Multivariate Polynomial Regression in Excel

athanasioskolios

New Member
Joined
Feb 8, 2010
Messages
2
Hi All,

I am trying to do multivariate polynomial regression in excel, trying to correlate data of the form y=f(x1,x2) with second order polynomials:
Y = c + a1*x1 + a2*x1^2 + a3^x1^3 + b1*x2 + b2*x2^2 + b3*x2^3

Using the following command, I have achieved this:
=LINEST(A2:A10,B2:B10^{1,2,3,0,0,0}*C2:C10^{0,0,0, 1,2,3},TRUE,TRUE)

Can anybody tell me the theory Excel uses for this kind of regression?

Thank you very much in advance!

athanasioskolios
 

Excel Facts

Using Function Arguments with nested formulas
If writing INDEX in Func. Arguments, type MATCH(. Use the mouse to click inside MATCH in the formula bar. Dialog switches to MATCH.
Thanks a lot Hamburgler,

What I am trying to find is what kind of formulas is Excel using behind this formula.

Any thoughts?

athanasioskolios
 
Upvote 0
Hi athanasioskolios,

You can also try IVDfit for this type of regression, it is a low-cost excel Add-in that

can do 4PL, 5PL and polynomial regression. You can enter your own formula and it will calculate the parameters.

You can download a free trial at www.ivdtools.com
 
Upvote 0
Try any book on numerical analysis. Its a lot of work to set up a sheet to do this manually.
 
Upvote 0

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