MATLAB: Curve fitting a power law function a(x^b) + C

curve fittingMATLABpower law

Greetings. I have been trying to fit a power law function through a data set through: p = polyfit(log(x),log(y),1) This gives me the values for coefficient a and b, but I cannot figure out how to get c. Any help or advice would be greatly appreciated. Thanks.

Best Answer

Use lsqcurvefit.

Best wishes

Torsten.

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MATLAB: Least squares equation fit help

I don't have the Curve Fitting Toolbox, but if you also have the Statistics Toolbox, then my answer and example in this question may help you:

http://www.mathworks.com/matlabcentral/answers/23355-non-linear-least-squares-regression

MATLAB: Ampere’s Law

You may not have the definition of it that you need.

Try this:

mu0 = pi*4E-7;                                      % Ref: https://en.wikipedia.org/wiki/Vacuum_permeability
AmpereB = @(m0u,I,r) (mu0.*I)./(2*pi*r);            % µₒ = Magnetic Constant, I = Current (A), r = radius (m), Ref: https://en.wikipedia.org/wiki/Amp%C3%A8re%27s_circuital_law
radius = linspace(1E-3, 1);
I = 1;
figure(1)
semilogy(radius, AmpereB(mu0,I,radius))
grid
xlabel('r (m)')
ylabel('B')

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