Algebra and Trigonometry: Structure and Method, Book 2
Algebra and Trigonometry: Structure and Method, Book 2
2000th Edition
ISBN: 9780395977255
Author: MCDOUGAL LITTEL
Publisher: McDougal Littell
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Concept explainers

Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as p…
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Question
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Chapter 15.4, Problem 2OE

a.

To determine

To explain: The relationship between x and y if correlation coefficient is rxy=0.05 .

a.

Expert Solution
Check Mark

Answer to Problem 2OE

The linear relationship between x and yis weak.

Explanation of Solution

Given information:

The correlation coefficient between x and yis rxy=0.05 .

Formula used:

The linear relationship between any two variables is strong if correlation coefficient is close to 1 otherwise linear relationship between any two variables is weak.

Consider the provided information that correlation coefficient between x and yis rxy=0.05 .

It is known that the linear relationship between any two variables is strong if correlation coefficient is close to 1 otherwise linear relationship between any two variables is weak.

The value rxy=0.05 is far from 1. Therefore, relationship between x and yis weak.

b.

To determine

To explain: The relationship between x and y if correlation coefficient is rxy=−0.95 .

b.

Expert Solution
Check Mark

Answer to Problem 2OE

The linear relationship between x and y is strong.

Explanation of Solution

Given information:

The correlation coefficient between x and yis rxy=−0.95 .

Formula used:

The linear relationship between any two variables is strong if correlation coefficient is close to 1 otherwise linear relationship between any two variables is weak.

Consider the provided information that correlation coefficient between x and yis rxy=−0.95 .

It is known that the linear relationship between any two variables is strong if correlation coefficient is close to 1 otherwise linear relationship between any two variables is weak.

The value rxy=−0.95 is close to 1. Therefore, relationship between x and y is strong

c.

To determine

To explain: The relationship between x and y if correlation coefficient is rxy=−0.10 .

c.

Expert Solution
Check Mark

Answer to Problem 2OE

The linear relationship between x and y is weak.

Explanation of Solution

Given information:

The correlation coefficient between x and yis rxy=−0.10 .

Formula used:

The linear relationship between any two variables is strong if correlation coefficient is close to 1 otherwise linear relationship between any two variables is weak.

Consider the provided information that correlation coefficient between x and yis rxy=−0.10 .

It is known that the linear relationship between any two variables is strong if correlation coefficient is close to 1 otherwise linear relationship between any two variables is weak.

The value rxy=−0.10 is far from 1. Therefore, relationship between x and y is weak.

d.

To determine

To explain: The relationship between x and y if correlation coefficient is rxy=0.90 .

d.

Expert Solution
Check Mark

Answer to Problem 2OE

The linear relationship between x and y is strong.

Explanation of Solution

Given information:

The correlation coefficient between x and yis rxy=0.90 .

Formula used:

The linear relationship between any two variables is strong if correlation coefficient is close to 1 otherwise linear relationship between any two variables is weak.

Consider the provided information that correlation coefficient between x and yis rxy=0.90 .

It is known that the linear relationship between any two variables is strong if correlation coefficient is close to 1 otherwise linear relationship between any two variables is weak.

The value rxy=0.90 is close to 1. Therefore, relationship between x and y is strong

Previous
Chapter 15.4, Problem 1OE
Next
Chapter 15.4, Problem 3OE

Chapter 15 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 15.1 - Prob. 1OECh. 15.1 - Prob. 2OECh. 15.1 - Prob. 3OECh. 15.1 - Prob. 4OECh. 15.1 - Prob. 5OECh. 15.1 - Prob. 6OECh. 15.1 - Prob. 7OECh. 15.1 - Prob. 8OECh. 15.1 - Prob. 1WECh. 15.1 - Prob. 2WE
Ch. 15.1 - Prob. 3WECh. 15.1 - Prob. 4WECh. 15.1 - Prob. 5WECh. 15.1 - Prob. 6WECh. 15.1 - Prob. 7WECh. 15.1 - Prob. 8WECh. 15.1 - Prob. 9WECh. 15.1 - Prob. 10WECh. 15.1 - Prob. 11WECh. 15.1 - Prob. 12WECh. 15.1 - Prob. 13WECh. 15.1 - Prob. 14WECh. 15.1 - Prob. 15WECh. 15.1 - Prob. 16WECh. 15.1 - Prob. 17WECh. 15.1 - Prob. 18WECh. 15.1 - Prob. 1MRECh. 15.1 - Prob. 2MRECh. 15.1 - Prob. 3MRECh. 15.1 - Prob. 4MRECh. 15.1 - Prob. 5MRECh. 15.1 - Prob. 6MRECh. 15.2 - Prob. 1OECh. 15.2 - Prob. 2OECh. 15.2 - Prob. 3OECh. 15.2 - Prob. 4OECh. 15.2 - Prob. 5OECh. 15.2 - Prob. 6OECh. 15.2 - Prob. 7OECh. 15.2 - Prob. 8OECh. 15.2 - Prob. 9OECh. 15.2 - Prob. 10OECh. 15.2 - Prob. 11OECh. 15.2 - Prob. 12OECh. 15.2 - Prob. 13OECh. 15.2 - Prob. 14OECh. 15.2 - Prob. 1WECh. 15.2 - Prob. 2WECh. 15.2 - Prob. 3WECh. 15.2 - Prob. 4WECh. 15.2 - Prob. 5WECh. 15.2 - Prob. 6WECh. 15.2 - Prob. 7WECh. 15.2 - Prob. 8WECh. 15.2 - Prob. 9WECh. 15.2 - Prob. 10WECh. 15.2 - Prob. 11WECh. 15.2 - Prob. 12WECh. 15.2 - Prob. 13WECh. 15.2 - Prob. 14WECh. 15.2 - Prob. 15WECh. 15.2 - Prob. 16WECh. 15.2 - Prob. 17WECh. 15.2 - Prob. 18WECh. 15.2 - Prob. 19WECh. 15.2 - Prob. 20WECh. 15.3 - Prob. 1OECh. 15.3 - Prob. 2OECh. 15.3 - Prob. 3OECh. 15.3 - Prob. 4OECh. 15.3 - Prob. 5OECh. 15.3 - Prob. 6OECh. 15.3 - Prob. 1WECh. 15.3 - Prob. 2WECh. 15.3 - Prob. 3WECh. 15.3 - Prob. 4WECh. 15.3 - Prob. 5WECh. 15.3 - Prob. 6WECh. 15.3 - Prob. 7WECh. 15.3 - Prob. 8WECh. 15.3 - Prob. 9WECh. 15.3 - Prob. 10WECh. 15.3 - Prob. 11WECh. 15.3 - Prob. 12WECh. 15.3 - Prob. 1MRECh. 15.3 - Prob. 2MRECh. 15.3 - Prob. 3MRECh. 15.3 - Prob. 4MRECh. 15.3 - Prob. 5MRECh. 15.3 - Prob. 6MRECh. 15.4 - Prob. 1OECh. 15.4 - Prob. 2OECh. 15.4 - Prob. 3OECh. 15.4 - Prob. 1WECh. 15.4 - Prob. 2WECh. 15.4 - Prob. 3WECh. 15.4 - Prob. 4WECh. 15.4 - Prob. 5WECh. 15.4 - Prob. 6WECh. 15.4 - Prob. 7WECh. 15.4 - Prob. 8WECh. 15.4 - Prob. 9WECh. 15.4 - Prob. 10WECh. 15.4 - Prob. 11WECh. 15.4 - Prob. 12WECh. 15.4 - Prob. 13WECh. 15.4 - Prob. 1STCh. 15.4 - Prob. 2STCh. 15.4 - Prob. 3STCh. 15.4 - Prob. 4STCh. 15.4 - Prob. 5STCh. 15.4 - Prob. 6STCh. 15.5 - Prob. 1OECh. 15.5 - Prob. 2OECh. 15.5 - Prob. 3OECh. 15.5 - Prob. 4OECh. 15.5 - Prob. 1WECh. 15.5 - Prob. 2WECh. 15.5 - Prob. 3WECh. 15.5 - Prob. 4WECh. 15.5 - Prob. 5WECh. 15.5 - Prob. 6WECh. 15.5 - Prob. 7WECh. 15.5 - Prob. 8WECh. 15.5 - Prob. 9WECh. 15.5 - Prob. 10WECh. 15.5 - Prob. 11WECh. 15.5 - Prob. 12WECh. 15.5 - Prob. 13WECh. 15.5 - Prob. 14WECh. 15.5 - Prob. 15WECh. 15.5 - Prob. 16WECh. 15.5 - Prob. 17WECh. 15.5 - Prob. 18WECh. 15.5 - Prob. 19WECh. 15.5 - Prob. 20WECh. 15.5 - Prob. 1MRECh. 15.5 - Prob. 2MRECh. 15.5 - Prob. 3MRECh. 15.5 - Prob. 4MRECh. 15.5 - Prob. 5MRECh. 15.5 - Prob. 6MRECh. 15.5 - Prob. 7MRECh. 15.5 - Prob. 8MRECh. 15.6 - Prob. 1OECh. 15.6 - Prob. 2OECh. 15.6 - Prob. 3OECh. 15.6 - Prob. 4OECh. 15.6 - Prob. 5OECh. 15.6 - Prob. 6OECh. 15.6 - Prob. 7OECh. 15.6 - Prob. 8OECh. 15.6 - Prob. 9OECh. 15.6 - Prob. 10OECh. 15.6 - Prob. 11OECh. 15.6 - Prob. 12OECh. 15.6 - Prob. 1WECh. 15.6 - Prob. 2WECh. 15.6 - Prob. 3WECh. 15.6 - Prob. 4WECh. 15.6 - Prob. 5WECh. 15.6 - Prob. 6WECh. 15.6 - Prob. 7WECh. 15.6 - Prob. 8WECh. 15.6 - Prob. 9WECh. 15.6 - Prob. 10WECh. 15.6 - Prob. 11WECh. 15.6 - Prob. 12WECh. 15.6 - Prob. 13WECh. 15.6 - Prob. 14WECh. 15.6 - Prob. 15WECh. 15.6 - Prob. 16WECh. 15.6 - Prob. 17WECh. 15.6 - Prob. 18WECh. 15.6 - Prob. 19WECh. 15.6 - Prob. 20WECh. 15.6 - Prob. 21WECh. 15.6 - Prob. 22WECh. 15.6 - Prob. 23WECh. 15.6 - Prob. 24WECh. 15.6 - Prob. 25WECh. 15.6 - Prob. 26WECh. 15.6 - Prob. 27WECh. 15.6 - Prob. 28WECh. 15.6 - Prob. 29WECh. 15.6 - Prob. 30WECh. 15.6 - Prob. 31WECh. 15.7 - Prob. 1OECh. 15.7 - Prob. 2OECh. 15.7 - Prob. 3OECh. 15.7 - Prob. 4OECh. 15.7 - Prob. 5OECh. 15.7 - Prob. 6OECh. 15.7 - Prob. 7OECh. 15.7 - Prob. 1WECh. 15.7 - Prob. 2WECh. 15.7 - Prob. 3WECh. 15.7 - Prob. 4WECh. 15.7 - Prob. 5WECh. 15.7 - Prob. 6WECh. 15.7 - Prob. 7WECh. 15.7 - Prob. 8WECh. 15.7 - Prob. 9WECh. 15.7 - Prob. 10WECh. 15.7 - Prob. 11WECh. 15.7 - Prob. 12WECh. 15.7 - Prob. 13WECh. 15.7 - Prob. 14WECh. 15.7 - Prob. 15WECh. 15.7 - Prob. 16WECh. 15.7 - Prob. 17WECh. 15.7 - Prob. 18WECh. 15.7 - Prob. 19WECh. 15.7 - Prob. 20WECh. 15.7 - Prob. 21WECh. 15.7 - Prob. 22WECh. 15.7 - Prob. 23WECh. 15.7 - Prob. 24WECh. 15.7 - Prob. 25WECh. 15.7 - Prob. 26WECh. 15.7 - Prob. 27WECh. 15.7 - Prob. 28WECh. 15.7 - Prob. 29WECh. 15.7 - Prob. 30WECh. 15.7 - Prob. 1MRECh. 15.7 - Prob. 2MRECh. 15.7 - Prob. 3MRECh. 15.7 - Prob. 4MRECh. 15.7 - Prob. 5MRECh. 15.7 - Prob. 6MRECh. 15.7 - Prob. 7MRECh. 15.7 - Prob. 8MRECh. 15.7 - Prob. 9MRECh. 15.7 - Prob. 10MRECh. 15.7 - Prob. 11MRECh. 15.7 - Prob. 12MRECh. 15.7 - Prob. 1CECh. 15.7 - Prob. 2CECh. 15.7 - Prob. 3CECh. 15.7 - Prob. 4CECh. 15.7 - Prob. 5CECh. 15.7 - Prob. 1STCh. 15.7 - Prob. 2STCh. 15.7 - Prob. 3STCh. 15.7 - Prob. 4STCh. 15.7 - Prob. 5STCh. 15.7 - Prob. 6STCh. 15.8 - Prob. 1OECh. 15.8 - Prob. 2OECh. 15.8 - Prob. 1WECh. 15.8 - Prob. 2WECh. 15.8 - Prob. 3WECh. 15.8 - Prob. 4WECh. 15.8 - Prob. 5WECh. 15.8 - Prob. 6WECh. 15.8 - Prob. 7WECh. 15.8 - Prob. 8WECh. 15.8 - Prob. 9WECh. 15.8 - Prob. 10WECh. 15.8 - Prob. 11WECh. 15.8 - Prob. 12WECh. 15.8 - Prob. 13WECh. 15.8 - Prob. 14WECh. 15.8 - Prob. 15WECh. 15.8 - Prob. 16WECh. 15.9 - Prob. 1OECh. 15.9 - Prob. 2OECh. 15.9 - Prob. 3OECh. 15.9 - Prob. 4OECh. 15.9 - Prob. 5OECh. 15.9 - Prob. 6OECh. 15.9 - Prob. 7OECh. 15.9 - Prob. 8OECh. 15.9 - Prob. 9OECh. 15.9 - Prob. 10OECh. 15.9 - Prob. 11OECh. 15.9 - Prob. 1WECh. 15.9 - Prob. 2WECh. 15.9 - Prob. 3WECh. 15.9 - Prob. 4WECh. 15.9 - Prob. 5WECh. 15.9 - Prob. 6WECh. 15.9 - Prob. 7WECh. 15.9 - Prob. 8WECh. 15.9 - Prob. 9WECh. 15.9 - Prob. 10WECh. 15.9 - Prob. 11WECh. 15.9 - Prob. 12WECh. 15.9 - Prob. 13WECh. 15.9 - Prob. 14WECh. 15.9 - Prob. 1MRECh. 15.9 - Prob. 2MRECh. 15.9 - Prob. 3MRECh. 15.9 - Prob. 4MRECh. 15.9 - Prob. 5MRECh. 15.9 - Prob. 6MRECh. 15.9 - Prob. 7MRECh. 15.9 - Prob. 8MRECh. 15.9 - Prob. 1CECh. 15.9 - Prob. 2CECh. 15.9 - Prob. 3CECh. 15.9 - Prob. 4CECh. 15.9 - Prob. 5CECh. 15.9 - Prob. 6CECh. 15.9 - Prob. 1.1ECh. 15.9 - Prob. 1.2ECh. 15.9 - Prob. 1.3ECh. 15.9 - Prob. 1.4ECh. 15.9 - Prob. 1.5ECh. 15.9 - Prob. 1.6ECh. 15.9 - Prob. 2.1ECh. 15.9 - Prob. 2.2ECh. 15.9 - Prob. 2.3ECh. 15.9 - Prob. 2.4ECh. 15.9 - Prob. 2.5ECh. 15.9 - Prob. 2.6ECh. 15.9 - Prob. 2.7ECh. 15.9 - Prob. 2.8ECh. 15.10 - Prob. 1OECh. 15.10 - Prob. 2OECh. 15.10 - Prob. 3OECh. 15.10 - Prob. 4OECh. 15.10 - Prob. 5OECh. 15.10 - Prob. 1WECh. 15.10 - Prob. 2WECh. 15.10 - Prob. 3WECh. 15.10 - Prob. 4WECh. 15.10 - Prob. 5WECh. 15.10 - Prob. 6WECh. 15.10 - Prob. 7WECh. 15.10 - Prob. 8WECh. 15.10 - Prob. 9WECh. 15.10 - Prob. 10WECh. 15.10 - Prob. 11WECh. 15.10 - Prob. 12WECh. 15.10 - Prob. 13WECh. 15.10 - Prob. 14WECh. 15.10 - Prob. 15WECh. 15.10 - Prob. 16WECh. 15.10 - Prob. 17WECh. 15.10 - Prob. 1STCh. 15.10 - Prob. 2STCh. 15.10 - Prob. 3STCh. 15.10 - Prob. 1ECh. 15.10 - Prob. 2ECh. 15 - Prob. 1CRCh. 15 - Prob. 2CRCh. 15 - Prob. 3CRCh. 15 - Prob. 4CRCh. 15 - Prob. 5CRCh. 15 - Prob. 6CRCh. 15 - Prob. 7CRCh. 15 - Prob. 8CRCh. 15 - Prob. 9CRCh. 15 - Prob. 10CRCh. 15 - Prob. 11CRCh. 15 - Prob. 12CRCh. 15 - Prob. 1CTCh. 15 - Prob. 2CTCh. 15 - Prob. 3CTCh. 15 - Prob. 4CTCh. 15 - Prob. 5CTCh. 15 - Prob. 6CTCh. 15 - Prob. 7CTCh. 15 - Prob. 8CTCh. 15 - Prob. 9CTCh. 15 - Prob. 10CTCh. 15 - Prob. 11CT

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