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PREDICTION: BIVARIATE LINEAR REGRESSION

Prediction: Bivariate Linear Regression

 

Part One:

 

Problem 1: Linear regression

 

File: Open “Module 6 Exercise File 1” found in Blackboard Course Content (Course Guides and Assignment Instructions—Assignment Instructions—SPSS Homework—SPSS Homework 6 Files).

 

Note: You will use raw data for all homework exercises with no need to convert to z scores.

 

Research Scenario: A professor wants to determine the effect of test-related anxiety on exam scores in her class. She administers a measure on which higher scores indicate higher levels of test-related anxiety. After the class takes the exam, the professor records the grades (out of 90 points possible) next to the anxiety scores. Conduct a linear regression to determine whether test-related anxiety predicts exam grades. Use raw scores, not z scores, in the regression analysis. Again, there is no need to create z scores for this problem.

 

  1. Paste SPSS output. (3 pts)

 

  1. Answer the following questions:
  2. What is the value of the slope in your output? (3 pts)
  3. What is the value of the additive constant? (3 pts)
  4. What is the mean anxiety score? (3 pts)
  5. What is the correlation between anxiety scores and exam scores, as given in the output? (3 pts)

 

  1. Create a scatterplot of the relationship between the two variables. Plot the regression line on the graph. (3 pts)

 

  1. Write a Results section based on your findings. All homework “Results sections” must follow the example given in the SPSS tutorial presentations and the Course Content document “Writing Results of Statistical Tests in Current APA Format.” Note: The statistical statement for a bivariate linear regression must include at least the equation of the line and the confidence interval for the slope (the second row under Confidence Intervals in the output), as well as a decision about the null hypothesis. (3 pts)

 

 

Part Two: 

 

Problem Set 1: Linear Regression

 

Research Scenario: A social psychologist is studying the effect of past cult membership on forming attachments in new relationships. She recruits a sample of adult men and women (age 18+) who were involved in a known cult but subsequently left. She gathers data on the time (in months) spent in the cult, and she also administers a questionnaire designed to measure attachment-related issues. Higher scores indicate more difficulty forming attachments. She compiles the information in the table below. Conduct a bivariate linear regression to analyze the research question.

 

The steps will be the same as the ones you have been practicing in Part 1 of the assignment—the only difference is that you are now responsible for creating the data file as well. Remember to name and define your variables under the “Variable View,” then return to the “Data View” to enter the data.

 

Months in Cult Attachment
13 5
6 13
9 17
10.5 6
29 9
23.5 9
6 8
3.5 7
30 11
36 14
48.5 18
22 12
19 8
7 3
9.5 6
11 17
11.5 8

 

 

  1. Paste SPSS output (3 pts)

 

  1. Construct a scatterplot of the relationship between the 2 variables. Plot the regression line on this graph. (3 pts)

 

  1. Are the number of months spent in a cult predictive of attachment problems in this sample? Write a Results section in current APA style describing the outcome. All homework “Results sections” must follow the example given in the SPSS tutorial presentation and the Course Content document “Writing Results of Statistical Tests in Current APA Format.” The statistical statement for a bivariate linear regression must include at least the equation of the line and the confidence interval for the slope (the second row under Confidence Intervals in the output), as well as a decision about the null hypothesis. (3 pts)

 

Part Three: Cumulative Homework

 

Problem Set 1: Choose the correct method from tests learned in previous modules.

 

Research Scenario: A counselor wants to study the relationship between social isolation and attitudes towards suicide. He collects scores from a sample of 13 patients on two measures: one is a measure of social isolation on which higher scores indicate higher isolation (possible range of scores = 0- 20), and the other is the Suicide Risk Scale (SRS, Plutchik et al., 1989), on which higher scores indicate a higher risk of suicide (possible range of scores = 0-15). Is there a significant relationship between these variables? Choose the correct test to analyze this question, set up the SPSS file, and run the analysis. Follow the directions under the table on the following page.

 

Social Isolation SRS
3

6

8

7

17

2

14

10

7

3

11

9

9

 1

3

3

5

11

5

11

10

9

6

5

12

5

 

  1. Paste appropriate SPSS output. (4 pts)
  2. Paste appropriate SPSS graph. (3 pts)
  3. Write a Results section in current APA style describing the outcome. All homework “Results sections” must follow the example given in the Course Content document “Writing Results of Statistical Tests in Current APA Format.” (3 pts)

 

Submit this assignment by 11:59 p.m. (ET) on Monday of Module/Week 6.

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