Quartet Anscombe

Statistics is such a tool ... Very scary in inept hands. In the skillful of that worse, able to break the brain into pieces. Here are the sequences A , B , C and D , about which we know the following:

	A	B	C	D
Average x	9.00	9.00	9.00	9.00
Dispersion x	10.00	10.00	10.00	10.00
Average y	7.50	7.50	7.50	7.50
Variance y	3.75	3.75	3.75	3.75
The correlation between x and y	0.82	0.82	0.82	0.82
Direct linear regression	y = 3 + 0.5 x	y = 3 + 0.5 x	y = 3 + 0.5 x	y = 3 + 0.5 x

That is, all of these values ​​for them are the same. At least until the second decimal. And now we look with our eyes:Such is the oil painting. You can download .XLS data for self-study. The British statistician F.J. came up with this thing. Anscombe, and she is called the Anscombe Quartet. Everyone has heard the saying about the average temperature in the hospital, and now you have a good illustration of it. About the Anscombe Quartet in the English Wikipedia. UPD : Porting of this article has begun in the Russian Wikipedia , and they correctly notice that the author should be called Francis Anscombe .