Consumers are often interested in the fuel efficiency of the vehicles they choose to buy, so much so that they will research the various models they consider buying. Fuel efficiency can depend on a...

Consumers are often interested in the fuel efficiency of the vehicles they choose to buy, so much so that they will research the various models they consider buying. Fuel efficiency can depend on a variety of variables. In this analysis, there are 73 automobiles that are popular with consumers. A regression analysis has been performed; the dependent variable is CityMPG (EPA miles per gallon in city driving), and independent variables are Length (vehicle length in inches), Width (vehicle width in inches), Weight (vehicle weight in pounds), and ManTran (1 if manual shift transmission, 0 otherwise). The level of significance is 0.05. Use the following MegaStat output to answer questions about this regression analysis.

a. State the regression equation.

b. How would CityMPG be affected if the width of a vehicle increased by an inch?

c. Estimate the CityMPG for a vehicle with a length of 190 inches, a width of 75 inches, a weight of 4100 pounds, and a manual. Round your answer to the nearest whole number.

d. What is the critical value for the F test?

e. Is the overall fit of the model significant or not? Explain your reasoning.

f. Which predictors are significant and which are not? Explain your reasoning.

g. What is the coefficient of determination and the adjusted coefficient of determination for your analysis? What do these two coefficients tell you about the variation of CityMPG in your model?