Can Pearson's Correlation Coefficient be used with non-linear relationships?

  • No, never
  • Yes, always
  • Yes, but it may not provide meaningful results
  • Yes, but only if the relationship is monotonic
While you can technically compute a Pearson correlation coefficient for non-linear relationships, it may not provide meaningful results. The Pearson correlation measures the degree of a linear relationship between variables, and does not fully capture the dynamics of a non-linear relationship. In such cases, Spearman's rank correlation or other non-parametric correlations may be more appropriate.
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