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

1 Answer
Trevor Ryan.
Oct 26, 2015

#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.

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