To fit power law

I want to fit power law on my data (Data attached here - Data.txt file). I have the following code:

    A=load('Data.txt')
    ft=fittype(@(m,b,x)b*x.^m);
    f = fit(A(:,1),A(:,2),ft)
    figure
    plot(f,':g',A(:,1),A(:,2),':b')

But this is not fitting my data with the power law. Could you please check what is the problem? I guess, my data is not starting from zero. I think, I have to normalize it(I am not sure). When I use fitoptions to normalize, it is not working!

I tried to fit by taking log on both sides because y=A*x^m log(y)=log(A)+m*log(x)

    ft=fittype(@(a,m,x)log(a)+m*log(x));
    [f gof] = fit(A(:,1),log(A(:,2)),ft)

still it is giving the wrong fit!!! just a horizontal straight line! Please help me.

Answer 1

[Miroslav Balda]

If you plot the given vectors by the statement semilogy(A(:,1),A(:,2),':o'),you observe that the pure power function does not fit well the measured data, because the plotted points are not on a straight line (in semilogy axes). It would need more complicated function. Mira