Question: The Fitting Procedure

The Fitting Procedure

The data are T,CP,H and S. I need to determine a polynomial with seven Coefficients.

The essential input to the fitting procedure is a table of specific heat, enthalpy, and entropy as a function of temperature. 

The constrained linear least-squares fitting procedure is a three-stage process. The first step is to determine simultaneously a1, through a5 for temperature ranges by fitting the specific heats to Eq. (1).

 The second step is to determine a6 for temperature ranges by fitting the H data. In this state, a1-a5 are held fixed, and as in the cp fitting, equality constraints on the fit and its first derivative are imposed at the common temperature. Finally, the a7 coefficients are determined by fitting the entropy (S) data.



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