Question

In: Statistics and Probability

It is well known that similarity in attitudes, beliefs, and interests play an important role in...

  1. It is well known that similarity in attitudes, beliefs, and interests play an important role in interpersonal attraction. Thus, correlations for attitudes between married couples should be strong. Suppose a social psychologist 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 conservatism. The following data were obtained from married couples:

Couple

Spouse 1

Spouse 2

A

11

15

B

6

4

C

18

20

D

4

6

E

1

3

F

10

11

G

5

5

H

3

7

  1. What is the regression equation for predicting Spouse 1’s attitude from Spouse 2’s attitude?

  1. What is the standard error of the estimate?

  1. If Spouse 2 scored 5 on the attitudes scale, what would you predict Spouse 1’s score to be?

  1. A professor wanted to predict y scores from x scores. To do this, he examined the y scores from several students who took his class last semester. He randomly selected scores from eight students to use for his analysis:

x Scores:               85      64      78      91      82      73      96      52      

y Scores:           91      58      72      93      88      86      91      50

  1. Find the regression equation for predicting y scores from x scores.

  1. If a student in the professor’s class achieved a score of 80 on the x, what score do you predict that student would earn on the y?

  1. What is the value of the standard error of the estimate?

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