Correlation Calculator
Calculate Pearson's correlation coefficient (r) for four data pairs. Measures linear relationship strength from −1 to +1.
How to Use the Correlation Calculator
- Enter four pairs of (x, y) data values.
- Click Calculate to see Pearson's r and R².
- The strength indicator shows weak, moderate, or strong.
Referência Rápida
| De | Para |
|---|---|
| |r| > 0.7 | Strong correlation |
| 0.3 < |r| ≤ 0.7 | Moderate correlation |
| |r| ≤ 0.3 | Weak correlation |
| r = 1 | Perfect positive |
| r = −1 | Perfect negative |
Casos de Uso
- •Analyzing the relationship between two variables in research.
- •Measuring stock return correlations for portfolio diversification.
- •Testing hypotheses about linear relationships in data.
Fórmula
r = Σ(xᵢ − x̄)(yᵢ − ȳ) / √[Σ(xᵢ − x̄)² × Σ(yᵢ − ȳ)²]. Range: −1 ≤ r ≤ 1.
Perguntas Frequentes
What does r mean?
r = +1 means perfect positive correlation, r = −1 perfect negative, and r = 0 no linear correlation.
What is R²?
The coefficient of determination (r²) tells what fraction of Y's variance is explained by X.
Does correlation imply causation?
No. Correlation measures association, not cause and effect.