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Gas mileage, revisited Let’s try the re-expressed variable

Chapter 9, Problem 13E

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QUESTION:

Gas mileage, revisited      Let’s try the re-expressed variable Fuel Consumption (gal/100 mi) to examine the fuel efficiency of the 11 cars in Exercise 11. Here are the revised regression analysis and residuals plot:

a) Explain why this model appears to be better than the linear model.

b) Using the regression analysis above, write an equation of this model.

c) Interpret the slope of this line.

d) Based on this model, how many miles per gallon would you expect a 3500-pound car to get?

Questions & Answers

QUESTION:

Gas mileage, revisited      Let’s try the re-expressed variable Fuel Consumption (gal/100 mi) to examine the fuel efficiency of the 11 cars in Exercise 11. Here are the revised regression analysis and residuals plot:

a) Explain why this model appears to be better than the linear model.

b) Using the regression analysis above, write an equation of this model.

c) Interpret the slope of this line.

d) Based on this model, how many miles per gallon would you expect a 3500-pound car to get?

ANSWER:

Step 1 of 5

The given plot is

The given data is

R-squared value:

Intercept:0.6249

Weight:1.1779

 

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