curve fitting with more then two independent variables
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Hi I had a question about curve fitting,my Costume equation is f(x)=(a+b*x*z)/(1+c*x),the tricky point here is that z is not unknown it is a vector same size as x and just a b c are unknown constants,how is the solution?
Miroslav Balda on 26 Feb 2013
If the regression function is in right MATLAB notation
f(x) = (a+b*x.*z)./(1+c*x) % see dots between x and z and before /!,
the coefficients a, b and c may be found by the application of the function LMFnlsq from File Exchange, see
for a nonlinear regression. The problem may be tranformed into linear one in unknown coefficients:
f(x).*(1+c*x) = a+b*x.*z
The solution of this problem by a linear regression, a0, b0, c0 can serve as a good initial guess for the nonlinear regression of the original nonlinear problem.
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