Gas mileage revisited Let’s try the re-expressed variable
Chapter 9, Problem 19E(choose chapter or problem)
The following table shows stopping distances in feet for a car tested 3 times at each of 5 speeds. We hope to create a model that predicts Stopping Distance from the Speed of the car.
\(\begin{array}{|c|c|} \hline \text { Speed (mph) } & \text { Stopping Distances (ft) } \\ \hline 20 & 64,62,59 \\ 30 & 114,118,105 \\ 40 & 153,171,165 \\ 50 & 231,203,238 \\ 60 & 317,321,276 \\ \hline \end{array}\)
a) Explain why a linear model is not appropriate.
b) Re-express the data to straighten the scatterplot.
c) Create an appropriate model.
d) Estimate the stopping distance for a car traveling 55 mph.
e) Estimate the stopping distance for a car traveling 70 mph.
f) How much confidence do you place in these predictions? Why?
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