Elementary Statistics: Picturing the World (7th Edition)
7th Edition
ISBN: 9780134683416
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 9.4, Problem 5E
Finding a Multiple Regression Equation In Exercises 5 and 6, use technology to find (a) the multiple regression equation for the data shown in the table, (b) the standard error of estimate, and (c) the coefficient of determination. Interpret the results.
5. Used Cars The table shows the prices (in dollars), age (in years), and mileage (in thousands of miles) of eight pre-owned Honda Civic Sedans.
Price, y | Age, X1 | Mileage, X2 |
9454 | 6 | 91.2 |
10,920 | 5 | 77.1 |
13,929 | 3 | 45.1 |
14,604 | 2 | 37.7 |
11,500 | 4 | 52.1 |
15,308 | 2 | 34.7 |
14,500 | 3 | 35.6 |
14,878 | 3 | 21.6 |
8000 | 9 | 87.9 |
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionChapter 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. Using your knowledge of...Ch. 9.1 - Describe how to create a data set with a value of...Ch. 9.1 - Describe how to create a data set with a value of...Ch. 9.1 - Try to create a data set with a value of r that is...Ch. 9.2 - Find the equation of the regression line for the...Ch. 9.2 - Use technology to find the equation of the...Ch. 9.2 - The regression equation for the Old Faithful data...Ch. 9.2 - What is a residual? Explain when a residual is...Ch. 9.2 - Two variables have a positive linear correlation....Ch. 9.2 - Explain how to predict y-values using the equation...Ch. 9.2 - For a set of data and a corresponding regression...Ch. 9.2 - In order to predict y-values using the equation of...Ch. 9.2 - Why is it not appropriate to use a regression line...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - In Exercises 712, match the description in the...Ch. 9.2 - Graphical Analysis In Exercises 1316, match the...Ch. 9.2 - Graphical Analysis In Exercises 1316, match the...Ch. 9.2 - Graphical Analysis In Exercises 1316, match the...Ch. 9.2 - Graphical Analysis In Exercises 1316, match the...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Finding the Equation of a Regression Line In...Ch. 9.2 - Registered Nurse Salaries In Exercises 2730, use...Ch. 9.2 - Registered Nurse Salaries In Exercises 2730, use...Ch. 9.2 - Registered Nurse Salaries In Exercises 2730, use...Ch. 9.2 - Registered Nurse Salaries In Exercises 2730, use...Ch. 9.2 - Interchanging X and y In Exercises 31 and 32,...Ch. 9.2 - Interchanging X and y In Exercises 31 and 32,...Ch. 9.2 - In Exercises 33 and 34, (a) find the equation of...Ch. 9.2 - In Exercises 33 and 34, (a) find the equation of...Ch. 9.2 - In Exercises 35 and 36, (a) construct a scatter...Ch. 9.2 - Prob. 36ECh. 9.2 - Prob. 37ECh. 9.2 - Prob. 38ECh. 9.2 - Prob. 39ECh. 9.2 - Prob. 40ECh. 9.2 - Prob. 41ECh. 9.2 - Prob. 42ECh. 9.2 - Prob. 43ECh. 9.2 - Prob. 44ECh. 9.2 - Prob. 45ECh. 9.2 - Prob. 46ECh. 9.2 - Prob. 47ECh. 9.2 - Prob. 48ECh. 9.2 - Prob. 1ACh. 9.2 - Prob. 2ACh. 9.2 - Prob. 3ACh. 9.2 - Prob. 4ACh. 9.3 - The correlation coefficient for the Old Faithful...Ch. 9.3 - Prob. 2TYCh. 9.3 - Using the results of Example 2, construct a 95%...Ch. 9.3 - Graphical Analysis In Exercises 13, use the...Ch. 9.3 - Graphical Analysis In Exercises 13, use the...Ch. 9.3 - Graphical Analysis In Exercises 13, use the...Ch. 9.3 - The coefficient of determination r2 is the ratio...Ch. 9.3 - What is the coefficient of determination for two...Ch. 9.3 - Two variables have a bivariate normal...Ch. 9.3 - In Exercises 710, use the value of the correlation...Ch. 9.3 - In Exercises 710, use the value of the correlation...Ch. 9.3 - In Exercises 710, use the value of the correlation...Ch. 9.3 - In Exercises 710, use the value of the correlation...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Finding the Coefficient of Determination and the...Ch. 9.3 - Constructing and Interpreting a Prediction...Ch. 9.3 - Constructing and Interpreting a Prediction...Ch. 9.3 - Constructing and Interpreting a Prediction...Ch. 9.3 - Constructing and Interpreting a Prediction...Ch. 9.3 - STEM Employment and Mean Wage The table shows the...Ch. 9.3 - Constructing and Interpreting a Prediction...Ch. 9.3 - Constructing and Interpreting a Prediction...Ch. 9.3 - Fund Assets The table shows the total assets (in...Ch. 9.3 - New-Vehicle Sales The table shows the numbers of...Ch. 9.3 - New-Vehicle Sales The table shows the numbers of...Ch. 9.3 - Old Vehicles In Exercises 3134, use the figure...Ch. 9.3 - Old Vehicles In Exercises 3134, use the figure...Ch. 9.3 - Old Vehicles In Exercises 3134, use the figure...Ch. 9.3 - Old Vehicles In Exercises 3134, use the figure...Ch. 9.3 - Prob. 35ECh. 9.3 - Prob. 36ECh. 9.3 - Prob. 37ECh. 9.3 - In Exercises 37 and 38, construct the indicated...Ch. 9.4 - A statistics professor wants to determine how...Ch. 9.4 - Use the regression equation found in Try It...Ch. 9.4 - Predicting y-Values In Exercises 14, use the...Ch. 9.4 - Predicting y-Values In Exercises 14, use the...Ch. 9.4 - Prob. 3ECh. 9.4 - Predicting y-Values In Exercises 14, use the...Ch. 9.4 - Finding a Multiple Regression Equation In...Ch. 9.4 - Finding a Multiple Regression Equation In...Ch. 9.4 - In Exercises 7 and 8, calculate r2adi and...Ch. 9.4 - In Exercises 7 and 8, calculate r2adi and...Ch. 9 - In Exercises 14, (a) display the data in a scatter...Ch. 9 - In Exercises 14, (a) display the data in a scatter...Ch. 9 - In Exercises 14, (a) display the data in a scatter...Ch. 9 - In Exercises 14, (a) display the data in a scatter...Ch. 9 - Prob. 9.1.5RECh. 9 - Prob. 9.1.6RECh. 9 - Prob. 9.1.7RECh. 9 - Prob. 9.1.8RECh. 9 - In Exercises 912, find the equation of the...Ch. 9 - Prob. 9.2.10RECh. 9 - In Exercises 912, find the equation of the...Ch. 9 - Prob. 9.2.12RECh. 9 - In Exercises 1316, use the value of the...Ch. 9 - Prob. 9.3.14RECh. 9 - Prob. 9.3.15RECh. 9 - Prob. 9.3.16RECh. 9 - Prob. 9.3.17RECh. 9 - Prob. 9.3.18RECh. 9 - Prob. 9.3.19RECh. 9 - Prob. 9.3.20RECh. 9 - Prob. 9.3.21RECh. 9 - In Exercises 1924, construct the indicated...Ch. 9 - Prob. 9.3.23RECh. 9 - Prob. 9.3.24RECh. 9 - Prob. 9.4.25RECh. 9 - Prob. 9.4.26RECh. 9 - Prob. 9.4.27RECh. 9 - Prob. 9.4.28RECh. 9 - Prob. 1CQCh. 9 - For Exercises 18, use the data in the table, which...Ch. 9 - Prob. 3CQCh. 9 - Prob. 4CQCh. 9 - Prob. 5CQCh. 9 - Prob. 6CQCh. 9 - Prob. 7CQCh. 9 - For Exercises 18, use the data in the table, which...Ch. 9 - Prob. 9CQCh. 9 - Net Sales The equation used to predict the net...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - For Exercises 29, use the data in the table, which...Ch. 9 - Analyzing the Data (a) The data in the table show...Ch. 9 - Making Predictions Construct a 95% prediction...Ch. 9 - Prob. 1TCh. 9 - Prob. 2TCh. 9 - Prob. 3TCh. 9 - Prob. 4TCh. 9 - Prob. 5TCh. 9 - Use technology to find the multiple regression...Ch. 9 - Prob. 7T
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- What is interpolation when using a linear model?arrow_forwardHOW DO YOU SEE IT? Discuss how well a linear model approximates the data shown in each scatter plot.arrow_forwardNeurology The average weight of a male child’s brain is 970 grams at age 1 and 1270 grams at age 3. (a) Assuming that the relationship between brain weight y and age t is linear, write a linear model for the data. (b) What is the slope and what does it tell you about brain weight? (c) Use your model to estimate the average brain weight at age 2. (d) Use your school’s library, the Internet, or some other reference source to find the actual average brain weight at age 2. How close was your estimate? (e) (d) Do you think your model could be used to determine the average brain weight of an adult? Explain.arrow_forward
- Life Expectancy The following table shows the average life expectancy, in years, of a child born in the given year42 Life expectancy 2005 77.6 2007 78.1 2009 78.5 2011 78.7 2013 78.8 a. Find the equation of the regression line, and explain the meaning of its slope. b. Plot the data points and the regression line. c. Explain in practical terms the meaning of the slope of the regression line. d. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 2019? e. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 1580?2300arrow_forwardLife Expectancy The average life expectancy in the United States has been rising steadily over the past few decades, as shown in the table. (a) Make a scatter plot of the data. (b) Find and graph the regression line. (c) Use the linear model you found in part (b) to predict the life expectancy in the year 2006. (d) Search the Internet or your campus library to find the actual 2006 average life expectancy. Compare to your answer in part (c).arrow_forwardWhat is extrapolation when using a linear model?arrow_forward
- Noise and Intelligibility Audiologists study the intelligibility of spoken sentences under different noise levels. Intelligibility, the MRT score, is measured as the percent of a spoken sentence that the listener can decipher at a cesl4ain noise level in decibels (dB). The table shows the results of one such test. (a) Make a scatter plot of the data. (b) Find and graph the regression line. (c) Find the correlation coefficient. Is a linear model appropriate? (d) Use the linear model in put (b) to estimate the intelligibility of a sentence at a 94-dB noise level.arrow_forwardDemand for Candy Bars In this problem you will determine a linear demand equation that describes the demand for candy bars in your class. Survey your classmates to determine what price they would be willing to pay for a candy bar. Your survey form might look like the sample to the left. a Make a table of the number of respondents who answered yes at each price level. b Make a scatter plot of your data. c Find and graph the regression line y=mp+b, which gives the number of respondents y who would buy a candy bar if the price were p cents. This is the demand equation. Why is the slope m negative? d What is the p-intercept of the demand equation? What does this intercept tell you about pricing candy bars? Would you buy a candy bar from the vending machine in the hallway if the price is as indicated. Price Yes or No 50 75 1.00 1.25 1.50 1.75 2.00arrow_forwardFill in the blanks. Statisticians use a measure called the ________ of the ________ ________ to find a model that approximates a set of data most accurately.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Correlation Vs Regression: Difference Between them with definition & Comparison Chart; Author: Key Differences;https://www.youtube.com/watch?v=Ou2QGSJVd0U;License: Standard YouTube License, CC-BY
Correlation and Regression: Concepts with Illustrative examples; Author: LEARN & APPLY : Lean and Six Sigma;https://www.youtube.com/watch?v=xTpHD5WLuoA;License: Standard YouTube License, CC-BY