# What is the linear regression line of a data set with the following points: {(1,0) (13, 1) (17,0)}?

Oct 26, 2015

$y = 0 , 0192 x + 0 , 1346$

#### Explanation:

Entering these values into a calculator in linear regression stat mode we get :

Gradient or slope : $b = 0 , 0192$
Y-intercept : $a = 0 , 1346$

Therefore the least squares linear regression line that best approximates this data is $y = 0 , 0192 x + 0 , 1346$

Note that the coefficient of correlation $r = 0 , 277$ which is far from 1 so hence a linear fir is not a good approximation for the given data points.