Correlation Coefficient Calculator

Calculate the Pearson correlation coefficient between two sets of data. Free, secure, and works directly in your browser with no registration required.

Data Input

Note: Both datasets must have the same number of values.

Results

Enter data and click "Calculate Correlation" to see results.

Scatter Plot

About Correlation Coefficient

Interpretation:

  • r = 1: Perfect positive correlation
  • r > 0.7: Strong positive correlation
  • 0.3 < r < 0.7: Moderate positive correlation
  • 0 < r < 0.3: Weak positive correlation
  • r = 0: No correlation
  • -0.3 < r < 0: Weak negative correlation
  • -0.7 < r < -0.3: Moderate negative correlation
  • r < -0.7: Strong negative correlation
  • r = -1: Perfect negative correlation

Formula:

The Pearson correlation coefficient is calculated as:

r = Σ((x - x̄)(y - ȳ)) / √(Σ(x - x̄)² × Σ(y - ȳ)²)

Where x̄ and ȳ are the means of the x and y values, respectively.

How to use Correlation Coefficient Calculator

  1. Enter your X values into the first input field.
  2. Enter your corresponding Y values into the second input field.
  3. Click the 'Calculate' button to compute the correlation coefficient.
  4. View the resulting r-value and its interpretation on the page.

Features

  • Calculates the Pearson r coefficient for linear relationships.
  • Provides instant results with high precision.
  • Clear, step-by-step input for paired data sets.
  • Works on any device with a web browser, no installation needed.
  • Explains the strength and direction of the correlation in plain language.

Who Is This Tool For?

This tool is essential for students, researchers, and analysts who need to measure and understand the linear relationship between two quantitative variables for academic, scientific, or business purposes.

Why Calculate Correlation Coefficients?

The Pearson correlation coefficient is a fundamental statistical measure used to quantify the strength and direction of a linear relationship between two datasets. It is crucial for data analysis, hypothesis testing in research, and identifying trends in fields like finance, psychology, and the social sciences.

Frequently Asked Questions

Is this Correlation Coefficient Calculator free?

Is my data uploaded or stored?

How do I use this calculator?

What does the Pearson correlation coefficient tell me?

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