Intro STATS, Books a la Carte Plus New Mystatlab with Pearson Etext -- Access Card Package

4th Edition

ISBN: 9780321869852

Author: Richard D. De Veaux

Publisher: PEARSON

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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.

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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.

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Textbook Question

Chapter 6, Problem 31E

Correlation errors Your Economics instructor assigns your class to investigate factors associated with the gross domestic product (GDP) of nations. Each student examines a different factor (such as Life Expectancy, Literacy Rate, etc.) for a few countries and reports to the class. Apparently, some of your classmates do not understand statistics very well because you know several of their conclusions are incorrect. Explain the mistakes in their statements:

a) “My very low correlation of –0.772 shows that there is almost no association between GDP and Infant Mortality Rate.”
b) “There was a correlation of 0.44 between GDP and Continent.”

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Chapter 6, Problem 30E

Chapter 6, Problem 32E

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Chapter 6 Solutions

Intro STATS, Books a la Carte Plus New Mystatlab with Pearson Etext -- Access Card Package

Ch. 6.2 - Your statistics instructor tells you that the...Ch. 6.2 - Your statistics instructor tells you that the...Ch. 6.2 - Your statistics instructor tells you that the...Ch. 6.2 - Prob. 4JC Ch. 6.2 - Prob. 5JC Ch. 6 - Association Suppose you were to collect data for...Ch. 6 - Association II Suppose you were to collect data...Ch. 6 - Bookstore sales Consider the following data from a...Ch. 6 - Prob. 4E Ch. 6 - Prob. 5E

Ch. 6 - Correlation facts II If we assume that the...Ch. 6 - Prob. 7E Ch. 6 - Prob. 8E Ch. 6 - Prob. 9E Ch. 6 - Prob. 10E Ch. 6 - Association III Suppose you were to collect data...Ch. 6 - Prob. 12E Ch. 6 - Prob. 13E Ch. 6 - Prob. 14E Ch. 6 - Prob. 15E Ch. 6 - Prob. 16E Ch. 6 - Firing pottery A ceramics factory can fire eight...Ch. 6 - Coffee sales Owners of a new coffee shop tracked...Ch. 6 - Matching Here are several scatterplots. The...Ch. 6 - Matching II Here are several scatterplots. The...Ch. 6 - Prob. 21E Ch. 6 - Car thefts The National Insurance Crime Bureau...Ch. 6 - Prob. 23E Ch. 6 - Antidepressants A study compared the effectiveness...Ch. 6 - Streams and hard water In a study of streams in...Ch. 6 - Traffic headaches A study of traffic delays in 68...Ch. 6 - Cold nights Is there an association between time...Ch. 6 - Association V A researcher investigating the...Ch. 6 - Prob. 29E Ch. 6 - Prob. 30E Ch. 6 - Correlation errors Your Economics instructor...Ch. 6 - More correlation errors Students in the Economics...Ch. 6 - Height and reading A researcher studies children...Ch. 6 - Prob. 34E Ch. 6 - Correlation conclusions I The correlation between...Ch. 6 - Prob. 36E Ch. 6 - Prob. 37E Ch. 6 - Sample survey A polling organization is checking...Ch. 6 - Income and housing The Office of Federal Housing...Ch. 6 - Prob. 40E Ch. 6 - 41. Fuel economy 2010 Here are advertised...Ch. 6 - Drug abuse A survey was conducted in the United...Ch. 6 - Prob. 43E Ch. 6 - Burgers again In the previous exercise you...Ch. 6 - Prob. 45E Ch. 6 - 46. Second inning 2010 Perhaps fans are just more...Ch. 6 - Prob. 47E Ch. 6 - Prob. 48E Ch. 6 - Prob. 49E Ch. 6 - Vehicle weights The Minnesota Department of...Ch. 6 - Prob. 51E Ch. 6 - Prob. 52E

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Solution Summary: The author explains that there is no association between GDP and infant mortality rate. The correlation coefficient is –0.772, which indicates a moderately good, negative association.

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