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I have a scenario with three variables, X,Y,Z and Result This is what I know about them:

X could go be from 1 – 100 say meters

Y could be 0 – 31 say ranking

Z could be 1- 100 say meters

Result is in meters (1-100)

For values of X between say 1-20 meters, and 80-100 meters it impacts the result very much i.e low values of Result i.e. like a bell shaped curve.

If Y increases then the Result increases for the most part of course there could be some exceptions.

IF Z increases then the Result increases again with an exception that if Z becomes like 50 meters then the probability of achieving that high Result (meters) is very low.

How do I put together an equation that consists of X, Y, Z to achieve the Result. Should I assume a correlation coefficient and then try to fit an equation. I have no clue about this.

Any help is greatly appreciated.

Thanks.