Test: Common Core: High School - Statistics and Probability

1.

A researcher for a motor vehicle company wants to observe the relationship between a vehicle's weight and mileage. He decides to investigate 40 vehicles and tabulates the following data.

Screen shot 2015 12 18 at 4.35.26 pm

Afterwards, he plotted the data into a scatter plot and fitted a trendline to the graph.

Weight vs mpg

Which of the following is the best conclusion that can be made about the data's linearity?

The graph is linear because the plot of the residuals possesses a U-shaped distribution.

The graph is not linear because the plot of the residuals possesses a U-shaped distribution.

The graph is not linear because the plot of the residuals possesses a random distribution.

The graph is linear because the plot of the residuals possesses a random distribution.

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