Show that if Y = ax + b (a = 0), then Corr(X, Y) = +1 or -1. We know Cov(X, Y) = Cov x, ])--)-I + b Then Cov(X, Y) Corr(X, Y) = which is 1 when --Select-- v and -1 when Ox (lal ox) |a| ---Select--- v Under what condition will p = +1? The value p = +1 when --Select- v

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 14E
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Show that if Y = ax + b (a # 0), then Corr(X, Y) = +1 or -1.
cofx
We know Cov(X, Y) =
X, a
+ b
Then
=
Cov(X, Y)
Corr(X, Y) =
which is 1 when -Select---
and -1 when
Ox (lal ox)
|a|
---Select--
Under what condition will p = +1?
The value p = +1 when --Select--- v
Transcribed Image Text:Show that if Y = ax + b (a # 0), then Corr(X, Y) = +1 or -1. cofx We know Cov(X, Y) = X, a + b Then = Cov(X, Y) Corr(X, Y) = which is 1 when -Select--- and -1 when Ox (lal ox) |a| ---Select-- Under what condition will p = +1? The value p = +1 when --Select--- v
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