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A clinical psychologist is interested in the relationship between testosterone level in married males and the quality of their marital relationship. A study is conducted in which the testosterone levels of eight married men are measured. The eight men also fill out a standardized questionnaire assessing quality of marital relationship. The questionnaire scale is 0 – 25, with higher numbers indicating better relationships. Testosterone scores are in Nano moles/liter of serum. The data are shown below.
|
Subject Number |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
|
Relationship |
24 |
15 |
15 |
10 |
19 |
11 |
20 |
19 |
|
Score |
|
|
|
|
|
|
|
|
|
Testosterone |
12 |
13 |
19 |
25 |
9 |
16 |
15 |
21 |
|
Level |
|
|
|
|
|
|
|
|
a. On a piece of graph paper, construct a scatter plot of the data. Use testosterone level as the X variable.
b. Describe the relationship shown on the graph.
c. Compute the value of Pearson r.
d. Determine the least-squares regression line for predicting relationship score from testosterone level. Should bY be positive or negative? Why?
e. Draw the least-squares regression line of part d on the scatter plot of part a.
f. Based on the data of the eight men, what relationship score would you predict for a male who has a testosterone level of 23 Nano moles/liter of serum?
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