Least squares fit/line fit for 3D data

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Wes Anderson
Wes Anderson 2019-12-4
编辑： Matt J 2019-12-4
I have 3D data that I'd like to get a least squares fit from. Once I have this fit with an equation, I'd like to transform new data with it...so I need the code and to understand where to plug the new data into whatever equation comes from it. Can anyone help? Much appreciated.
Thanks

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回答（1 个）

Star Strider
Star Strider 2019-12-4
For a linear regression, this is straightforward:
B = [x(:) y(:) ones(size(x(:)))] \ z(:); % Linear Parameters
z_fit = [x(:) y(:) ones(size(x(:)))] * B; % Fitted ‘z’
For a nonlinear regression, we would need sto see your model.
  1 个评论
Matt J
Matt J 2019-12-4
编辑：Matt J 2019-12-4
This looks like a plane fit to me. A 3D line fit would result in 2 algebraic equations.
Also, the fit looks like it assumes no errors in x and y.

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