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16. Engine size In Chapter 6, Exercise 41 we examined the relationship between the fuel economy (CombinedMPG) and Displacement (in liters) for 1211 models of
16. Engine size In Chapter 6, Exercise 41 we examined the relationship between the fuel economy (CombinedMPG) and Displacement (in liters) for 1211 models of cars. (Data in Fuel Economy 2016) Further analysis produces the regression model CombinedMPG = 33.46 - 3.23 Displacement. If the car you are thinking of buying has a 4 liter engine, what does this model suggest your gas mileage would be?18. Engine size again Exercise 16 describes a regression model that uses a car's engine displacement to estimate its fuel econ- omy. In this context, what does it mean to say that a certain car has a positive residual?20. More engine size In Exercise 16, the regression model CombinedMPG = 33.46 - 3.23 Displacement relates cars' engine size to their fuel economy (Combined mpg). Explain what the slope means.22. Another car The correlation between a car's engine size and its fuel economy (in mpg) is r = -0.774. What fraction of the variability in fuel economy is accounted for by the engine size?59. Used cars 2014 Carmax.com lists numerous Toyota Corollas for sale within a 250 mile radius of Redlands, CA. The table lists the ages of the cars and the advertised prices. a) Make a scatterplot for these data. b) Describe the association between Age and Price of a used Corolla.e} Explain the meaning of the yirttereept of the line. d] If you want to sell a 'i-year-old Corolla, Iwhat price seems appropriate? e} You have a chance to hugr one of two cars. They are about the same age and appear to be in equally,' good condition. Would you rather buy the one with a positive residual or the one with a negative residual? Explain. f} You see a "For Sale\" sign on. a l-yearold Corolla stating the asking price as $85M. What is the residual? g] Would this regression model be useful in establishing a fair 111'ch for a 25-year-old ear";I Explain. 61. More used oars 2M4 Use the advertised prices for Toyota Coronas given in Exercise 59 to create a linear model for the re- lationship between a car's Age and its Price. .1} Find the equation of the regression line. b} Explain the meaning of the slope of the line. e} Explain the meaning of the yintereept of the line. ti} If you want to sell a T-year-old Corolla. what price seems appropriate? e} You have a ehanee to hog.r one of two ears. 11ml. are about the same age and appear to be in equally good condition. Would you rather hujr the one with a positive residual or the one 1with. a negative residual? Explain. f} You see a \"For Sale\" sign on a 10-year-old Corolla stating the asking price as $85M. What is the residual? g] Would this regression model be useful in establishing a fair price for a 25-year-old ear? Explain
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