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Chapter 3: Q 48. (page 204)

Driving speed and fuel consumption Exercise 9 (page 171) gives data on the fuel consumption y of a car at various speeds x. Fuel consumption is measured in liters of gasoline per 100 kilometers driven, and speed is measured in kilometers per hour. A statistical software package gives the least-squares regression line y^=11.058鈥�0.01466x. Use the residual plot to determine if this linear model is appropriate.

Short Answer

Expert verified

No, it is not appropriate.

Step by step solution

01

Given information

The figure is:

02

Concept

The least-squares regression line reduces the sum of squares of vertical distances between the observed points and the line to zero.

03

Explanation

The regression equation is:

y铃�=11.058鈭�0.01466x

The data points on the residual plot should follow a linear pattern, which is an important property of an adequate linear regression model. The data points in the presented residual plot do not form a linear pattern, making the model incorrect. Simply put, the existence of curvature in the residual plot indicates that the model is ineffective.

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