The expectation of X is “regressed towards the mean” when an extreme Y is used as a predictor, and vice versa. Thus, to my mind, this post’s target phenomenon is a straightforward special case of RTM.
Hmm, okay yeah that makes sense. I think my initial confusion is something like “the most interesting takeaway here is not the part where predictor regressed to the mean, but that extreme things tend to be differently extreme on different axis.
(At least, when I refer mentally to “tails coming apart”, that’s the thing I tend to mean)
the most interesting takeaway here is not the part where predictor regressed to the mean, but that extreme things tend to be differently extreme on different axis.
Even though the two variables are strongly correlated, things that are extreme on one variable are somewhat closer to the mean on the other variable.
The expectation of X is “regressed towards the mean” when an extreme Y is used as a predictor, and vice versa. Thus, to my mind, this post’s target phenomenon is a straightforward special case of RTM.
Hmm, okay yeah that makes sense. I think my initial confusion is something like “the most interesting takeaway here is not the part where predictor regressed to the mean, but that extreme things tend to be differently extreme on different axis.
(At least, when I refer mentally to “tails coming apart”, that’s the thing I tend to mean)
Even though the two variables are strongly correlated, things that are extreme on one variable are somewhat closer to the mean on the other variable.
Gotcha. Yeah that makes sense.