plus perhaps some extra variable.
How could I verify this and find such correlations? My guess would be to group all orders by length and weight, and within each such group I take the mean value of each measurement and then check the standard deviation to see if the numbers seem to stay close enough to the mean. I would just put the numbers into Excel and run it there or write a little Python program that makes the calculations (I am a programmer by profession). I am not sure how I can map these results into some usable formula afterwards. The end-result I am looking for is that all measurements should be possible to calculate with only a few input variables (such as height and weight), but I cannot accept too big variations as that would result in ill-fitting suits for many.
I have the feeling I lack the statistical knowledge here. How can I tackle this problem?