What is the R² (Coefficient of Determination) Calculator?

The R² Calculator is a statistical tool that helps users determine how well a regression model explains the variation in a dataset. By entering X (independent) and Y (dependent) values, the tool calculates the slope and intercept of the best-fit line, predicted Y values, residuals, and the R² value. The R² value indicates the proportion of variance in the dependent variable explained by the independent variable, helping users evaluate model accuracy and predictive power.

How to Use:

1. Enter X Values (comma-separated): Input the independent variable data points, e.g., 1, 2, 3, 4, 5.
2. Enter Y Values (comma-separated): Input the dependent variable data points corresponding to each X, e.g., 2, 4, 5, 4, 5.
3. Click “Calculate”: The calculator computes the slope, intercept, predicted Y values, residuals, and the R² value.
4. Review Result: The output displays the regression equation, R² value, and a detailed table showing X, Y, predicted Y (ŷ), and residuals (Y − ŷ), helping you analyze the accuracy and fit of your data model.