Question
13.Perform another multiple regression model for gasoline mileage as it depends on the set of predictor variables retained from part 12.e (use the same definitions
13.Perform another multiple regression model for gasoline mileage as it depends on the set of predictor variables retained from part 12.e (use the same definitions of the variables as you used in part 1).
a.In a new space entered below this part, insert a copy of the regression report.
b.In a new line entered below this part, state the equation of this multiple regression.
c.In a new line entered below this part, state the overall significance of this multiple regression. State the specific statistic or statistics that were used and how they were used. Finally, conclude whether or not this model is overall significant and state why.
d.In a new line entered below this part, state whether or not each individual variable coefficient is significant. Explain your conclusion for each variable, including the specific statistic or statistics that were used and how they were used.
e.In a new line entered below this part, state how much of the variation in mpg is fairly represented by this model.
14.a.In a new line entered below this part, insert a copy of the plot of the residuals of this model against its fitted values.
b.In a new line entered below this part, describe the appearance of this residual plot.
c.In a new line entered below this part, state here the RMSE of this regression.
15.Perform simple linear regression model for gasoline mileage as it depends on horsepower alone.
a.In a new line entered below this part, insert a copy of the regression output in a space created BELOW.
b.In a new line entered below this part, state here this simple linear regression equation.
c.In a new line entered below this part, state the overall significance of this simple linear regression. State the specific statistic or statistics that were used and how they were used. Finally, conclude whether or not this model is overall significant and state why.
d.In a new line entered below this part, state whether or not the coefficient of the predictor variable is significant. Explain your conclusion for each variable, including the specific statistic or statistics that were used and how they were used Comment on the significance of the variable coefficient.
e.How much of the variation in mpg is fairly represented by this model?
16.a. In a new space entered below this part, insert a copy of the plot of the residuals of this model against its fitted values.
b. In a new line entered below this part, describe here the appearance of this residual plot.
c. In a new line entered below this part, state the RMSE of this regression.
17.You have now found three regression models: the multiple regression model in part 1, another multiple regression model in 13, and the simple linear regression in part 15.
a. In new lines entered below this part, list here the RMSE for each of these regressions and compare them. Specifically, state which method has the lowest value of RMSE.
b. In a new line entered below this part, list the appropriate coefficient of determination for each of these regressions and compare them. Specifically, state which model has the highest value of these coefficients.
18.On the basis of your results in part 17, in a new line entered below this part, state the best possible regression equation to model gasoline mileage. Include the reason for your decision.
19.In a new line entered below this part, with the best regression model found in part 18, repeat the prediction in parts 9 and 10, if necessary.
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