Correlation

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

12a.) Consider the data set

Compute the Pearson correlation

14.) Couple 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

Compute 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 tails.

Regression

12.) A professor obtains SAT scores and freshman grade point averages (GPAs) for a group of n = 15 college students. The SAT scores have a mean of M = 580 with SS = 22,400, and the GPAs have a mean of 3.10 with SS = 1.26, and SP = 84.

a.) Find the regression equation for predicting GPA from SAT scores.

b.) What percentage of the variance in GPAs is accounted for by the regression equation? (Compute the correlation, r, and then find r ² .)

c.) Does the regression equation account for a significant portion of the variance in GPA? Use alpha = .05 to evaluate the F – ratio.

The Chi – Square statistic

2.) The student population at the state college consists of 55% females and 45% males.

a.) The college theater department recently staged a production of a modern musical. A researcher recorded the gender of each student entering the theater and found a total of 385 females and 215 males. Is the gender distribution for theater goers significantly different from the distribution for the general college? Test at the .05 level of significance.

b.) The same researcher also recorded the gender of each student watching a men’s basketball game in the college gym and found a total of 83 females and 97 males. Is the gender distribution for basketball fans significantly different from the distribution for the general college? Test at the .05 level of significance.

6.) Langewitz, Izakovic, and Wyler (2005) reported that self-hypnosis can significantly reduce hay fever symptoms. Patients with moderate to several allergic reactions were trained to focus their minds on specific locations where their allergies do not bother them, such as a beach or a ski resort. In a sample of 64 patients who received this training. Suppose that 47 showed reduced allergic reactions and 17 showed an increase in allergic reactions. Are these results sufficient to conclude that the self-hypnosis has a significant effect? Assume that increasing and decreasing allergic reactions are equally likely if the training has no effect. Use alpha = .05.

20.) Gender differences in dream content are well documented. Suppose a researcher studies aggression content in the dreams of men and women. Each participant reports his or her most recent dream. Then each dream is judged by a panel of experts to have low, medium, or high aggression content. The observed frequencies are shown in the following matrix:

Gender Low Medium High

Female 18 4 2

Male 4 17 15

Is there a relationship between gender and the aggression content of dreams? Test with alpha = .01

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