A researcher was interested in whether people tend to marry individuals who are about the same level of physical attractiveness as they are. She took individual photographs of 14 pairs of spouses. Then, she had 10 participants rate the attractiveness of these 28 pictures on a 10-point scale (where 1 = very unattractive and 10 = very attractive). She averaged the 10 participants' ratings to get an attractiveness score for each photograph. Her raw data are below:
| Score for Wife's Photograph |
Score for Husband's Photograph |
| 5 |
6 |
| 9 |
7 |
| 4 |
4 |
| 2 |
4 |
| 7 |
5 |
| 6 |
5 |
| 5 |
5 |
| 9 |
8 |
| 8 |
4 |
| 10 |
8 |
| 4 |
3 |
| 5 |
4 |
| 7 |
7 |
| 8 |
7 |
a. Is the researcher expecting a positive or a negative correlation?
b. Draw a scatter plot of the data.
c. Do the data appear to be roughly linear?
d. From examining the scatter plot, does there appear to be a correlation between the physical attractiveness of husbands and wives? If so, is it positive or negative?
e. Calculate r for these data.
f. Is this correlation statistically significant?
g. Interpret r. What does r tell you about the relationship between temperature and attendance?