3D Planar Multiple Linear Regression?

fraizerangus has asked for the wisdom of the Perl Monks concerning the following question:

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Re: 3D Planar Multiple Linear Regression? by LanX (Saint) on May 15, 2011 at 18:10 UTC
Googling for you shows some results: cpan linear regression And the first hit even has the words "plane fitting" in it. So if they don't work, then you should be more explicit about the "why" and the "what". Cheers Rolf	[reply]
Re: 3D Planar Multiple Linear Regression? by BrowserUk (Patriarch) on May 15, 2011 at 21:18 UTC
If you know that your plane will be close to horizontal (or can be reliably pre-transformed to make it so), then the Hough transform is a viably efficient approach. If you gave a description of how the points are gathered, or could post a (not too large) 'typical' dataset, then you might get better leads. But the more generalised an approach you need--ie. the less pre-constraints you can impose on the problem--the harder it is to solve efficiently. A fully generalised solution can be prohibitively expensive. Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error. "Science is about questioning the status quo. Questioning authority". In the absence of evidence, opinion is indistinguishable from prejudice.	[reply]
Re: 3D Planar Multiple Linear Regression? by ambrus (Abbot) on May 15, 2011 at 22:27 UTC
You may try to use Math::GSL::Multifit which is a wrapper over the multi-dimensional least square fitting functions in GSL. You need the linear fit functions of course.	[reply]
Re: 3D Planar Multiple Linear Regression? by anonymized user 468275 (Curate) on May 16, 2011 at 14:26 UTC
Statistics::Regression includes plane fitting capability. One world, one people	[reply]
Re^2: 3D Planar Multiple Linear Regression? by Anonymous Monk on May 16, 2011 at 14:46 UTC
Thanks Folks! I can't get my head round Statistics::Regression, can you simply input 3D cartesian co-ordinates and output an equation for the plane? Does anyone have an example please?	[reply]
Re^3: 3D Planar Multiple Linear Regression? by anonymized user 468275 (Curate) on May 16, 2011 at 15:35 UTC
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 One world, one people	[reply]
Re^4: 3D Planar Multiple Linear Regression? by Anonymous Monk on May 17, 2011 at 20:47 UTC
Re^5: 3D Planar Multiple Linear Regression? by anonymized user 468275 (Curate) on May 19, 2011 at 12:09 UTC


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