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

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

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Answer 1 · 2015-10-26T16:22:35

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

Explanation:

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

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

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

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

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

1 Answer

Explanation:

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