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I recently started learning forecasting and I came across lagplots, which is used to test whether a given set of data is random or not.

Although, I understand how to use the plots, I don't get an intuitive understanding of why there is a pattern that is exhibited when the data is not random.

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  • $\begingroup$ Isn't having patterns essentially the same thing as being non-random? $\endgroup$ – Ivan Neretin Dec 28 '17 at 6:16
  • $\begingroup$ My question is "Why should it exhibit a pattern? Why can't a lag plot of a non-random data be random? In other words what makes the plot Y(i) vs Y(i-k) patterned for a non-random data?" $\endgroup$ – Anirudh Murali Dec 28 '17 at 6:42
  • $\begingroup$ Why, of course it can appear random if your dataset is crafted for that purpose. $\endgroup$ – Ivan Neretin Dec 28 '17 at 7:07

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