How To Calculate R Squared Using Regression Analysis

Calculate R-squared using Regression Analysis




Introduction & Importance

R-squared, also known as the coefficient of determination, is a statistical measure that represents the proportion of the variance for a dependent variable that’s explained by an independent variable or variables in a regression model.

How to Use This Calculator

  1. Enter the values of X and Y.
  2. Enter the sample size (N).
  3. Click ‘Calculate’.

Formula & Methodology

The formula for R-squared is: R² = 1 – (SS_Res / SS_Tot)

Real-World Examples

Data & Statistics

X Y

Expert Tips

  • Understand the limitations of R-squared.
  • Always check the assumptions of regression analysis.

Interactive FAQ

What is a good R-squared value?

A good R-squared value is typically considered to be 0.7 or higher, but this can vary depending on the context.

Understanding R-squared in regression analysis Interpreting R-squared values

For more information, see Statistics How To and Penn State University.

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