Concept explainers
City Fuel Consumption: Finding the Best Multiple Regression Equation. In Exercises 9-12, refer to the accompanying table, which was obtained using the data from 21 cars listed in Data Set 20 “Car Measurements" in Appendix B. The response (y) variable is CITY (fuel consumption in mi/gal). The predictor (x) variables are WT (weight in pounds), DISP (engine displacement in liters), and HWY (highway fuel consumption in mi/gal).
12. A Honda Civic weighs 2740 lb, it has an engine displacement of 1.8 L, and its highway fuel consumption is 36 mi/gal. What is the best predicted value of the city fuel consumption? Is that predicted value likely to be a good estimate? Is that predicted value likely to be very accurate?
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Chapter 10 Solutions
ELEMENTARY STATS. 18 WEEK ACCESS CODE
- 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_forwardIn a multiple regression analysis with three independent variables (X1, X2, and X3), what is the general form of the regression equation used to model the relationship between the dependent variable (Y) and the independent variables (X1, X2, and X3)?arrow_forwardIn a study of housing demand, the county assessor is interested in developing a regression model to estimate the market value (i.e., selling price) of residential property within his jurisdiction. The assessor feels that the most important variable affecting selling price (measured in thousands of dollars) is the size of house (measured in hundreds of square feet). He randomly selected 15 houses and measured both the selling price and size, as shown in the following table. OBSERVATIONi SELLING PRICE (× $1,000)Y SIZE (× 100 ft2 )X 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 265.2 279.6 311.2 328.0 352.0 281.2 288.4 292.8 356.0 263.2 272.4 291.2 299.6 307.6 320.4 12.0 20.2 27.0 30.0 30.0 21.4 21.6 25.2 37.2 14.4 15.0 22.4 23.9 26.6 30.7 a. Plot the data.b. Determine the estimated regression line. Give an economic interpretation of the estimated slope (b) coefficient.c. Determine if size is a statistically significant variable in estimating selling price.d. Calculate the coefficient…arrow_forward
- NFL Winning Percentage. The National Football League (NFL) records avariety of performance data for individuals and teams. To investigate theimportance of passing on the percentage of games won by a team, the following data show the conference (Conf), average number of passingyards per attempt (Yds/Att), the number of interceptions thrown perattempt (Int/Att), and the percentage of games won (Win%) for a randomsample of 16 NFL teams for one full season. a. Develop the estimated regression equation that could be used topredict the percentage of games won given the average number ofpassing yards per attempt.b. Develop the estimated regression equation that could be used to predict the percentage of games won given the number ofinterceptions thrown per attempt.c. Develop the estimated regression equation that could be used topredict the percentage of games won given the average number ofpassing yards per attempt and the number of interceptions thrown per attempt.d. The average number of…arrow_forwardDevelop a scatter plot between annual household spending and annual income. The scatter diagram should include a proper title, a solid trend line, axis titles, and a regression equation, and the Coefficient of Determination (R –square). Monthly Household Spending ($) Annual Household Income ($) HouseholdSize 4,016 54000 3 3,159 30000 2 5,100 32000 4 4,742 50000 5 1,864 31000 2 4,070 55000 2 2,731 37000 1 3,348 40000 2 4,764 66000 4 4,110 51000 3 4,208 25000 3 4,219 48000 4 2,477 27000 1 2,514 33000 2 4,214 65000 3 4,965 63000 4 4,412 42000 6 2,448 21000 2 2,995 44000 1 4,171 37000 5 5,678 62000 6 3,623 21000 3 5,301 55000 7 3,020 42000 2 4,828 41000 7 5,573 54000 6 2,583 30000 1 3,866 48000 2 3,586 34000 5 5,037 67000 4 3,605 50000 2 5,345 67000 5 5,370 55000 6 3,890 52000 2 4,705 62000 3 4,157 64000 2 3,579 22000 3 3,890 29000 4 2,972 39000 2 3,121 35000 1 4,183 39000 4 3,730 54000 3 4,127…arrow_forwardTheater Revenue. The owner of Showtime Movie Theaters, Inc., would like to predict weekly gross revenue as a function of advertising expenditures. Historical data for a sample of eight weeks follow. Weekly Gross Revenue ($1000s) Television Advertising ($1000s) Newspaper Advertising ($1000s) 96 5.0 1.5 90 2.0 2.0 95 4.0 1.5 92 2.5 2.5 95 3.0 3.3 94 3.5 2.3 94 2.5 4.2 94 3.0 2.5 a. Develop an estimated regression equation with the amount of television advertising as the independent variable. b. Develop an estimated regression equation with both television advertising and newspaper advertising as the independent variables. c. Is the estimated regression equation coefficient for television advertising expenditures the same in Part 1 and in Part 2? Interpret the coefficient in each case. d. Predict weekly gross revenue for a week when $3500 is spent on television advertising and $2300 is spent on newspaper…arrow_forward
- A sample of 20 automobiles was taken, and the miles per gallon (MPG), horsepower, and total weight were recorded. Develop a linear regression model to predict MPG, using horsepower as the only independent variable. Develop another model with weight as the independent variable. Which of these two models is better? Explain. MPG HORSEPOWER WEIGHT 44 67 1,844 44 50 1,998 40 62 1,752 37 69 1,980 37 66 1,797 34 63 2,199 35 90 2,404 32 99 2,611 30 63 3,236 28 91 2,606 26 94 2,580 26 88 2,507 25 124 2,922 22 97 2,434 20 114 3,248 21 102 2,812 18 114 3,382 18 142 3,197 16 153 4,380 16 139 4,036arrow_forwardRegarding the two variables under consideration in a regression analysis, a. what is the dependent variable called? b. what is the independent variable called?arrow_forwardConsumer Research, Inc. Consumer Research, Inc., is an independent agency that conducts research on consumer attitudes and behaviors for a variety of firms. In one study, a client asked for an investigation of consumer characteristics that can be used to predict the amount charged by credit card users. The following data were collected on annual income, household size, and annual credit card charges for a sample of 50 consumers. Managerial Report Use methods of descriptive statistics to summarize the Comment on the findings. Develop estimated regression equations, first using annual income as the independent variable and then using household size as the independent variable. Which variable is the better predictor of annual credit card charges? Discuss your findings. Develop an estimated regression equation with annual income and household size as the independent Discuss your findings. What is the predicted annual credit card charge for a three-person…arrow_forward
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning