## Maths 11.9 Statistics 6

### PhET Sim: Least-Squares Regression

Simulation Guide: least-squares-regression-html-guide

#### 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.

This resource is aligned with Year 11/Form 5 Maths Curriculum:

Unit 9 Statistics 6

• Scatter Diagrams
• Direct and Inverse (negative correlation)
• Standard deviation for simple frequency distributions (no class intervals)

All simulations available at http://phet.colorado.edu are open educational resources available under the Creative Commons Attribution license (CC-BY).

Permission is granted to freely use, share, or redistribute PhET sims under the CC-BY license.