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  • https://stats.libretexts.org/Courses/Luther_College/Psyc_350%3ABehavioral_Statistics_(Toussaint)/10%3A_Regression/10.07%3A_Regression_Toward_the_Mean
    Since their luck cannot be expected to be maintained from trial to trial, the best prediction of a person's performance on a second trial will be somewhere between their performance on the first trial...Since their luck cannot be expected to be maintained from trial to trial, the best prediction of a person's performance on a second trial will be somewhere between their performance on the first trial and the mean performance on the first trial. The degree to which the score is expected to "regress toward the mean" in this manner depends on the relative contributions of chance and skill to the task: the greater the role of chance, the more the regression toward the mean.

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