Correlation Coefficient Calculator
Pearson r for two data sets.
Enter your values
ⓘ Live results
Results
- Correlation r
- 0.91652
- R squared
- 0.84
- Strength
- strong positive
- Sample size
- 6
- Variance explained
- 84%
Quick answer
Pearson's r ranges from −1 to +1, measuring how closely two variables move together in a straight line.
r = Σ(x−x̄)(y−ȳ) / √(Σ(x−x̄)²Σ(y−ȳ)²)
How to use the Correlation Coefficient Calculator
- 1Paste your X values separated by commas.
- 2Paste matching Y values in the same order.
- 3Read r and R².
Worked example
Using the values the calculator loads with:
Inputs
- X values1, 2, 3, 4, 5, 6
- Y values2, 4, 5, 4, 6, 8
Results
- Correlation r0.91652
- R squared0.84
- Strengthstrong positive
- Sample size6
- Variance explained84%
Frequently asked questions
Does correlation prove causation?
No — a third variable or coincidence can produce a strong r.
What is R squared?
The share of variance in Y explained by a linear fit on X.
About this calculator
- Built and reviewed by James Whitfield · How we build and test calculators
- Report an error
Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.