Maths 11.9 Statistics 6

Maths 11.9 Statistics 6

PhET Sim: Least-Squares Regression

URL: https://phet.colorado.edu/en/simulation/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.

Attribution: PhET Interactive Simulations
University of Colorado Boulder
https://phet.colorado.edu

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