In: Statistics and Probability
The following bivariate data set contains an outlier.
| x | y | 
|---|---|
| 12.9 | 79.8 | 
| 51.9 | 77.6 | 
| 26.3 | 66.5 | 
| -5.1 | 82.9 | 
| 47 | 65.4 | 
| 19.7 | 75.9 | 
| 16.7 | 78.4 | 
| 2.1 | 77.1 | 
| 21.5 | 74.5 | 
| 46.2 | 57.3 | 
| 35.1 | 65.4 | 
| 83.5 | 38.9 | 
| 51.1 | 61.7 | 
| 15.2 | 89.3 | 
| 349.3 | 240.5 | 
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 at 5% significance?
Would you always draw the same conclusion with the addition of an outlier?
Explain your answer.