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I want to improve myself in data fitting in order to derive new equations for the data from experimental results and/or performance analysis. I am an engineering researcher and since I found some out-of-world formulations derived from performance data, I need to learn this advanced data fitting (or whatever its name is) discipline.

Please guide me to the exact field name and/or books to achieve this skill. I guess that this is not just Math but also Physics so that one could put the relationship between the input data and/or dimensionless quantities.

For example: How come one could derive this formulation for the correction factor data (LMTD heat exchanger) as shown below:

Here is the formulation/expression:

For the graph:

Thank you in advance.

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# A Advanced Data Fitting - More than Simple Regressions

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