Sample Data: Anscombe Regression Lines

Source Notebook

Anscombe's 4 regression line data

These four datasets that have nearly identical simple descriptive statistics, yet appear very different when graphed. Each dataset consists of eleven (x,y) points. They were constructed in 1973 by the statistician Francis Anscombe to demonstrate both the importance of graphing data before analyzing it and the effect of outliers on statistical properties.

(8 columns, 11 rows)

Examples

Basic Examples

Retrieve the ResourceObject:

In[1]:=

Out[1]=

View the data:

In[2]:=

Out[2]=

Visualization

Plot the four datasets with linear regression line:

In[3]:=

Show[Plot[3 + 0.5 x, {x, 2, 16}], #] & /@ ListPlot /@ (ResourceData["Sample Data: Anscombe Regression Lines"][
All, #] & /@ {{"X1", "Y1"}, {"X2", "Y2"}, {"X3", "Y3"}, {"X4", "Y4"}})

Out[3]=

Bibliographic Citation

Wolfram Research, "Sample Data: Anscombe Regression Lines" from the Wolfram Data Repository (2016) https://doi.org/10.24097/wolfram.70071.data

Data Resource History

Date Created: 19 January 2016

Source Metadata

Title: Anscombe Regression Lines Sample Data
Creator: Anscombe, Francis J.
Publisher: American Statistician, vol. 27, no. 1: pp. 17-21
Date: 1973
Description: Anscombe's 4 regression line data
Language: English
Source: Graphs in Statistical Analysis from The American Statistican

Data Downloads

Publisher Information

Publisher of Record: Wolfram Research