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 engine displacement (in cubic inches) and a second one based the power of the engine (in horsepower).

Model 1: mpg vs engine displacement

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 displacement variable is better because it has a higher R-square (66%).

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

The displacement variable is better because it has a lower estimate for the residual standard error (S=3.14).

The variable horsepower is better because it has a higher residual standard error (S=3.87) and a lower R-square (48.4%).

The variable horsepower is better because it has a higher residual standard error (S=3.87).

The displacement variable is better because it has a lower estimate for the residual standard error (S=3.14) and a higher R-square (66%).

The regression equation is mpg:city=33.4 - 0.0624 displacement Predictor Coefficient SE Coef. T p-value Constant 33.4 0.7762 43.00 0.0000 displacement -0.0624 0.003810 -16.38 0.0000 S=3.13923 R-sq=66.0%

Explanation / Answer

Option A is Correct. The Displacement variable is better Predictor because it has higher RSquared Value

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