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I haven't the slightest idea of JMP, nor do I know the nature of the data, but I am pretty good at making programs that model data. Since you say regression I assume you are given a list of points, each point with four elements: Pi=xi,yi,zi,ri.
So ri ~ f(xi,yi,zi), what is f(x,y,z)?
Given f(x,y,z) isn't too complex I can make a simple algorithm that gives you the constants of your equation.
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