Calculate R-squared from Plot by Hand
Calculating R-squared from a plot by hand is a crucial statistical analysis technique used to determine the strength and direction of a linear relationship between two variables. It’s vital for understanding the fit of your data and making informed decisions.
- Enter your X and Y values, separated by commas.
- Click ‘Calculate’.
- View your results below the calculator.
The formula for calculating R-squared (R²) is:
R² = 1 – (∑(yi – ŷi)² / ∑(yi – ȳ)²)
Where:
- yi = individual data point
- ŷi = predicted value
- ȳ = mean of y
| Model | R-squared |
|---|---|
| Linear | 0.85 |
| Quadratic | 0.92 |
- Always check the assumptions of your data before calculating R-squared.
- R-squared alone is not enough to determine the best model. Consider other metrics like adjusted R-squared and residual plots.
What does R-squared represent?
R-squared represents the proportion of the variance in the dependent variable that is predictable from the independent variable(s).
For more information, see: