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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

  1. Enter paired X and Y values.
  2. 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.

Found a problem with the results?

If this calculator's result is wrong, or you have any question about the calculation logic, please let us know. You are viewing:Correlation Coefficient Calculator(/statistics/correlation)。