A statistician asks whether the correlation coefficient r is resistant to outliers.
Which statement is correct?
- A
r is fully resistant to outliers
- B
r equals zero whenever outliers exist
- C
r increases when outliers are removed
- Dcheck_circle
r is NOT resistant; outliers can substantially change r
Explanation
Pearson's r uses means and SDs, both nonresistant; a single outlier can change r dramatically.