Math

Free Correlation Coefficient Calculator

Pearson's r between two paired data sets.

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Inputs

Result

Correlation coefficient (r)

0.9879

Strong positive correlation

R² (coefficient of determination)0.9759

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Short answer

Pearson's r between two paired data sets.

What is the Correlation Coefficient Calculator?

Pearson's r between two paired data sets.

How does the Correlation Coefficient Calculator work?

Enter the inputs above and read the result.

Formula

r = Σ(x−x̄)(y−ȳ) ÷ √(Σ(x−x̄)²Σ(y−ȳ)²)

Variables

  • rPearson correlation, from −1 to 1

Explanation

r near ±1 indicates a strong linear relationship; near 0 indicates little linear association.

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            Related concepts

            The Correlation Coefficient Calculator sits inside the Math Calculators hub, in the statistics & probability cluster. Describing data and quantifying uncertainty. Understanding the terms below makes the output easier to interpret and easier to compare against neighbouring measures.

            distributiondispersionsignificancesamplepopulationexpected value

            Practical use cases and industry applications

            Understanding Correlation Coefficient

            Pearson's r between two paired data sets. Within math calculators, correlation coefficient belongs to the statistics & probability cluster, where it shares terminology and assumptions with closely related tools.

            Learning how correlation coefficient is calculated

            r near ±1 indicates a strong linear relationship; near 0 indicates little linear association. Working through the variables one at a time — r — makes the result reproducible by hand and easier to sanity-check.

            Using correlation coefficient to make a decision

            Because outputs depend on the assumptions you enter, run more than one scenario before committing to a figure.

            How correlation coefficient compares with related measures

            distribution, dispersion, significance, sample all describe adjacent aspects of statistics & probability. Comparing this calculator's output against those measures — using the related tools listed on this page — prevents a single metric from being read in isolation.

            Frequently asked questions

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