Curve Fitting

Curve fitting is the process of constructing a mathematical function/model with the best fit to a series of data points.

Curve Fitting to Model Data Points

In the Modeling Process training phase, curve fitting relates to model data points overfitting, underfitting and bias-variance tradeoff:

The illustrated example below shows four polynomial curves fitted to sine function data points:

$f\left ( x \right )=ax+b$

$f\left ( x \right )=ax^{2}+bx+c$

$f\left ( x \right )=ax^{3}+bx^{2}+cx+d$

$f\left ( x \right )=ax^{4}+bx^{3}+cx^{2}+dx+e$