16
QuizMultiple Choice

Choosing the Best Model

Question 16 • DRHS GA-Statistical Reasoning

Many new cars provide detailed information about engine performance on the dashboard. One such feature allows drivers to observe current fuel efficiency, recorded in miles per gallon, as they drive. A consumer takes a long trip driving at different speeds, while a passenger records both driving speed in miles per hour and fuel efficiency for a number of selected points along the trip. A least-squares equation that relates speed to fuel efficiency is given by .

Question illustration
Answer
A
A linear model is appropriate because the residual plot is clearly curved.
B
A linear model is not appropriate because the residual plot shows a clear pattern.
C
A linear model is appropriate because the residuals are decreasing at higher car speeds.
D
A linear model is not appropriate because there are more negative residuals than positive residuals.
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