Fit data sets for 3 different temperature

Hello everyone,

I have X and Y values (array) at 3 different known temperatures. I want to fit them into this function:

ln (Y)=ln(X)+1/T*(a0+a1*N+a2*N^2+a3*N^3+a4*N^4+a5*N^5+...)+b0+b1*N+b2*N^2+b3*N^3+b4*N^4+b5*N^5+...

T is the three different known temperatures. And a0 a1 a2... b0 b1 b2 are the constant parameters that I want to find

Could anyone help me?

I tried but failed :(

[Dat Pham]

Here is the data set. I could not manage to have a good fit.

Answer 1

[Nick Hobbs]

If you only need to fit an equation to a dataset, you may be interested in the function FIT from the Curve Fitting Toolbox. The example in the documentation for a custom model may be of particular interest to you. You could use your equation in the same way as the custom model and try to have FIT find the values for your function.