3rd Edition

ISBN: 9780135188927

Author: Gould, Robert, Ryan, Colleen N. (colleen Nooter)

Publisher: Pearson,

Concept explainers

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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Textbook Question

Chapter 4, Problem 22SE

Train Tickets The table for part (a) shows distances between selected cities and the cost of a business class train ticket for travel between these cities.

a. Calculate the correlation coefficient for the data shown in the table by using a computer or statistical calculator.

Chapter 4, Problem 22SE, Train Tickets The table for part (a) shows distances between selected cities and the cost of a , example 1

b. The table for part (b) shows the same information, except that the distance was converted to kilometers by multiplying the number of miles by 1.609. What happens to the correlation when the numbers are multiplied by a constant?

Chapter 4, Problem 22SE, Train Tickets The table for part (a) shows distances between selected cities and the cost of a , example 2

c. Suppose a surcharge is added to every train ticket to fund track maintenance. A fee of $20 is added to each ticket, no matter how long the trip is. The following table shows the new data. What happens to the correlation coefficient when a constant is added to each number?

Chapter 4, Problem 22SE, Train Tickets The table for part (a) shows distances between selected cities and the cost of a , example 3

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Chapter 4, Problem 21SE

Chapter 4, Problem 23SE

Chapter 4 Solutions

Introductory Statistics

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Solution Summary: The author explains how to calculate the correlation coefficient between distance and cost of business class train tickets using Excel.

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