Use our free Linear Correlation Coefficient Calculator to quickly determine the strength and direction of a linear relationship between two variables (X and Y). This tool computes the Pearson product-moment correlation coefficient (Pearson r), helping you understand statistical associations in your data.
Formula:
The Linear Correlation Coefficient, often denoted as Pearson r, measures the strength and direction of a linear relationship between two variables. Its formula is:
r = Σ[(Xi - X̄)(Yi - Ȳ)] / √[Σ(Xi - X̄)2 * Σ(Yi - Ȳ)2]
- Xi: Individual data point for the first variable (X)
- Yi: Individual data point for the second variable (Y)
- X̄: Mean of the first variable (X)
- Ȳ: Mean of the second variable (Y)
- Σ: Summation (sum of all values)
- √: Square root