Correlation Coefficient Calculator
Calculate the Pearson correlation coefficient (r) to measure the strength and direction of the linear relationship between two variables. Also computes R-squared and tests for significance.
The Pearson correlation coefficient (r) ranges from -1 to +1.
Formula: r = (nΣxy - ΣxΣy) / √[(nΣx² - (Σx)²)(nΣy² - (Σy)²)]
Interpretation
- r = +1: Perfect positive linear relationship
- r = -1: Perfect negative linear relationship
- r = 0: No linear relationship
- |r| > 0.7: Strong correlation
- |r| 0.3-0.7: Moderate correlation
- |r| < 0.3: Weak correlation
Important: Correlation does not imply causation.