Question: please help me!! A statistical program is recommended. The Department of Energy and the U.S. Environmental Protection Agency's 2012 Fuel Economy Guide provides fuel efficiency
please help me!!





A statistical program is recommended. The Department of Energy and the U.S. Environmental Protection Agency's 2012 Fuel Economy Guide provides fuel efficiency data for 2012 model year cars and trucks. The file named 2012FuelEcon provides a portion of the data for 309 cars. The column labeled Manufacturer shows the name of the company that manufactured the car; the column labeled Displacement shows the engine's displacement in liters; the column labeled Fuel shows the required or recommended type of fuel (regular or premium gasoline); the column labeled Drive identifies the type of drive (F for front wheel, R for rear wheel, and A for all-wheel); and the column labeled Hwy MPG shows the fuel efficiency rating for highway driving in terms of miles per gallon. (a) Develop an estimated regression equation that can be used to predict the fuel efficiency (in mpg) for highway driving given the engine's displacement. (Let x] represent the engine's displacement and y represent fuel efficiency. Round your numerical values to one decimal place.) y = Test for significance using a = 0.05. (Use an F test.) State the null and alternative hypotheses. O HO: B, 20 Ha : B1 0 O HO: B 1 = 0 Ha : B , >0 O HO: B 1 = 0 Ha : B1 = 0 O HO: B, so Ha : B, >0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) P-value = State your conclusion. O Do not reject Ho. There is sufficient evidence to conclude that there is a significant relationship. Do not reject Ho. There is insufficient evidence to conclude that there is a significant relationship. O Reject Ho. There is insufficient evidence to conclude that there is a significant relationship. O Reject Ho. There is sufficient evidence to conclude that there is a significant relationship. (b) Consider the addition of the dummy variable FuelPremium, where the value of FuelPremium is 1 if the required or recommended type of fuel is premium gasoline and 0 if the type of fuel is regular gasoline. Develop the estimated regression equation that can be used to predict the fuel efficiency (in mpg) for highway driving given the engine's displacement and the dummy variable FuelPremium. (Let x, represent the engine's displacement, x, represent FuelPremium, and y represent fuel efficiency. Round your numerical values to one decimal place.) y =(b) Consider the addition of the dummy variable FuelPremium, where the value of FuelPremium is 1 if the required or recommended type of fuel is premium gasoline and 0 if the type of fuel is regular gasoline. Develop the estimated regression equation that can be used to predict the fuel efficiency (in mpg) for highway driving given the engine's displacement and the dummy variable FuelPremium. (Let x, represent the engine's displacement, X2 represent FuelPremium, and y represent fuel efficiency. Round your numerical values to one decimal place.) V = (c) Use a = 0.05 to determine whether the dummy variable added in part (b) is significant. State the null and alternative hypotheses. O Ho: B2 = 0 Ha: B2 = 0 O Ho: B2 = 0 Ha : B 2 >0 O HO : B 2 SO Ha : B 2 >0 O HO: B 2 20 Ha : B2 0 O HO : B, 20 Ha : B 1
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