6
QuizMultiple Choice
Transforming to Achieve Linearity
Question 6 of 10 • Statistical Modeling - Content Recovery - Part B
Data were recorded for a car’s fuel efficiency, in miles per gallon (mpg), and corresponding speed, in miles per hour (mph). Scatterplot A displays the relationship between the car’s speed and fuel efficiency. Two transformations of the data are shown in scatterplots B and C. Scatterplot B displays the relationship between the car’s speed and the natural log of the fuel efficiency. Scatterplot C displays the relationship between the natural log of the car’s speed and the natural log of the fuel efficiency.Which scatterplot best represents the relationship between a car’s speed and its fuel efficiency?
Answer
A
A linear model would best represent the relationship because scatterplot A is fairly linear.B
An exponential model would best represent the relationship because scatterplot B is fairly linear.C
A power model would best represent the relationship because scatterplot C is fairly linear.D
A linear model would best represent the relationship because scatterplot C is fairly linear.