Compare the Pearson correlation

2. What information is provided by the numerical value of the Pearson correlation?

6. for the following scores.
________
X Y
________
1 5
2 9
4 3
5 1
3 2
(c ). Compare the Pearson Correlation.

14. It is well known that similarity in attitudes, believes and interests plays an important role in interpersonal attraction (see Byre, 1971, for example). Thus, correlations for attitudes between married couples should be strong. Suppose a researcher developed a questionnaire that measures how liberal or conservative one's attitudes are. Low scores indicate that the person has liberal attitudes, whereas high scores indicate conservation. The following hypothetical data are scores for married couples.
______________________________________
Couples Wife Husband
______________________________________
A 11 14
B 6 7
C 16 15
D 4 7
E 1 3
F 10 9
G 5 9
H 3 8
______________________________________
Compare the Pearson correlation for these data, and determine whether there is a significant correlation between attitudes for husbands and wives. Set alpha at .05, two tailed.

Chapter 17.
14. Problem 15 in Chapter 16 described a study examining the effectiveness of a 7-Minute Screen test for Alzheimer's disease. The study evaluated the relationship between scores from the 7-Minute Screen scores for the same patients from a set of cognitive exams that are typically used to test for Alzheimer's disease. For a sample of n-9 patients, the scores for the 7-Minute Screen averaged M-7 with SS=92, The cognitive test scores averaged M=17 with SS=236. For these data, Sp=127,
a. Find the regression equation for predicting the cognitive score from the 7-Minutes Screen score.
b. What percentage of variance in the cognitive scores is accounted for by the regression equation?
c. Does the regression equation account for a significant portion of the variance in the cognitive scores? Use a=.05 to evaluate the F-ratio.