### Re^3: 3D Planar Multiple Linear Regression?

by SimonClinch (Deacon)
 on May 16, 2011 at 15:35 UTC ( #905106=note: print w/replies, xml ) Need Help??

in reply to Re^2: 3D Planar Multiple Linear Regression?
in thread 3D Planar Multiple Linear Regression?

I have to admit the documentation doesn't tell you how to do what the module claims. Statistics::LineFit, on the other hand, does have the least squares methods required to extend a line of regression analysis into 3D, provided you can cope with the required matrix iterations, see http://www.weibull.com/DOEWeb/estimating_regression_models_using_least_squares.htm

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Re^4: 3D Planar Multiple Linear Regression?
by Anonymous Monk on May 17, 2011 at 20:47 UTC
It looks promising?

But can this be done with 3D cartesian co-ordinates?

If so which method outputs the equation of the plane?

You use the regress() method for each least squares fit required by the algoritm. In essence, given three lines of regression from each plane in the model, you treat those as equations and use a matrix approach to solving them as simultaneous equations to produce the resulting plane (PM supersearch for "zentara" and "solving matrices" for a more detailed explanation of that sub-algorithm) - there isn't a method that does the whole algorithm for you.

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