Least-Squares Regression & Residuals
by Anonymous · ⭐ 1 · 🍴 0
Slide a line through a cloud of points, see residuals as vertical bars, and find by hand where the squared areas add up to the smallest total—then change the spread to explore correlation r and risky extrapolation.
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About this app
Least-Squares Regression & Residuals is an interactive statistics lesson for exploring how a line fits a scatter plot. Adjust the slope and intercept to see vertical residuals, then represent squared residuals as areas and find the line that minimizes their total. A separate section demonstrates how changing point spread affects correlation coefficient r and distinguishes interpolation from risky extrapolation.
Use cases
- High school students learning regression and residuals
- Teachers demonstrating least-squares fitting in class
- Learners practicing slope and intercept adjustment
- Anyone exploring correlation and extrapolation visually
Features
- Interactive slope and intercept controls for a fitted line
- Vertical residual bars showing point minus line
- Squared-residual areas with a displayed sum and minimum of 12
- Missions for finding the mean-point line and least-squares line
- Adjustable point spread with correlation coefficient r
- Prediction x control showing interpolation and extrapolation regions