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* These phenomena are all examples of so-called regression to the mean
* Invented by Francis Galton in the paper "Regression towvards mediocrity in hereditary stature" The Journal of the Anthropological Institute of Great Britain and Ireland , Vol. 15, (1886).
* Invented by Francis Galton in the paper "Regression towards mediocrity in hereditary stature" The Journal of the Anthropological Institute of Great Britain and Ireland , Vol. 15, (1886).
* Think of it this way, imagine if you simulated pairs of random normals
* The largest first ones would be the largest by chance, and the probability that there are smaller for the second simulation is high.
* In other words $P(Y < x | X = x)$ gets bigger as $x$ heads into the very large values.