1.) Analysis of the relationship between the fuel economy (mpg) and engine size

Question

1.) Analysis of the relationship between the fuel economy (mpg) and engine size (liters) for 35 models of cars produces the regression model mpg=36.14-3.834 engine size. If a car is 5 liter engine, what does this model suggest the gas mileage would be? (round to one decimal place as needed).

2.) The correlation between a car's engine size and its fuel economy (in mpg) is r = minus0.736

What fraction of the variability in fuel economy is accounted for by the enginesize? round to nearst one decimal as needed (%)

Explanation / Answer

1) here as regression equation is : model mpg=36.14-3.834*engine size

therefore for  5 liter engine ;

gas mileage =36.14-3.834*5 =16.97 ~ 17.0

2)

fraction of the variability in fuel economy is accounted for by the enginesize =r2 =(-0.736)2=0.542~ 54.2%

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