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Pearson Correlation

Measure linear association between paired numeric observations.

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Local calculations. Results are estimates, not professional advice.

Pearson r

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Correlation measures linear association and does not establish causation.

Formula

r=Σ(x−x̄)(y−ȳ)/√(Σ(x−x̄)²Σ(y−ȳ)²)

Measure linear association between paired numeric observations.

Worked example

x observations
1, 2, 3, 4, 5
y observations
2, 4, 6, 8, 10
Pearson r
1
Sample covariance
5
Paired observations
5

Scope and limitations

Correlation measures linear association and does not establish causation.

Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.

Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.

Formula version: 31a062c93d60 · Example checked:

Methodology

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