We expect a car's highway gas mileage to be related to its city gas mileage. Data for all 1198 vehicles in the government's 2008 Fuel Economy Guide gives the following regression line: highway mpg = 4.62 + (1.109 X city mpg) for predicting highway mileage from city mileage. What is the slope of this line? Give your answer to 3 decimal places.  Say in words what the numerical value of the slope tells us. On the average, highway mileage decreases by 1.109 mpg for each additiona

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We expect a car's highway gas mileage to be related to its city gas mileage. Data for all 1198 vehicles in the government's 2008 Fuel Economy Guide gives the following regression line: highway mpg = 4.62 + (1.109 X city mpg) for predicting highway mileage from city mileage.

What is the slope of this line? Give your answer to 3 decimal places. 

Say in words what the numerical value of the slope tells us.

  • On the average, highway mileage decreases by 1.109 mpg for each additional mpg in city mileage.
  • On the average, highway mileage increases by 4.62 mpg for each additional mpg in city mileage.
  • On the average, highway mileage increases by 1.109 mpg for each additional mpg in city mileage.



What is the intercept? Give your answer in mpg's to 2 decimal places. 

Explain why the value of the intercept is not statistically meaningful.

  • Because this is the highway mileage for zero city mpg.
  • Because this is an average value, calculated from a sample.
  • Because this is the highway mileage for slope 0.



Find the predicted highway mileage for a car that gets 16 miles per gallon in the city. Give your answer in mpg to 2 decimal places. 

Find the predicted highway mileage for a car that gets 28 miles per gallon in the city. Give your answer in mpg to 2 decimal places. 

Draw a graph of the regression line for city mileages between 10 and 50 mpg. (Be sure to show the scales for the x and y axes.) Choose the correct graph.

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