Implementations of regression algorithms in C#

This repository will ultimately contain implementations of the three most common regression algorithms in C#: simple, multivariate and quadratic.

Simple linear regression

Currently, only simple linear regression has been implemented, about which more information you can find here. For this implementation the Ordinary Least Squares (OLS) method is used.

Formulas

Best fit line:

$\hat{y}_i=b_0+b_1x_i$

Intercept/bias:

$b_0=\bar{y}-b_1\bar{x}$

Slope/weight:

$b_1=\frac{\sum_{i=1}^{n}(x_i-\bar{x})(y_i-\bar{y})}{\sum_{i=1}^{n}(x_i-\bar{x})^2}$

Mean Squared Error (MSE):

$\sum_{i=1}^{D}(x_i-y_i)^2$