Answered: Q1) prove the following below i).…

Q1) prove the following below i). Corr(X , Y ) ∈ [−, 1, 1] ii) E(X|Y) = E(X) or E(Y|X) = E(Y) ⇒ Corr(X,Y) = 0 iii). If Y =a+bX a,b∈R, then Var(Y)=b2Var(X)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter3: Triangles

Section3.5: Inequalities In A Triangles

Problem 35E: Prove by the indirect method: Given: MPN is not isosceles Prove: PMPN

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Q1) prove the following below

i). Corr(X , Y ) ∈ [−, 1, 1]

ii) E(X|Y) = E(X) or E(Y|X) = E(Y) ⇒ Corr(X,Y) = 0

iii). If Y =a+bX a,b∈R, then Var(Y)=b²Var(X)

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