Correlation Calculator

Enter paired X and Y data to compute the Pearson correlation coefficient.

Pearson Correlation (r)
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r² (Coefficient of Determination)
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Interpretation
Number of Pairs
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Direction

Summary Statistics

Pearson Correlation Coefficient

r = Σ((xi - x̄)(yi - ȳ)) / sqrt(Σ(xi - x̄)² × Σ(yi - ȳ)²)

Interpreting r Values

  • |r| = 1.0: Perfect linear relationship
  • 0.7 ≤ |r| < 1.0: Strong correlation
  • 0.4 ≤ |r| < 0.7: Moderate correlation
  • 0.2 ≤ |r| < 0.4: Weak correlation
  • |r| < 0.2: Very weak or no correlation

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