Introduction To Probability And Statistics
15th Edition
ISBN: 9781337554428
Author: Mendenhall, William.
Publisher: Cengage Learning,
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Chapter 3.2, Problem 9E
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To calculate the value of
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Testing for a Linear Correlation. In Exercises 13–28, construct a scatterplot, and find the value of the linear correlation coefficient r. Also find the P-value or the critical values of r from Table A-6. Use a significance level of α = 0.05. Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables. (Save your work because the same data sets will be used in Section 10-2 exercises.)
Pizza and the Subway The “pizza connection” is the principle that the price of a slice of pizza in New York City is always about the same as the subway fare. Use the data listed below to determine whether there is a significant linear correlation between the cost of a slice of pizza and the subway fare.
Testing for a Linear Correlation. In Exercises 13–28, construct a scatterplot, and find the value of the linear correlation coefficient r. Also find the P-value or the critical values of r from Table A-6. Use a significance level of α = 0.05. Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables. (Save your work because the same data sets will be used in Section 10-2 exercises.)
Sports Diameters (cm), circumferences (cm), and volumes (cm3) from balls used in different sports are listed in the table below. Is there sufficient evidence to conclude that there is a linear correlation between diameters and circumferences? Does the scatterplot confirm a linear association?
Life Expectancies A random sample of nonindustrialized countries was selected, and the life expectancy in years is listed for both men and women.
Men
61.7
42.8
72.6
57.9
55.4
62.1
Women
50.4
74.2
75.3
75.4
49.1
65.2
The correlation coefficient for the data is r=−0.003and =α0.05. Should regression analysis be done?
The regression analysis should not be done.
The regression analysis should be done.
Find the equation of the regression line. Round the coefficients to at least three decimal places.
a=
b=
Find women's life expectancy in a country where men's life expectancy = 63 years. Round your answer to at least three decimal places.
Women's life expectancy is years.
Chapter 3 Solutions
Introduction To Probability And Statistics
Ch. 3.1 - Side-by-Side Bar Charts Use side-by-side bar...Ch. 3.1 - Side-by-Side Bar Charts Use side-by-side bar...Ch. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Stacked Bar Charts Use stacked bar charts to...Ch. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Consumer SpendingThe following table shows...Ch. 3.1 - Prob. 10E
Ch. 3.1 - M&M’S The color distributions for two...Ch. 3.1 - Prob. 12ECh. 3.1 - Prob. 13ECh. 3.1 - Prob. 14ECh. 3.1 - Prob. 15ECh. 3.2 - Prob. 1ECh. 3.2 - Prob. 2ECh. 3.2 - Prob. 3ECh. 3.2 - Prob. 4ECh. 3.2 - Prob. 5ECh. 3.2 - Prob. 6ECh. 3.2 - Prob. 7ECh. 3.2 - Prob. 8ECh. 3.2 - Prob. 9ECh. 3.2 - Prob. 10ECh. 3.2 - Prob. 11ECh. 3.2 - Prob. 12ECh. 3.2 - Prob. 13ECh. 3.2 - Prob. 14ECh. 3.2 - Prob. 15ECh. 3.2 - Prob. 16ECh. 3.2 - Prob. 17ECh. 3.2 - Independent and Dependent Variables Identify which...Ch. 3.2 - Prob. 19ECh. 3.2 - Prob. 20ECh. 3.2 - Prob. 21ECh. 3.2 - Prob. 22ECh. 3.2 - Prob. 23ECh. 3.2 - Prob. 24ECh. 3.2 - Prob. 25ECh. 3.2 - Prob. 26ECh. 3.2 - Prob. 27ECh. 3.2 - Prob. 28ECh. 3 - Prob. 1RWYLCh. 3 - Prob. 2RWYLCh. 3 - Prob. 3RWYLCh. 3 - Prob. 4RWYLCh. 3 - Prob. 5RWYLCh. 3 - Prob. 6RWYLCh. 3 - Prob. 7RWYLCh. 3 - Prob. 8RWYLCh. 3 - Prob. 9RWYLCh. 3 - Prob. 10RWYLCh. 3 - Prob. 11RWYLCh. 3 - Prob. 12RWYLCh. 3 - Armspan and Height Leonardo da Vinci(14521519)...Ch. 3 - Prob. 14RWYLCh. 3 - Prob. 15RWYLCh. 3 - Prob. 16RWYLCh. 3 - Movie Money Does the amount of moneya movie makes...Ch. 3 - Prob. 18RWYLCh. 3 - Prob. 19RWYLCh. 3 - Prob. 20RWYLCh. 3 - Prob. 1CSCh. 3 - Prob. 2CSCh. 3 - Prob. 3CS
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- Alumni Contributions The director of an alumni association for a small college wants to determine whether there is any type of relationship between the amount of an alumnus's contribution (in dollars) and the number of years the alumnus has been out of school. The data follow. The regression line equation is =y′−465.24448.008x . The correlation coefficient is =r−0.879 . Compute the standard error of the estimate rounded to at least two decimal places, if appropriate. Assume =α0.05 . Years, x 1 7 3 6 10 Contribution, y 500 100 300 50 80 Chose the best option for the given data. A) The standard error of the estimate should not be calculated B) The standard error of the estimate should be calculated S est =arrow_forwardTesting for a Linear Correlation. In Exercises 13–28, construct a scatterplot, and find the value of the linear correlation coefficient r. Also find the P-value or the critical values of r from Table A-6. Use a significance level of α = 0.05. Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables. (Save your work because the same data sets will be used in Section 10-2 exercises.) Old Faithful Listed below are duration times (seconds) and time intervals (min) to the next eruption for randomly selected eruptions of the Old Faithful geyser in Yellowstone National Park. Is there sufficient evidence to conclude that there is a linear correlation between duration times and interval after times?arrow_forwardTesting for a Linear Correlation. In Exercises 13–28, construct a scatterplot, and find the value of the linear correlation coefficient r. Also find the P-value or the critical values of r from Table A-6. Use a significance level of α = 0.05. Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables. (Save your work because the same data sets will be used in Section 10-2 exercises.) Tips Listed below are amounts of bills for dinner and the amounts of the tips that were left. The data were collected by students of the author. Is there sufficient evidence to conclude that there is a linear correlation between the bill amounts and the tip amounts? If everyone were to tip with the same percentage, what should be the value of r?arrow_forward
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