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Section Problems #4
Note that there are five questions on this problem set (two pages).
#1) A student wonders if tall women tend to date taller men than do shorter women.
Here
are the data (height in inches):
women (x)
66
64
66
65
70
65
men (y)
72
68
70
68
71
65
The correlation r = 0.5653 (rounded to four decimals).
a) Would r change if all the men were 6 inches shorter than the heights given in the table?
Yes or no?
b) Would r change if heights were measured in centimeters rather than inches (there are
2.54 cm in an inch)?
Yes or no?
c) Does the correlation tell us whether women tend to date men taller than themselves?
Yes or no?
d) If every woman dated a man exactly 3 inches taller than herself, would the correlation
between male and female heights necessarily equal 1?
Yes or no?
#2) A researcher wishes to determine whether the rate of water flow (in liters per second)
over an experimental soil bed can be used to predict the amount of soil washed away (in
kilograms).
The researcher measures the amount of soil washed away for various flow
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 Spring '09
 DOTSEVISOGAH

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