he298c
2020-11-05
Malena
Skilled2020-11-06Added 83 answers
Step 1
Let the following data be the initial dataset (without any outliers):
[x 1 2 3 4 5 y 1 3 5 7 9]
Since all points lie on the line
Let's add the point (6,2) to our initial dataset, so that the data is:
[x 1 2 3 4 5 6 y 1 3 5 7 9 2]
The outlier that we've just added clearly doesn’t belong to the line
since
Therefore, we lost the perfect relationship between the two variables, so the correlation coefficient decreased and the new correlation coefficient is
Here is the scatterplot of the given data (outlier is coloured in blue):