1st Edition

ISBN: 9781285187273

Author: Camm, Jeff.

Publisher: Cengage Learning,

See similar textbooks

Videos

Textbook Question

Chapter 4, Problem 15P

The U.S. Department of Energy’s Fuel Economy Guide provides fuel efficiency data for cars and trucks. A portion of the data for 311 compact, midsized, and large cars follows. The Class column identifies the size of the car: Compact, Midsize, or Large. The Displacement column shows the engine’s displacement in liters. The FuelType column shows whether the car uses premium (P) or regular (R) fuel, and the HwyMPG column shows the fuel efficiency rating for highway driving in terms of miles per gallon. The complete data set is contained in the tile FuelData:

Chapter 4, Problem 15P, The U.S. Department of Energys Fuel Economy Guide provides fuel efficiency data for cars and trucks.

a. Develop an estimated regression equation that can be used to predict the fuel efficiency for highway driving given the engine’s displacement. Test for significance using the 0.05 level of significance. How much of the variation in the sample values of HwyMPG does this estimated regression equation explain?
b. Create a scatter chart with HwyMPG on the y-axis and displacement on the x-axis for which the points representing compact, midsize, and large automobiles are shown in different shapes and/or colors. What does this chart suggest about the relationship between the class of automobile (compact, midsize, and large) and HwyMPG?
c. Now consider the addition of the dummy variables ClassMidsize and ClassLarge to the simple linear regression model in part (a). The value of ClassMidsize is 1 if the car is a midsize car and 0 otherwise; the value of ClassLarge is 1 if the car is a large car and 0 otherwise. Thus, for a compact car, the value of ClassMidsize and the value of ClassLarge are both 0. Develop the estimated regression equation that can be used to predict the fuel efficiency for highway driving, given the engine’s displacement and the dummy variables ClassMidsize and ClassLarge. How much of the variation in the sample values of HwyMPG is explained by this estimated regression equation?
d. Use significance level of 0.05 to determine whether the dummy variables added to the model in part (c) are significant.
e. Consider the addition of the dummy variable FuelPremium, where the value of FuelPremium is 1 if the car uses premium fuel and 0 if the car uses regular fuel. Develop the estimated regression equation that can be used to predict the fuel efficiency for highway driving given the engine’s displacement, the dummy variables ClassMidsize and ClassLarge, and the dummy variable FuelPremium. How much of the variation in the sample values of HwyMPG does this estimated regression equation explain?
f. For the estimated regression equation developed in part (e), test for the significance of the relationship between each of the independent variables and the dependent variable using the 0.05 level of significance for each test.

Expert Solution & Answer

Trending nowThis is a popular solution!

See solution

Check out sample textbook solution

Chapter 4, Problem 14P

Chapter 4, Problem 16P

Students have asked these similar questions

NC Current Students - North Ce X | NC Canvas Login Links - North ( X Final Exam Comprehensive x Cengage Learning x WASTAT - Final Exam - STAT → C webassign.net/web/Student/Assignment-Responses/submit?dep=36055360&tags=autosave#question3659890_9 Part (b) Draw a scatter plot of the ordered pairs. N Life Expectancy Life Expectancy 80 70 600 50 40 30 20 10 Year of 1950 1970 1990 2010 Birth O Life Expectancy Part (c) 800 70 60 50 40 30 20 10 1950 1970 1990 W ALT 林 $ # 4 R J7 Year of 2010 Birth F6 4+ 80 70 60 50 40 30 20 10 Year of 1950 1970 1990 2010 Birth Life Expectancy Ox 800 70 60 50 40 30 20 10 Year of 1950 1970 1990 2010 Birth hp P.B. KA & 7 80 % 5 H A B F10 711 N M K 744 PRT SC ALT CTRL

Harvard University California Institute of Technology Massachusetts Institute of Technology Stanford University Princeton University University of Cambridge University of Oxford University of California, Berkeley Imperial College London Yale University University of California, Los Angeles University of Chicago Johns Hopkins University Cornell University ETH Zurich University of Michigan University of Toronto Columbia University University of Pennsylvania Carnegie Mellon University University of Hong Kong University College London University of Washington Duke University Northwestern University University of Tokyo Georgia Institute of Technology Pohang University of Science and Technology University of California, Santa Barbara University of British Columbia University of North Carolina at Chapel Hill University of California, San Diego University of Illinois at Urbana-Champaign National University of Singapore McGill…

Name Harvard University California Institute of Technology Massachusetts Institute of Technology Stanford University Princeton University University of Cambridge University of Oxford University of California, Berkeley Imperial College London Yale University University of California, Los Angeles University of Chicago Johns Hopkins University Cornell University ETH Zurich University of Michigan University of Toronto Columbia University University of Pennsylvania Carnegie Mellon University University of Hong Kong University College London University of Washington Duke University Northwestern University University of Tokyo Georgia Institute of Technology Pohang University of Science and Technology University of California, Santa Barbara University of British Columbia University of North Carolina at Chapel Hill University of California, San Diego University of Illinois at Urbana-Champaign National University of Singapore…

Chapter 4 Solutions

Essentials Of Business Analytics

Ch. 4 - Bicycling World, a magazine devoted to cycling,...Ch. 4 - In a manufacturing process the assembly line speed...Ch. 4 - Jensen Tire Auto is deciding whether to purchase...Ch. 4 - A sociologist was hired by a large city hospital...Ch. 4 - The regional transit authority for a major...Ch. 4 - A marketing professor at Givens College is...Ch. 4 - The Dow Jones Industrial Average (DJIA) and the...Ch. 4 - The Toyota Camry is one of the best-selling cars...Ch. 4 - Dixie Showtime Movie Theaters, Inc., owns and...Ch. 4 - Prob. 10P

Ch. 4 - The American Association of Individual Investors...Ch. 4 - The National Football League (NFL) records a...Ch. 4 - Johnson Filtration. Inc., provides maintenance...Ch. 4 - A study investigated the relationship between...Ch. 4 - The U.S. Department of Energys Fuel Economy Guide...Ch. 4 - A highway department is studying the relationship...Ch. 4 - A sample containing years to maturity and...Ch. 4 - In 2011, home prices and mortgage rates fell so...Ch. 4 - A recent 10-year study conducted by a research...Ch. 4 - The Scholastic Aptitude Test (or SAT) is a...Ch. 4 - Consider again the example introduced in Section...Ch. 4 - Alumni donations are an important source of...

Knowledge Booster

$Statistics$

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.