Pearson Correlation Coefficient Calculator with P-Value
Calculate linear correlation and statistical significance with separate X and Y inputs
Input Data
Enter values for X and Y in the fields below. Separate values with commas or spaces. Ensure both fields have the same number of values.
Example:
X: 2, 4, 6, 8, 10
Y: 50, 60, 75, 85, 90
Y: 50, 60, 75, 85, 90
How It Works
The calculator uses the Pearson Correlation Coefficient formula:
r = Σ(xᵢ – x̄)(yᵢ – ȳ) / √[Σ(xᵢ – x̄)² × Σ(yᵢ – ȳ)²]
It also calculates the p-value using a t-test to assess the statistical significance of the correlation, similar to SPSS output.
Note: Ensure data is continuous, normally distributed, and linearly related. Outliers may affect results.
Understanding Correlation Values
Guide to interpreting Pearson Correlation Coefficient ranges and their significance
| Correlation Range | Strength | Interpretation |
|---|---|---|
| 0.90 to 1.00 (or -0.90 to -1.00) | Very Strong | Very high correlation; very dependable relationship |
| 0.70 to 0.90 (or -0.70 to -0.90) | Strong | High correlation; marked relationship |
| 0.50 to 0.70 (or -0.50 to -0.70) | Moderate | Moderate correlation; substantial relationship |
| 0.30 to 0.50 (or -0.30 to -0.50) | Low | Low correlation; definite but small relationship |
| 0.00 to 0.30 (or 0.00 to -0.30) | Negligible | Little or no correlation; almost no relationship |