Forthe bivariate normal distribution (Section 2.7.4) withcorrelation , in1886FrancisGalton showedthattheconditionaldistributionof (Y S X = x) is N[y+(Y

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Forthe bivariate normal distribution (Section 2.7.4) withcorrelation ρ, in1886FrancisGalton showedthattheconditionaldistributionof (Y S X = x) is N[μy+ρ(σY ~σX)(x−μx), σ2 Y (1−ρ2)].

Showthat

and useittoexplain theconceptofregressiontowardthemean.

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Forthe bivariate normal distribution (Section 2.7.4) withcorrelation , in1886FrancisGalton showedthattheconditionaldistributionof (Y S X = x) is N[y+(Y

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E(YX = x)-Hy x-x 0x

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Foundations Of Statistics For Data Scientists With R And Python

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