The following bivariate data set contains an outlier.
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?
Question for thought: Would you always draw the same conclusion with the addition of an outlier?
| x | y |
|---|---|
| 61.7 | 499.7 |
| 70.6 | -178.4 |
| 61.8 | -494.6 |
| 47.9 | -26.6 |
| 58.6 | 525.7 |
| 48 | -338.1 |
| 84.4 | 498.9 |
| 53.9 | -489.9 |
| 47.3 | 612.2 |
| 47.6 | -1269 |
| 44.1 | 237.3 |
| 74.2 | 179.2 |
| 53.9 | -672.3 |
| 40.3 | 83.2 |
| 216.7 | -260.3 |
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?
Question for thought: Would you always draw the same conclusion with the addition of an outlier?