Question 6.90

55. A student wonders if tall women tend to date taller people than do short women. She measures herself, her sister, and the women in the adjoining dorm rooms. Then she measures the next person each woman dates and obtains the following data (in inches):

Heights of women () 66 64 63 65 70 65
Heights of their dates () 72 68 70 68 71 64
  1. Based on a scatterplot (with the women’s heights as the explanatory variable), do you expect the correlation to be positive or negative? Near ±1 or not?
  2. Find the correlation between the heights of the women and their dates.

55.

(a) Positive; not close to ±1

image

(b)