Chapter 14: Q 10 (page 588)

Identify the relationship between two variables and the terminology used to describe that relationship if
a) $ρ > 0$
b) $ρ = 0$
c) $ρ < 0$

Short Answer

Expert verified

Part a) increase linearly

Part b) linearly uncorrelated

Part c) negatively linearly correlated,

Step by step solution

Step 1:Given information

The relationship between two variables

Step 2:Explaination Part a)

If $ρ > 0$ : The variables are positively linearly correlated, meaning that $y$ tends to increase linearly as $x$ increases (and vice versa), with the tendency being greater the closer that $ρ$ is to $1$

Step 2:Explaination Part b)

If $ρ = 0$ : The variables are linearly uncorrelated, meaning that there is no linear between the variables.

Step 2:Explaination Part c)

If $ρ < 0$ : The variables are negatively linearly correlated, meaning that $y$ tends to decrease linearly as $x$ increases (and vice versa), with the tendency being greater the closer that $ρ$ is to $- 1 .$

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Identify the relationship between two variables and the terminology used to describe that relationship if
a) $ρ > 0$
b) $ρ = 0$
c) $ρ < 0$

Short Answer

Step by step solution

Step 1:Given information

Step 2:Explaination Part a)

Step 2:Explaination Part b)

Step 2:Explaination Part c)

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Identify the relationship between two variables and the terminology used to describe that relationship ifa)ρ>0b)ρ=0c)ρ<0

Short Answer

Step by step solution

Step 1:Given information

Step 2:Explaination Part a)

Step 2:Explaination Part b)

Step 2:Explaination Part c)

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Statistics

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Theoretical and Mathematical Physics

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Study anywhere. Anytime. Across all devices.

Identify the relationship between two variables and the terminology used to describe that relationship if
a) $ρ > 0$
b) $ρ = 0$
c) $ρ < 0$