anscombe_linear | R Documentation |
This dataset contains 11 observations generated by Francis Anscombe to
demonstrate that statistical summary measures alone cannot capture the full
relationship between two variables (here, x
and y
). Anscombe emphasized
the importance of visualizing data prior to calculating summary statistics.
anscombe_linear
A dataframe with 11 rows and 2 variables:
x
: the x-variable
y
: the y-variable
This Dataset has a linear relationship between x
and y
Additionally, the following statistical summaries hold:
mean of x
: 9
variance of x
: 11
mean of y
: 7.5
variance of y: 4.125
correlation between x
and y
: 0.816
linear regression between x
and y
: y = 3 + 0.5x
R^2
for the regression: 0.67
Anscombe, F. J. (1973). "Graphs in Statistical Analysis". American Statistician. 27 (1): 17–21. doi:10.1080/00031305.1973.10478966. JSTOR 2682899.
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