Fit data in multiple dimensions.

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Alta
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I have a bunch of data x1, x2, x3, ... x49, z. I need a function f(x1, x2,... x49)=z. Does anyone have suggestions for a method that they have used before or key words to google?
 
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This could be a tricky problem... try googling "system identification" or "multiple regression" maybe?

-Kerry