Statistics

Chapter
8
Examples
1:
Roller coasters get all their speed by dropping down a steep initial incline, so it makes sense that the
height of that drop might be related to the speed of the coaster. Here's .a scatterplot of top Speed and
largest Drop for
75
roller coasters around the world.
87.5
L
me

75
150
225
Drop
(ft)
a)
Does the scatterplot indicate that it is appropriate to calculate the correlation? Explain.
b)
In
fact, the correlation of Speed and Drop is 0.91. Describe the association.
2.
A
regression analysis of the initial drop
(in
feet) of a roller coaster ride and the duration of the ride
(in
seconds) yields the model:
f
=
91.033
+
0.242x, where
Duration
is the response variable and
Drop
is
the explanatory variable.
a.
Explain what the slope of the line says about how long a roller coaster ride may last and the
height of the coaster.
b.
A
new roller coaster advertises an initial drop of 200 feet. How long would you predict the ride
lasts?
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 Spring '08
 TBA
 Statistics, Regression Analysis, Hamburger, roller coaster ride, initial drop

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