Linear Regression & Correlation Calculator

Analyse the relationship between two continuous variables. Enter your Independent (X) and Dependent (Y) data below to instantly calculate the Pearson correlation coefficient, $R^2$, and the linear regression equation.

How to use this calculator

1. Enter X Data (Independent Variable): Paste your predictor values into the left box.
2. Enter Y Data (Dependent Variable): Paste your outcome values into the right box.
3. Verify your counts: Ensure you have the exact same number of data points in both boxes. The calculator pairs the first X with the first Y, the second X with the second Y, and so on.

Understanding Your Results

• Pearson Correlation ($r$): Measures the strength and direction of a linear relationship between two variables. It ranges from -1 to 1. A value of 1 means a perfect positive relationship, -1 means a perfect negative relationship, and 0 means no linear relationship at all.
• Coefficient of Determination ($R^2$): Represents the percentage of the variance in the dependent variable (Y) that can be explained by the independent variable (X). For example, an $R^2$ of 0.81 means 81% of the movement in Y is predictable based on X.
• Regression Equation ($\hat{y} = mx + b$): The mathematical formula for the "line of best fit."
  • Slope ($m$): Tells you how much Y is expected to change for every one-unit increase in X.
  • Y-Intercept ($b$): The expected value of Y when X is exactly zero.