A consumer advocacy group recorded several variables on 140 models of cars. The

Question

A consumer advocacy group recorded several variables on 140 models of cars.

The resulting information was used to produce two models for predicting miles per galon in the city (mpg:city), one based on the number of cylinders in the engine and a second one based the power of the engine.

Model 1: mpg vs cylinders

Model 2: mpg vs horse power

Which of the variables (horsepower or displacement) would be the better predictor of city gas mileage? Chose the answer that best explains the situation.

The cylinder variable is better because it has a higher R-square (72.6%).

The variable horsepower is better because it has a higher residual standard error (S=3.863) and a lower R-square (45.46%).

The variable horsepower is better because it has a higher residual standard error (S=3.863).

The cylinders variable is better because it has a lower estimate for the residual standard error (S=3.206) and a higher R-square (72.6%).

The variable horsepower is better because it has a lower R-square (48.4%).

The cylinders variable is better because it has a lower estimate for the residual standard error (S=3.206).

The regression equation is mpg:city=37.8846 - 2.8758 cylinders Predictor Coefficient SE Coef. T p-value Constant 37.8846 2.0738 18.27 0.0000 cylinders -2.8758 0.3224 -8.92 0.0000 S=3.206 R-sq=72.6%

Explanation / Answer

Which of the variables (horsepower or displacement) would be the better predictor of city gas mileage? Chose the answer that best explains the situation.

The variable horsepower is better because it has a higher residual standard error (S=3.863) and a lower R-square (45.46%).

The variable horsepower is better because it has a higher residual standard error (S=3.863) and a lower R-square (45.46%).

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