Question

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

Answer 1

`y=0,0192x+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=0,0192x+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.