Question

A researcher developed a questionnaire to measure how liberal or conservative one’s attitudes are. Low scores indicate that the person has liberal attitudes, whereas high scores indicate conservatism. The researcher gave the questionnaire to n = 8 people heterosexual couples (i.e., there are 8 pairs of scores). The researcher wanted to know whether the wife’s attitudes (X) predicted the husband’s attitudes (Y). The wives had a mean score of M = 7.00, SD = 4.96. The husbands (Y) had a mean score of M = 9.00, SD = 3.89). The correlation between the wives’ and husbands’ attitudes was r(6) = .90.

a. Calculate the b (slope) in the regression equation. What does this value mean in the context of the data?

b. Calculate the a (intercept) in the regression equation. What does this value mean in the context of the data?

c. Write out the regression equation

d. If a wife has a score of 6 on the questionnaire, what is the predicted score for her husband? If a wife has a score of 2 on the questionnaire, what is the predicted score for her husband?

Answer 1

a.

If the wife's attitude increase by 1 unit , then the husband's attitude also increased by 0.7058 unit

b. Intercept = a=

The regression equation indicates that the wife had a no attitude will average the husbands attitude is 4.0594

c. The regression equation is ,

d. For X=6 , then

Therefore , If a wife has a score of 6 on the questionnaire, then the predicted score for her husband is 8.2942

For X=2 then

Therefore , If a wife has a score of 2 on the questionnaire, then the predicted score for her husband is 5.4710