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# 4th order polynomial fit with two variables

I have a parameter (let's call it power) with x y coordinates. Now I need to do a 4th order polynomial fit for power, with x and y, equation should includes below terms:

x, y, x^2, x*y, y^2, x^3, x^2*y, x*y^2, y^3, x^4, x^3*y, x^2*y^2, x*y^3, y^4

Is there a function in SAS doing this? I saw some examples about doing polynomial prediction in SAS online, but they usually only fit y = f(x).

Thanks,

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Solution
a month ago
Posts: 3,061

## Re: 4th order polynomial fit with two variables

PROC GLM will do this

You need to write x^2 as x*x and x*y^3 as x*y*y*y and so on

--
Paige Miller

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Solution
a month ago
Posts: 3,061

## Re: 4th order polynomial fit with two variables

PROC GLM will do this

You need to write x^2 as x*x and x*y^3 as x*y*y*y and so on

--
Paige Miller
Contributor
Posts: 36

## Re: 4th order polynomial fit with two variables

thanks, i got the predicted result and residual in result, how can I add them directly into the original table as two new column?
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Posts: 36