The following bivariate data set contains an outlier. x y 17.8 -175 26.8 356.7 33.9 353.1 32.2 23.5 36.9 250.8 15.2 163.8 28.3 180 10.8 -548.2 24.5 146.7 12.6 -55.8 47.8 78.4 15.6 305.7 17.4 253.6 16.9 -287.6 158.8 3071.4 What is the correlation coefficient with the outlier? rw =  What is the correlation coefficient without the outlier? rwo =  Would inclusion of the outlier change the evidence for or against a significant linear correlation? No. Including the outlier does not change the evidence regarding a linear correlation. Yes. Including the outlier changes the evidence regarding a linear correlation.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The following bivariate data set contains an outlier.

x y
17.8 -175
26.8 356.7
33.9 353.1
32.2 23.5
36.9 250.8
15.2 163.8
28.3 180
10.8 -548.2
24.5 146.7
12.6 -55.8
47.8 78.4
15.6 305.7
17.4 253.6
16.9 -287.6
158.8 3071.4


What is the correlation coefficient with the outlier?
rw = 

What is the correlation coefficient without the outlier?
rwo = 

Would inclusion of the outlier change the evidence for or against a significant linear correlation?

  • No. Including the outlier does not change the evidence regarding a linear correlation.
  • Yes. Including the outlier changes the evidence regarding a linear correlation.



Question for thought: Would you always draw the same conclusion with the addition of an outlier?

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