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?