Use the following regression equation regarding car mileage to answer the question. Highway = 0.892+1.337 (City) Note that City is the estimated miles per gallon (mpg) a car gets while driving on city streets, and Highway is the estimated miles per gallon (mpg) a car gets while driving on highways. What is the expected miles per gallon in the Highway if a car in the City gets 23 miles per gallon? Round to one decimal place.
Question
Use the following regression equation regarding car mileage to answer the question. Highway = 0.892+1.337 (City) Note that City is the estimated miles per gallon (mpg) a car gets while driving on city streets, and Highway is the estimated miles per gallon (mpg) a car gets while driving on highways. What is the expected miles per gallon in the Highway if a car in the City gets 23 miles per gallon? Round to one decimal place.
Solution
To find the expected miles per gallon on the highway for a car that gets 23 miles per gallon in the city, you would substitute 23 for City in the regression equation:
Highway = 0.892 + 1.337 * City
Substituting 23 for City gives:
Highway = 0.892 + 1.337 * 23
Performing the multiplication gives:
Highway = 0.892 + 30.851
Adding these together gives:
Highway = 31.743
Rounding to one decimal place gives:
Highway = 31.7
So, a car that gets 23 miles per gallon in the city is expected to get 31.7 miles per gallon on the highway.
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