Pearson eText for Elementary Statistics: Picturing the World -- Instant Access (Pearson+)

7th Edition

ISBN: 9780137504329

Author: Ron Larson, Betsy Farber

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.

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 9.3, Problem 7E

In Exercises 7–10, use the value of the correlation coefficient r to calculate the coefficient of determination r². What does this tell you about the explained variation of the data about the regression line? about the unexplained variation?

7. r = 0.465

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Chapter 9.3, Problem 6E

Chapter 9.3, Problem 8E

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Chapter 9 Solutions

Pearson eText for Elementary Statistics: Picturing the World -- Instant Access (Pearson+)

Ch. 9.1 - A director of alumni affairs at a small college...Ch. 9.1 - A researcher conducts a study to determine whether...Ch. 9.1 - Consider the data on page 469 on the salaries and...Ch. 9.1 - Calculate the correlation coefficient for the...Ch. 9.1 - Use technology to calculate the correlation...Ch. 9.1 - In Try It Yourself 4, you calculated the...Ch. 9.1 - In Try It Yourself 5, you calculated the...Ch. 9.1 - Two variables have a positive linear correlation....Ch. 9.1 - Describe the range of values for the correlation...Ch. 9.1 - What does the sample correlation coefficient r...

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In Exercises 7–10, use the value of the correlation coefficient r to calculate the coefficient of determination r 2 . What does this tell you about the explained variation of the data about the regression line? about the unexplained variation? 7. r = 0.465

Solution Summary: The author explains that the coefficient of determination is 0.216, which is the square of the linear correlation coefficient ( r).

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Chapter 9 Solutions