How does the Pearson Correlation work?

r = Σ(xi−x̄)(yi−ȳ) / √[Σ(xi−x̄)² × Σ(yi−ȳ)²] Then: Positive r: both variables increase together Then: Negative r: one increases as the other decreases Then: r² = proportion of variance in Y explained by X.

Can you give an example of how to use the Pearson Correlation?

Example: Input r = 0.85 between height and weight gives a result of Strong positive correlation · r²=0.72 (Height explains 72% of weight variation).

Is the Pearson Correlation free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Pearson Correlation?

Our Pearson Correlation uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

What statistical method does this Pearson Correlation use?

This calculator uses industry-standard statistical formulas. For research use, always report your full methodology including sample size, confidence levels, and any assumptions made.

ریاضی

Pearson Correlation

📊Pearson Correlation Coefficient

X values (comma separated)

Y values (comma separated)

Pearson's r measures the strength and direction of the linear relationship between two continuous variables. r ranges from −1 (perfect negative) to +1 (perfect positive); r=0 means no linear relationship.

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Did You Know?

Correlation does not imply causation. Ice cream sales and drowning rates are strongly correlated — both peak in summer — but ice cream does not cause drowning.

References

›Pearson correlation coefficient — Wikipedia

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Pearson Correlation

📊Pearson Correlation Coefficient

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