Aisha K.
Mar 12, 2026
Clean layout and the results update instantly. Exactly what I needed for a quick planning check.
Statistics, Probability & Advanced Math
How to Calculate Correlation Coefficient
Instant math result
Pearson’s correlation standardizes covariance by the product of standard deviations. Enter those summaries to estimate r between two variables.
Inputs
-100000100000
0.0110000
0.0110000
Smart analysis
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Plain-English guide
Terms & how it works
Confused by a field? Read the short definitions here while you use the tool.
Covariance
The “Covariance” value used in this tool’s formula. Adjust it to see results update live.
SD of X
The “SD of X” value used in this tool’s formula. Adjust it to see results update live.
SD of Y
The “SD of Y” value used in this tool’s formula. Adjust it to see results update live.
- r
Correlation
Ranges from −1 to +1.
When to use this Correlation Coefficient
Common use cases
- Check homework results with transparent formulas
- Estimate probability for common distributions
- Convert between related statistical measures quickly
Localized examples
- Classroom and exam-prep workflows
- Business analytics back-of-envelope checks
What you get
- Formula-backed outputs with clear labels
- Step-friendly defaults for learning
- Free online calculator — no sign up
How to Calculate Correlation Coefficient Step-by-Step
- 1Enter covariance of X and Y.
- 2Enter standard deviations of X and Y.
- 3Review correlation r and association strength.
Governing formula
r = Σ((x−x̄)(y−ȳ)) / (√Σ(x−x̄)² √Σ(y−ȳ)²)
Pearson correlation measuring linear association between paired values.
Example: set Covariance = 12, SD of X = 4, SD of Y = 5, then read the result.
Variable definitions
- r
Correlation
Ranges from −1 to +1.
- Correlation ≠ causation.
Frequently Asked Questions
From −1 to +1 for real-valued Pearson correlation.
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4.8
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Daniel R.
Feb 28, 2026
Very usable on mobile. Would love a save/export option later, but the math feels solid.
Priya S.
Feb 3, 2026
The FAQ section answered my questions before I even had to search. Smooth dark mode too.
Marcus L.
Jan 19, 2026
Simple inputs, clear outputs. This replaced three bookmarks I used to juggle.
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