A researcher measures how positive a person's mood is and how creative he or she
is, obtaining the following interval scores:
Participant Mood X Creativity Y
1 10 7
2 8 6
3 9 11
4 6 4
5 5 5
6 3 7
7 7 4
8 2 5
9 4 6
10 1 4
(a) Compute the statistic that summarizes this relationship.
(b) What is the predicted creativity score for anyone scoring 3 on mood?
(c) If your prediction is in error, what is the amount of error you expect to have?
(d) How much smaller will your error be if you use the regression equation than if you merely used the overall mean creativity score as the predicted score for all participants?