A corporation has asked you to prepare some multiple regression equations to estimate the effect of variables on fuel economy. The data for this study are shown below, and the dependent variable is miles per gallon. Complete parts a and b. Miles 43.8 36.7 32 39.6 36.5 19.8 19.2 20.3 19.7 20.9 Horsepower 47 67 51 71 62 109 140 136 100 96 Weight 2000 1900 1995 2100 1880 3365 3765 3565 3170 2710 a. Prepare a regression equation that uses vehicle horsepower and vehicle weight as independent variables. Let x1 be defined as horsepower and x2 be defined as weight. ? = ( ) + ( )x1 + ( )x2 (Round to four decimal places as needed.)
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Step 1: Identify the dependent variable and independent variables - Dependent variable: miles per gallon (MPG) - Independent variables: horsepower (X1) and weight (X2) Show more…
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A corporation has asked you to prepare some multiple regression equations to estimate the effect of variables on fuel economy. The data for this study are shown below, and the dependent variable is miles per gallon. Complete parts a and b. Miles 43.5 36.2 32.9 39.9 36.7 19.6 19.8 20.4 19.9 20.2 Horsepower 49 69 50 72 61 109 142 139 101 98 Weight 1980 1890 1990 2090 1890 3365 3760 3580 3160 2730 a. Prepare a regression equation that uses vehicle horsepower and vehicle weight as independent variables. Let x1 be defined as horsepower and x2 be defined as weight. ŷ = ( ) + ( )x1 + ( )x2 (Round to four decimal places as needed.)
Sri K.
Transportation Research, Inc., has asked you to prepare some multiple regression equations to estimate the effect of variables on fuel economy. The data for this study are contained in the data file Motors, and the dependent variable is miles per gallon - milpgal - as established by the Department of Transportation certification. a. Prepare a regression equation that uses vehicle horsepower-horspwer - and vehicle weight- weight-as independent variables. Interpret the coefficients. b. Prepare a second biased regression with vehicle weight not included. What can you conclude about the coefficient of horsepower?
A study compared the speed (in miles per hour) and the average fuel economy (in miles per gallon) for cars. The results are shown in the table. Speed 15 20 25 30 35 40 45 50 55 60 65 70 Fuel Economy 22.3 25.5 27.5 29.0 28.8 30.0 29.9 30.2 30.4 28.8 27.4 25.3 a. Calculate the correlation coefficient and determine the type of linear relationship between the variables, if any. b. Interpret your result in (a). c. Find the regression line for this data. USE 4 DECIMAL PLACES FOR THE SLOPE AND Y-INTERCEPT VALUES. d. Using the regression line in (c), predict the mpg if the speed is 90 mph. Approximate your answer to the nearest mile per gallon. e. Using the regression line in (c), predict the speed if the fuel economy is 23.75 mpg. Approximate your answer to the nearest mile per hour.
Adi S.
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