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Correlation Coefficient Calculator

Calculate Pearson correlation for paired observations.

InputsChange a value to recalculate instantly
ResultUpdates as you type
Pearson r0.98
Covariance numerator9.5
Sample size4
How it worksTransparent math
Formular=Sxy/√(SxxSyy)

Pearson correlation measures the strength and direction of linear association. It is undefined when either variable has zero variance.

Result breakdownSee the important numbers together
1Pearson r0.98
2Covariance numerator9.5
3Sample size4
λ DooMathWork with this calculation
Local · deterministic · optional
auto_awesome
Quick mathNatural-language-style shortcuts for deterministic arithmetic.
Calculator guide

How to use the Correlation Coefficient Calculator

Calculate Pearson correlation for paired observations.

01Set inputsChoose values, units and assumptions.
02Apply the modelr = cov(x,y)/(σxσy)
03Read the resultCheck the output against the assumptions before using it.
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What this calculator does

Calculate Pearson correlation for paired observations.

functions

Formula & method

r = cov(x,y)/(σxσy)

fact_check

Assumptions & notes

Review the inputs, units and assumptions before using the result for a real decision.