# Least Squares Regression

## Overview

The topic of this lesson is *least squares regression*
(LSR). We will use a rather unusual approach to the method, which does
not require any knowledge of statistics and uses only simple
mathematics.
The object of LSR is to establish a relation between two sets of
variables (typically x and y). This relation can for instance be used
in the future to predict y when x is known, or it can be used to
determine constants in a physical/chemical relation.

In this example we will use a dataset with only one x- and
y-variable. The relation between x and y will typically be a linear
one, the simplest example is:

*y=a+bx*

, where *a* and *b* are
constants.