# Ordinary Least Squares Regression

Ordinary Least Squares Regression:

Ordinary least squares regression is a special (and the most common) kind of ordinary linear regression . It is based on the least squares method of finding regression parameters.

Technically, the aim of ordinary least squares regression is to find out those values [^a] and [^b] of parameters a (“intercept”) and b (“slope”) in the simple linear regression model

 yi = a + b xi;   i = 1,…,N

that minimize the sum of squares of residuals:

 N ï¿½ i=1 (yi – ^ a – ^ b xi )2

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