Statistics

Pearson Correlation

What is the Pearson Correlation?

Linear association between variables

This formula is widely used in statistics applications. Understanding when and how to apply it helps you interpret calculator results correctly and catch input errors before they propagate.

Formula

r = cov(x,y) / (sx * sy)

Substitute known values into the formula above. Ensure all variables use consistent units before calculating.

Worked Example

r ranges from -1 to +1

Use the linked calculator below to try your own values and see step-by-step working.

When to Use This Formula

Apply the Pearson Correlation when you need to linear association between variables. It is a standard reference in statistics coursework, professional practice, and our linked calculators.

Tips & Common Mistakes

  • Confirm whether you need sample or population formulas.
  • Report spread measures alongside averages.
  • Always verify critical results independently for engineering, medical, or legal applications.

Further Reading

Browse the Formula Library for related formulas, or read educational articles on our Blog.