A 0.0 correlation coefficient signifies uncorrelatedness, and it’s either rather easy or rather difficult to imagine (unless you have a chaotic mind). Either all the numbers in the data sets are exactly the same, a constant, which is mathematically defined as undefined correlation, or the data set looks like utter chaos. Actually creating an arbitrary dataset with zero correlation is not easy (except for the boring orthogonal case), so I included the boring data set and an illustration of the chaotic case to drive this point home.
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