Below is some of the regression output from a regression of the gas mileage (exp

Question

Below is some of the regression output from a regression of the gas mileage (expressed in miles per gallon) (MPG) an automobile gets versus the size of the car's engine (expressed in cubic liters) and the weight of the car (expressed in tons)

Multiple R 0.982

R square

Adjusted R square

standard error

Observations 10

Based on the regression output, what is predicted MPG for a car with an engine size of 2.1 cubic liters and weights 1.1 tons? (please express your answer using 2 decimal places)

df SS MS f significance F Regression 574.7 287.4 96.3 8.08847E-06 residual 3.0 total 9 595.6

Explanation / Answer

From the output the regression model is

MPG' = 52.9 -4* engine-size - 15.3*weight

So the required predicted value is

MPG' = 52.9 -4* 2.1 - 15.3* 1.1 = 27.67

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