City Mileage, Highway Mileage. We expect a car's highway gas mileage to be related to its...

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City Mileage, Highway Mileage. We expect a car's highway gasmileage to be related to its city gas mileage (in miles per gallon,mpg). Data for all 1137 vehicles in the government's 2013 FuelEconomy Guide give the regression line

highway mpg = 6.785 + (1.033 x city mpg)

for predicting highway mileage from city mileage.

(a) What is the slope of this line? Say in words what thenumerical value of the slope tells you.

(b) What is the intercept? Explain why the value of theintercept is not statistically meaningful.

(c) Find the predicted highway mileage for a car that gets 16miles per gallon in the city. Do the same for a car with citymileage of 28 mpg.

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