Least-Squares Regression & Residuals
by Anonymous
Drag the line to find where the sum of squared residuals is smallest, then vary the spread to see how correlation r behaves and why extrapolation is risky.
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About this app
An interactive statistics lesson on least-squares regression and residuals. Adjust a line's slope and intercept to see vertical residuals, compare squared-residual sums, and identify the least-squares line. A separate correlation section shows how spread affects r and illustrates the difference between interpolation and risky extrapolation.
Use cases
- High school students learning regression and residuals
- Teachers demonstrating least-squares concepts in class
- Learners practicing slope and intercept adjustment
- Statistics review for correlation and prediction
Features
- Interactive slope and intercept controls for fitting a line
- Visual residuals showing point-minus-line distances
- Squared residual areas and a minimum sum of 12
- Correlation coefficient r with adjustable point spread
- Prediction control showing interpolation and extrapolation zones
- Mission-based activities with reset and next controls