Using Linear Algebra to Construct Anscombe’s Quartet

Understanding linear regression in terms of projections leads us to a method of constructing Anscombe's quartet. The key is the fact that we can manipulate the correlation coefficient by scaling the linear regression error, and this manipulation has no effect on the equation of the regression line.

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Publication Details

Journal
College Mathematics Journal
Published
2024-08-20
DOI
https://doi.org/10.1080/07468342.2024.2385078
Primary Topic
Advanced Statistical Methods and Models
Type
article
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article

Using Linear Algebra to Construct Anscombe’s Quartet

Peter Zizler, Roberta La Haye
College Mathematics Journal
Advanced Statistical Methods and Models
article

Using Linear Algebra to Construct Anscombe’s Quartet

Peter Zizler, Roberta La Haye
article en

Abstract

Understanding linear regression in terms of projections leads us to a method of constructing Anscombe's quartet. The key is the fact that we can manipulate the correlation coefficient by scaling the linear regression error, and this manipulation has no effect on the equation of the regression line.

College Mathematics JournalVol. 56(2)
Reduced inequalities
Openalex Percentile: Top 86%
Advanced Statistical Methods and Models
DOISourceOpenAlex
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Using Linear Algebra to Construct Anscombe’s Quartet — Peter Zizler, Roberta La Haye · College Mathematics Journal (2024) | TGRS Research Map | TGRS