Correlation Coefficient Calculator
Compute Pearson's r from paired data.
Input Data
X
Y
Results
Computed Pearson correlation coefficient.
0.853
Explanatory note about the result.
Pearson r = 0.853(−1 至 1,正相關)。
At a glance:Pearson r = Σ((x−x̄)(y−ȳ)) / √(Σ(x−x̄)²·Σ(y−ȳ)²), ranging from −1 to 1. Complements regression and mean calculators.
Formula
r = cov(x,y) / (σx·σy).
How to Use
- Enter paired X and Y values.
- The tool returns r.
Case Studies
Positive correlation data → r near 1
X and Y increase together.
FAQ
How is this different from regression?
Regression gives an equation; this gives the strength of linear correlation.
Related Tools
References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.