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I read that correlated variables are always dependent but dependent variables may be uncorrelated. Can anyone please correct me if I am wrong? And also explain me intuitively the difference between correlation and dependence in variables with an example? I will be very thankful

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  • $\begingroup$ Thank you @kjetilbhalvorsen, but I am looking for more of an intuitive explanation. If you have checked the link that you have mentioned here, it does a very good job but, apologies, I couldn't derive an intuitive explanation from it. Please help if you can elaborate more on the answer $\endgroup$
    – Srewashi Lahiri
    Commented Sep 3, 2017 at 14:31
  • $\begingroup$ There are more intuitive explanations at some of the other duplicates. See also some of the discussions in answers and some comments in posts under "Related" in the sidebar $\endgroup$
    – Glen_b
    Commented Sep 4, 2017 at 5:41

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Suppose that X ranges from -2 to +2. Suppose that Y = X^2.

Now the correlation will be close to 0 (how close depends on how noisy the data are) but the dependence will be strong.

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