# What is the least squares regression model for the following data points?: (1,3), (2,6), (3,19), (2,7), (8,9), (10,25)

Oct 13, 2015

$y = 1 , 5721 x + 4 , 6875$

#### Explanation:

Essentially the least squares method places the best possible straight line fit through a given data set.

We may use a calculator in stat mode and enter all these data points and the calculator will output the gradient and y-intercept of the corresponding least squares line.

Doing so, I obtain :

Graphically, the least squares line, $y = 1 , 5721 x + 4 , 6875$ looks as follows