Residuals: Anscombe’s quartet
5 10 15 20
2 4 6 8 10 12 14
x
y
5 10 15 20
2 4 6 8 10 12 14
x
y
5 10 15 20
2 4 6 8 10 12 14
x
y
5 10 15 20
2 4 6 8 10 12 14
x
y
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Guidelines and tips
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Anscombe's Quartet: Understanding Different Stories Told by Residuals, Study notes of Descriptive statistics
Anscombe's quartet is a famous example in statistics that demonstrates how identical fitted lines and equal residual sums of squares can hide significant differences in the distribution of residuals. an overview of Anscombe's quartet, explains how to calculate residuals, and discusses the importance of analyzing residuals to understand the underlying data.
Typology: Study notes
2021/2022
1 / 5
This page cannot be seen from the preview
Don't miss anything!
Related documents
Partial preview of the text
Download Anscombe's Quartet: Understanding Different Stories Told by Residuals and more Study notes Descriptive statistics in PDF only on Docsity!
Residuals: Anscombe’s quartet
x y 5 10 15 20
x y 5 10 15 20
x y 5 10 15 20
x y
Residuals: Anscombe’s quartet
x y 5 10 15 20
x y 5 10 15 20
x y 5 10 15 20
x y
Why are the four sets of residuals different?
obvious if you have only one explanatory variable
- res1 res2 res3 res - 1 -0.740 -1.901 0.389 0.
- 2 0.179 -0.761 0.229 -0.
- 3 1.239 0.129 0.079 -1.
- 4 -1.681 0.759 -0.081 0.
- 5 -0.051 1.139 -0.230 -1.
- 6 1.309 1.269 -0.390 1.
- 7 0.039 1.139 -0.540 -0.
- 8 -0.171 0.759 -0.689 1.
- 9 1.839 0.129 -0.849 -1.
- 10 -1.921 -0.761 3.241 0.
- 11 -0.041 -1.901 -1.159 0.