Linear regression

Linear regression is the special case of polynomial regression where the degree of the polynomial is 1. Therefore we are restricted to the modelling paradigm of

$$f(x) = c_0 + \sum_{i=1}^n c_{i} x_i$$

where $x = (x_1, x_2, \ldots, x_n) \in A$.

Whilst the may seem more restrictive than polynomial regression with a mutation of the input space linear regression is just as flexible.