7th Edition

ISBN: 9780135901021

Author: Larson

Publisher: PEARSON EDUCATION (COLLEGE)

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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 9.1, Problem 36E

The t-Test for Correlation Coefficients In Exercises 33–36, perform a hypothesis test using Table 5 in Appendix B to make a conclusion about the correlation coefficient.

36. Maximal Strength and Sprint Performance The table in Exercise 26 shows the maximum weights (in kilograms) for which one repetition of a half squat can be performed and the times (in seconds) to run a 10-meter sprint for 12 international soccer players. At a = 0.01, is there enough evidence to conclude that there is a significant linear correlation between the data? (Use the value of r found in Exercise 26.)

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Chapter 9.1, Problem 35E

Chapter 9.1, Problem 37E

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Testing for a Difference in Pulse Rates Exercise 6.250 describes pulse rates collected from 10 students, once during a quiz and once during a lecture. The data are given in Table 6.23 and stored in QuizPulse10. We might expect mean pulse rates to increase under the stress of a quiz. Use the information in Exercise 6.250 and the data in Table 6.23 to test whether the data provide sufficient evidence to support this claim. Table6.23 Quiz and lecture pulse rates for 10 students Student 1 2 3 4 5 6 7 8 9 10 Mean Std. Dev. Quiz 75 52 52 80 56 90 76 71 70 66 68.8 12.5 Lecture 73 53 47 88 55 70 61 75 61 78 66.1 12.8

Chapter 9 Solutions

MYLAB STATISTICS: ELEMENTARY STATISTICS

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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Solution Summary: The author concludes that there is a linear correlation between the maximum weight for one repetition of the half squat and time to run the 10-meter sprint.

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