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Statistics
Correlation Coefficient Calculator
Calculate the Pearson correlation coefficient (r) and R-squared from summary statistics to measure the linear relationship between two variables.

Correlation Coefficient Calculator

Calculate the Pearson correlation coefficient (r) to measure the strength and direction of the linear relationship between two variables. Also computes R-squared and tests for significance.

The Pearson correlation coefficient (r) ranges from -1 to +1.

Formula: r = (nΣxy - ΣxΣy) / √[(nΣx² - (Σx)²)(nΣy² - (Σy)²)]

Interpretation:

  • r = +1: Perfect positive linear relationship
  • r = -1: Perfect negative linear relationship
  • r = 0: No linear relationship
  • |r| > 0.7: Strong correlation
  • |r| 0.3-0.7: Moderate correlation
  • |r| < 0.3: Weak correlation

Important: Correlation does not imply causation.

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