Question

5. (17 pts) Pagano: chapter 6, question 22. Here it is:

A social psychologist conducts a study to determine the relationship

between religion and self-esteem. Ten eighth graders are randomly

selected for the study. Each individual undergoes two tests, one measuring

self-esteem and the other religious involvement. For the self-esteem test, the

lower the score, the higher self-esteem is; for the test measuring

religious involvement, the higher the score, the higher religious involve-

ment is. The self-esteem test has a range from 1 to 10, and the religious

involvement test ranges from 0 to 50. For the purposes of this question,

assume both tests are well standardized and of interval scaling.

The following data are collected (see numbers to the left):

Subject	Religious Involvement	Self-Esteem
1	5	8
2	25	3
3	45	2
4	20	7
5	30	5
6	40	5
7	1	4
8	15	4
9	10	7
10	35	3

Answer the following questions:

A. If a relationship exists such that the more religiously involved one is, the higher actual self-esteem is, would you expect r computed on the provided values to be negative or positive? (Choose one.)

B. Create an SPSS file for these data and use it to calculate the Pearson correlation coefficient. Report the value of r. Also, given the way that the variables were measured, what does the direction of the effect (the positive or negative sign of r) tell you about whether higher self-esteem is associated with higher religious involvement or lower religious involvement? (Choose one.)

C. In SPSS, use religious involvement (the IV) to predict self-esteem (the DV). What proportion of variability in self-esteem is explained by variability in religious involvement?

D. Write the equation to predict self-esteem from religious involvement. Make the equation as detailed as you can (variable names, number for the coefficients).

E. Use the equation to predict the self-esteem of a person who had a religious involvement score of 27. Show your work.

Answer 1