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2 -1 -2 -3 -4 2 Scenario 1 3 2 1 ° -1 Scenario 2 Scenario 3 5 -5 -4 -3 -2 -1 1 3 -5 -4 -3 -2 -1 01 Scenario 4 4 3 1 0 -1 -2 -3 -4 Scenario 5 4 3 2 1 ° -1 -2 -3 -5 3 -5 -4 -3 -2 -1 1 2 3 4 Scenario 6 4 3 2 1 0 -1 -2 -3 -5 -5 -5 -5 -4 -3 -2 -1 1 3 5 -5 -3 -1 1 3 -5 -1 0 1 2 3 4 5

2 -1 -2 -3 -4 2 Scenario 1 3 2 1 ° -1 Scenario 2 Scenario 3 5 -5 -4 -3 -2 -1 1 3 -5 -4 -3 -2 -1 01 Scenario 4 4 3 1 0 -1 -2 -3 -4 Scenario 5 4 3 2 1 ° -1 -2 -3 -5 3 -5 -4 -3 -2 -1 1 2 3 4 Scenario 6 4 3 2 1 0 -1 -2 -3 -5 -5 -5 -5 -4 -3 -2 -1 1 3 5 -5 -3 -1 1 3 -5 -1 0 1 2 3 4 5

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 84RE
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Question

We have provided several scenarios describing pairs of (continuous) random variables via contour plots, scatter plots, and equations. For each of the following parts, list the scenarios that satisfy the specified criteria. For the equations, this will require some quick calculations, but for the contour and scatter plots you should be able to reason visually without calculations.

(a) E[X] noticeably more than 0

(b) E[Y ] noticeably less than 0

(c) Var[X] noticeably larger than Var[Y ]

(d) Cov[X, Y ] noticeably more than 0

(e) absolute val (ρX,Y) close to 1 

2 -1 -2 -3 -4 2 Scenario 1 3 2 1 ° -1 Scenario 2 Scenario 3 5 -5 -4 -3 -2 -1 1 3 -5 -4 -3 -2 -1 01 Scenario 4 4 3 1 0 -1 -2 -3 -4 Scenario 5 4 3 2 1 ° -1 -2 -3 -5 3 -5 -4 -3 -2 -1 1 2 3 4 Scenario 6 4 3 2 1 0 -1 -2 -3 -5 -5 -5 -5 -4 -3 -2 -1 1 3 5 -5 -3 -1 1 3 -5 -1 0 1 2 3 4 5
Transcribed Image Text:2 -1 -2 -3 -4 2 Scenario 1 3 2 1 ° -1 Scenario 2 Scenario 3 5 -5 -4 -3 -2 -1 1 3 -5 -4 -3 -2 -1 01 Scenario 4 4 3 1 0 -1 -2 -3 -4 Scenario 5 4 3 2 1 ° -1 -2 -3 -5 3 -5 -4 -3 -2 -1 1 2 3 4 Scenario 6 4 3 2 1 0 -1 -2 -3 -5 -5 -5 -5 -4 -3 -2 -1 1 3 5 -5 -3 -1 1 3 -5 -1 0 1 2 3 4 5
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