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Pearson Correlation Calculator

Measure linear association in paired observations. Both series need equal length and nonzero variance; correlation does not establish causation.

Enter your values

Separate numbers with spaces or semicolons; use a decimal point.
Separate numbers with spaces or semicolons; use a decimal point.
Example result
Result
0.77459667

The initial result uses the example values. Enter your own values and calculate again.

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How it works

Measure linear association in paired observations. Both series need equal length and nonzero variance; correlation does not establish causation.

Inputs and units
Pearson Correlation Calculator · Inputs and units
InputExample valueWhat to enter
First series1 2 3 4 5Separate numbers with spaces or semicolons; use a decimal point.
Second series2 4 5 4 5Separate numbers with spaces or semicolons; use a decimal point.
r = Σ[(x−x̄)(y−ȳ)] / √[Σ(x−x̄)²Σ(y−ȳ)²]

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

First series
1 2 3 4 5
Second series
2 4 5 4 5

Complete example results

Result
0.77459667

Reading the result

Keep the list to one kind of measurement. Outliers can affect the mean; sample and population formulas use different denominators. The tool applies its stated method and does not establish the quality of your data.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Methods & accuracy

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