Least-Squares Regression
Least-Squares Regression

Least-Squares Regression

Lead Author(s): University of Colorado Boulder

Source: UC Boulder PhET

Student Price: FREE

Create a scatter plot or use real-world data and try to fit a line to it! Explore how individual data points affect the correlation coefficient and best-fit line.

Least-Squares Regression

Topics

  • Linear Regression
  • Correlation
  • Residuals
  • Outlier
  • Data

Description

Create your own scatter plot or use real-world data and try to fit a line to it! Explore how individual data points affect the correlation coefficient and best-fit line.

Sample Learning Goals

  • Interpret r (the correlation coefficient) as data points are added, moved, or removed.
  • Interpret the sum of the squared residuals while manually fitting a line.
  • Interpret the sum of the squared residuals of a best-fit line as a data point is added, moved, or removed.
  • Compare the sum of the squared residuals between a manually fitted line and the best-fit line.
  • Determine if a linear fit is appropriate.