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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
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2.41Â Â Â
Heights of people who date each other. A student wonders if tall women tend to date taller men than do short women. She measures herself, her dormitory roommate, and the women in the adjoining rooms; then she measures the next man each woman dates. Here are the data (heights in inches):
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(a) Make a scatterplot of these data. Based on the scatterplot, do you expect the correlation to be positive or negative? Near ±1 or not?
(b)Â Â Find the correlation r between the heights of the men and women.
(c)Â Â How would r change if all the men were 6 inches shorter than the heights given in the table? Does the correlation tell us whether women tend to date men taller than themselves?
(d)Â Â If heights were measured in centimeters rather than inches, how would the correlation change? (There are 2.54 centimeters in an inch.)
(e)Â If every woman dated a man exactly 3 inches taller than herself, what would be the correlation between male and female heights?
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