Poly11: "Warning: Equation is badly conditioned. Remove repeated data points or try centering and scaling."

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Hi All,
I have the below code running on MATLAB which produces the warning message (also shown below). I am trying to figure out what why the warning message is appering.
My guess is that since the values i use for my fit are similar I get the message but I want to be sure that nothing is going wrong.
I am trying to fully understand things.
Thanks
%INPUT
xy = [3154384.896 1719923.63; 3155030.31 1719242.07; 3155498.37 1719245.31];
z =
1.0e+03 *
5.121466000000001
5.126727000000000
5.126100000000000
R = fit(xy, z, 'poly11') % 'polly11' fit = fit linear polynomial surface. For more info visit: https://www.mathworks.com/help/curvefit/fit.html
coeffs = coeffvalues(R)
Slopex = coeffs(2) %extract slope x
Slopey = coeffs(3) %extract slope y
%OUTPUT
Warning: Equation is badly conditioned. Remove repeated data points or try centering and scaling.
> In curvefit.attention.Warning/throw (line 30)
In fit>iLinearFit (line 672)
In fit>iFit (line 383)
In fit (line 108)
Linear model Poly11:
R(x,y) = p00 + p10*x + p01*y
Coefficients:
p00 = 2.451e+04
p10 = -0.001278
p01 = -0.008929
coeffs =
1.0e+04 *
2.450931465568791 -0.000000127776324 -0.000000892905436

采纳的回答

Walter Roberson
Walter Roberson 2019-2-21
The problem is not in the z: the problem is in the y values being very similar.
Your fit can be rewritten as
p = [ones(3,1), xy] \ z
and for that the sensitivity can be estimated by cond([ones(3,1),xy]) which comes out about 1E11 .

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