Correlation Coefficient Calculator
Pearson Correlation
r ranges from -1 (perfect negative) to +1 (perfect positive)
• |r| < 0.3: Weak
• 0.3 ≤ |r| < 0.7: Moderate
• |r| ≥ 0.7: Strong
About This Calculator
Use the correlation coefficient calculator when you want faster calculations with a clear method behind every result.
Quantify linear relationship strength between two variables to support exploratory analysis and model diagnostics.
If your workflow expands, pair this calculator with Linear Regression Calculator and Standard Deviation Calculator to cross-check assumptions and build a stronger analysis chain.
Formula
Pearson r = cov(X, Y) / (sigma_X * sigma_Y)
Example Calculation
The worked example below demonstrates how the input fields translate into the final output. Use it as a quick validation pass before entering your own numbers.
- xValues: 1, 2, 3, 4, 5
- yValues: 2, 4, 5, 4, 5
Explanation of Results
Result Interpretation
A coefficient near 0.83 indicates a strong positive linear association between the two series.
FAQ
Does high correlation imply causation?
No. Correlation measures association, not causal direction or mechanism.
What if relationship is nonlinear?
Pearson correlation can understate nonlinear patterns; inspect plots or nonlinear metrics as needed.
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See Also
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