Concept explainers
a.
To explain: The
a.
Answer to Problem 3OE
The correlation between a high school student’s height and weightis positive.
Explanation of Solution
Given information:
The variables height and weight of a high school student.
Consider the variables height and weight of a high school student.
It is observed that as height increases the weight of a student also increases because of amount of nutrition taken for brain development.
When one variable increase and other also increases so there is a
Thus, the correlation between a high school student’s height and weight is positive.
b.
To explain: The correlation between a car’s age and its value.
b.
Answer to Problem 3OE
The correlation between a car’s age and its valueis negative.
Explanation of Solution
Given information:
The variables age and value of a car.
Consider the variables age and value of a car.
It is observed that as age of car increases its value depreciates. Car being an object requires maintenance every year. Every year new cars are manufactured. So as age of car increase its value in the market decreases.
When one variable increase and other decreases so there is a
Thus, the correlation between a car’s age and its value is negative.
c.
To explain: The correlation between a team’s standing in its conference and the attendance at its games.
c.
Answer to Problem 3OE
The correlation between a team’s standing in its conference and the attendance at its gamesis close to zero.
Explanation of Solution
Given information:
The variables a team’s standing in its conference and the attendance at its games.
Consider the variables a team’s standing in its conference and the attendance at its games.
Team members standing in conference are not necessary playing the games.
They must be stand by members or supportive members.
When two variablesassume seemingly random values the
Thus, the correlation between a team’s standing in its conference and the attendance at its games is close to zero.
d.
To explain: The correlation between a state’s monthly temperature averages and precipitation totals.
d.
Answer to Problem 3OE
The correlation between a state’s monthly temperature averages and precipitation totalsis negative.
Explanation of Solution
Given information:
The variables state’s monthly temperature averages and precipitation totals.
Consider the variables state’s monthly temperature averages and precipitation totals.
It is observed that when the temperature is low the precipitation is more likely to occur.
When temperature is high the precipitation is not likely to occur.
When one variable increase and other decreases so there is a negative correlation between the variables.
Thus, the correlation between state’s monthly temperature averages and precipitation totalsis negative.
e.
To explain: The correlation between a company’s advertising budget and its volume of sales.
e.
Answer to Problem 3OE
The correlation between a company’s advertising budget and its volume of salesis positive.
Explanation of Solution
Given information:
The variables company’s advertising budget and its volume of sales.
Consider the variables company’s advertising budget and its volume of sales.
It is observed that as advertising budget increase so its sales also increase as more people are attracted to it and get to know about the company.
When one variable increase and other also increases so there is a positive correlation between the variables.
Thus, the correlation between a company’s advertising budget and its volume of salesis positive.
Chapter 15 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
Additional Math Textbook Solutions
Elementary Algebra: Concepts and Applications (10th Edition)
Elementary and Intermediate Algebra
Elementary Algebra
College Algebra with Modeling & Visualization (5th Edition)
Intermediate Algebra (7th Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education