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Brakes:
The table below 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.
Speed (mph)
Stopping Distances (ft)
20
64, 62, 59
30
114, 118, 105
40
153, 171, 165
50
231, 203, 238
60
317, 321, 276
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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