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 69SE

Predicting Home Runs Data on the number of home runs, strikeouts, and batting averages for a sample of 50 Major League Baseball players were obtained. Regression analyses were conducted on the relationships between home runs and strikeouts and between home runs and batting averages. The StatCrunch results are shown below. (Source: mlb.com)

Simple linear regression results:

Dependent Variable: Home Runs

Independent Variable: Strikeouts

Home Runs = 0.092770565 + 0.22866236 Strikeouts

Sample size: 50

R (correlation coefficient) = 0.63591835

R-sq = 0.40439215

Estimate of error standard deviation: 8.7661607

Simple linear regression results:

Dependent Variable: Home Runs

Independent Variable: Batting Average

Home Runs = 45.463921 – 71.232795 Batting Average

Sample size: 50

R (correlation coefficient) = – 0.093683651

R-sq = 0.0087766264

Estimate of error standard deviation: 11.30876

Based on this sample, is there a stronger association between home runs and strikeouts or home runs and batting average? Provide a reason for your choice based on the StatCrunch results provided.

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Chapter 4, Problem 68SE

Chapter 4, Problem 70SE

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Chapter 4 Solutions

Introductory Statistics

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