# Anscombe's quartet - Using just descriptive statistics, can I determine if two sets of values represents the same phenomenon?

Given two sets, lets say:

Can I say that they are related to the same phenomenon, given their mean and correlation?

P.S.: Both sets have same correlation (x1 and y1; x2 and y2)

P.S.2: x1 and x2 have the same mean, so as y1 and y2

But I'm still looking for some details. Descriptive statistics alone is not enough here, so what must we use? Plot data? Some advanced regression models? I know we should go further, but to where?

• Can you add the data as text rather than images please ? (so that others can use them for examples more easily) – baxx Apr 12 '20 at 0:32
• @baxx I would like to add data as table, but I can't so I posted it as image. – Victor Leal Apr 12 '20 at 1:13
• You can - worse case you could just put the raw output of a csv file there and someone would be able to edit that quite easily – baxx Apr 12 '20 at 13:32