Weighted curve fitting with lsqnonlin
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I have the following code that do non-linear curve fiting. However i want to do weighted curve fitting so that it fits well when the value of x is above 45.
clear all
clc
x = [36.78 ,37.53 ,38.28 ,39.06 ,39.85 ,40.65 ,41.47 ,42.31,43.17 ,44.04 ,44.93 ,45.84 ,46.76 ,46.89 ,47.30 ,48.20 ];
y = [0.01 ,0.0152 ,0.023 ,0.035,0.0536 ,0.081 ,0.12 ,0.1891 ,0.287 ,0.438 ,0.66 ,1.01494 ,1.544 ,2.35,3.578 ,5.445 ];
f=0:0.2:3;
fun = @(params) [x - exp((params(2)-1)*f-1)/(params(2)-1)^2, log(y) - log(params(1)) - (params(2)+1)*f];
lb = [1e-10,-1+1e-10]; % Set lower bounds
ub = [inf,inf]; % Set upper bounds
params0 = [0.001,1.7]; % Set initial point.
options.Algorithm = 'levenberg-marquardt';
params = lsqnonlin(fun,params0,lb,ub,options)
figure(1)
plot(x,y,'ko',exp((params(2)-1)*f-1)/(params(2)-1)^2,params(1)*exp((params(2)+1)*f),'b-')
legend('Data','Best fit')
grid on
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/156177/image.gif)
Can anyone give me some information how to use weighted curve fitting with lsqnonlin. Thanks
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