Elementary Statistics: Picturing the World (7th Edition)
7th Edition
ISBN: 9780134683416
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
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Textbook Question
Chapter 9, Problem 9.1.1RE
In Exercises 1–4, (a) display the data in a
1. The numbers of pass attempts and passing yards for seven professional quarterbacks for a recent regular season (Sourer: National Football League)
a.
Expert Solution
To determine
To construct: The scatterplot for the variables the numbers of pass attempts and passing yards.
Answer to Problem 9.1.1RE
Output using the MINITAB software is given below:
Explanation of Solution
Given info:
The data shows the numbers of pass attempts (x) and passing yards (y) values.
Calculation:
Software procedure:
Step by step procedure to obtain scatterplot using the MINITAB software:
- Choose Graph > Scatterplot.
- Choose Simple and then click OK.
- Under Y variables, enter a column of Passing yards.
- Under X variables, enter a column of Pass attempts.
- Click OK.
From the scatterplot, it is observed that as pass attempts increases, the passing yards also increases.
b.
Expert Solution
To determine
To find: The value of the linear correlation coefficient r.
Answer to Problem 9.1.1RE
The linear correlation coefficient r is 0.917.
Explanation of Solution
Calculation:
Correlation coefficient r:
Software procedure:
Step-by-step procedure to obtain the ‘correlation coefficient’ using the MINITAB software:
- Select Stat > Basic Statistics > Correlation.
- In Variables, select Pass attempts and Passing yards from the box on the left.
- Click OK.
Output using the MINITAB software is given below:
Thus, the Pearson correlation of the numbers of pass attempts and passing yards is 0.917 and P-value is 0.004.
c.
Expert Solution
To determine
To describe: The type of linear association between the numbers of pass attempts and passing yards.
To interpret: The linear association between the numbers of pass attempts and passing yards.
Answer to Problem 9.1.1RE
There is a strong positive linear correlation between the numbers of pass attempts and passing yards.
As the numbers of pass attempts increase then the passing yards also increase.
Explanation of Solution
From, the scatterplot in part (a), it is observed that the horizontal axis represents the numbers of pass attempts and vertical axis represents the numbers of the passing yards. Also, it is observed that the numbers of pass attempts increase then the passing yards also increase. Also, the data points are scattered closely.
From part (b), it is observed that the linear correlation between the numbers of pass attempts and passing yards is 0.917.
Thus, there is a strong positive linear correlation between the numbers of pass attempts and passing yards
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Chapter 9 Solutions
Elementary Statistics: Picturing the World (7th Edition)
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...
Ch. 9.1 - Give examples of two variables that have perfect...Ch. 9.1 - Explain how to determine whether a sample...Ch. 9.1 - Discuss the difference between r and p.Ch. 9.1 - What are the null and alternate hypotheses for a...Ch. 9.1 - In your own words, what does it mean to say...Ch. 9.1 - Graphical Analysis In Exercises 912, determine...Ch. 9.1 - Graphical Analysis In Exercises 912, determine...Ch. 9.1 - Graphical Analysis In Exercises 912, determine...Ch. 9.1 - Graphical Analysis In Exercises 912, determine...Ch. 9.1 - In Exercises 13 and 14, identify the explanatory...Ch. 9.1 - In Exercises 13 and 14, identify the explanatory...Ch. 9.1 - Graphical Analysis In Exercises 1518, the scatter...Ch. 9.1 - Graphical Analysis In Exercises 1518, the scatter...Ch. 9.1 - Graphical Analysis In Exercises 1518, the scatter...Ch. 9.1 - Graphical Analysis In Exercises 1518, the scatter...Ch. 9.1 - In Exercises 1922, two variables are given that...Ch. 9.1 - In Exercises 1922, two variables are given that...Ch. 9.1 - In Exercises 1922, two variables are given that...Ch. 9.1 - In Exercises 1922, two variables are given that...Ch. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - Constructing a Scatter Plot and Determining...Ch. 9.1 - In Exercise 23, add data for a child who is 6...Ch. 9.1 - In Exercise 24, remove the data for the girl who...Ch. 9.1 - In Exercise 25, remove the data for the...Ch. 9.1 - In Exercise 26, add data for an international...Ch. 9.1 - The t-Test for Correlation Coefficients In...Ch. 9.1 - The t-Test for Correlation Coefficients In...Ch. 9.1 - The t-Test for Correlation Coefficients In...Ch. 9.1 - The t-Test for Correlation Coefficients In...Ch. 9.1 - Interchanging x and y In Exercise 26, let the time...Ch. 9.1 - Generate a new data set. 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