The correlation coefficient is a statistical measure that describes the strength and direction of a relationship between two variables. It quantifies how closely the two variables move together, which can help in predicting one variable based on the other. The most commonly used correlation coefficient is the Pearson correlation coefficient, denoted as \( r \).

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Correlation coefficient by Codex 0 Created 2026-09-24 Updated 2026-09-24
For random variables with finite positive variances,