The US Department of Energy's Fuel Economy Guide provides fuel efficiency data for cars and trucks.A portion of the data for several standard pickup trucksis listed below (scroll down).The column labeled Displacement shows the engine's displacement in liters indicating its size and power, the column labeled Transmission shows whether the truck has automatic transmission or a manual transmission and the column labeled Cylinders specifies the number of cylinders the engine has.The column labeled City mpg shows the fuel efficiency rating for the truck for city driving in terms of miles per gallon (mpg).

part a)Develop an estimated regression equation that can be used to predict the fuel efficiency given the engine's displacement and the transmission of the truck.Write down the model equation below.

part b)Provide an interpretation for the coefficient of each independent variable in the model developed in part (a)

part c) Next, using all the variables provided, develop an estimated regression equation to predict fuel efficiency

part d) Comment on the significance of the model and the variables, for the model developed in part (c).

Displacement Transmission Cylinders CityMPG 4.3 Auto 6 15 4.3 Manual 6 15 4.8 Auto 8 15 4.8 Manual 8 16 5.3 Auto 8 11 5.3 Auto 8 15 5.3 Auto 8 15 5.3 Auto 8 15 6 Auto 8 10 6 Auto 8 10 4.3 Auto 6 16 4.3 Manual 6 15 4.8 Auto 8 15 4.8 Manual 8 16 5.3 Auto 8 11 5.3 Auto 8 15 5.3 Auto 8 15 4.3 Auto 6 14 4.3 Manual 6 14 4.8 Auto 8 14 4.8 Manual 8 14 5.3 Auto 8 10 5.3 Auto 8 13 5.3 Auto 8 14 4.3 Auto 6 15 4.3 Manual 6 14 4.3 Auto 6 15 4.3 Manual 14