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A Student Wonders Whether People of Similar Heights Tend to Date

Question 5

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A student wonders whether people of similar heights tend to date each other. 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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 Women 666466657065 Men 726870687469\begin{array} { | l | l | l | l | l | l | l | } \hline \text { Women } & 66 & 64 & 66 & 65 & 70 & 65 \\\hline \text { Men } & 72 & 68 & 70 & 68 & 74 & 69 \\\hline\end{array} Which of the following statements about these data is TRUE?


A) There is a strong positive correlation between the heights of men and women because the women are always smaller than the men they date.
B) There is a positive correlation between the heights of men and women because taller women date taller men.
C) Correlation makes no sense here because gender is a categorical variable.

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