The process of fitting a GOOD curve through the data received is a necessary process in numerical method.

Curve fitting:

Fitting a ‘good’ curve through a given set of data points is a very important numerical method. It is often better to fit a smooth function passing through most of the data points as the fit may be better than an interpolating polynomial. A smooth fit may eliminate some of the random errors of the experimental data. Let the fitting function be called F(x). The fitting function could be a polynomial such as