Correlation Coefficient Calculator

Calculate the Pearson correlation coefficient (r) to measure linear relationship between two variables.

Correlation (r)
r² (Coefficient)
Relationship

Pearson Correlation Coefficient

r = Σ[(xᵢ − x̄)(yᵢ − ȳ)] / √[Σ(xᵢ − x̄)² × Σ(yᵢ − ȳ)²]

Interpreting r Values

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