Discussion:
Q: A social psychology graduate student hypothesizes that taller women tend to date taller men, and that shorter women tend to date shorter men. To test this hypothesis, she visits a dance club just off campus and interviews the first 10 couples she meets, measuring (to the nearest centimeter) the heights of the men (X) and the heights of the women (Y). The data comes out as follows:
MEN WOMEN
159 150
158 151
166 160
159 159
174 153
179 181
166 162
167 156
164 141
167 153
a. Is the hypothesis correct?
b. My best friend is a female whose height is 169. Based on these interviews, can you guess how tall her mate is likely to be?