520 4-2 Multiple Regression
Before you begin the assignment:
• Read Chapter 8 in your Discovering Statistics Using IBM SPSS Statistics textbook.
• Review the video tutorial for an overview of conducting multiple regression in SPSS.
• Access and open the Popularity SPSS data set.
An overview of the data set:
This data set represents hypothetical data from a study that examined how well some core personality traits predict a person’s level of popularity. Personality was measured using the “Big 5,” which is a very commonly used measure of personality. In fact, a Big 5 personality scale was included in the Module Two discussion.
Here is some more information about the variables in this hypothetical data set:
• Number: This is the ID number of the participant
• Sex: Participants’ sex, with “1” standing for male and “2” standing for female
• Age: College year of the participant, with “1” standing for freshman, “2” standing for sophomore, etc.
• Popularity: Popularity measured with a questionnaire that could range from 0 to 100, with higher numbers indicating more popularity
• Extroversion: A Big 5 trait indicating level of sociability. Scores range from 1 to 5, with high numbers indicating extroverted and low numbers indicating introverted
• Agreeableness: A Big 5 trait indicating level of interpersonal warmth and friendliness. Scores range from 1 to 5, with high numbers indicating warmth and low numbers indicating coldness towards others
• Conscientiousness: A Big 5 trait indicating level of self-control and responsibility. Scores range from 1 to 5, with high numbers indicating high conscientiousness and low numbers indicating low conscientiousness
• Neuroticism: A Big 5 trait indicating level of anxiety and emotional stability. Scores range from 1 to 5, with high numbers indicating high neuroticism and low numbers indicating low neuroticism
• Openness: A Big 5 trait indicating level of willingness to try new things and creativity. Scores range from 1 to 5, with high numbers indicating high open-mindedness and low numbers indicating closed-mindedness
Questions:
1) Describe in your own words what type of research situations call for a researcher to use a multiple regression analysis.
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2a) Run a basic correlation of matrix for the Popularity, Extraversion, Agreeableness, Conscientiousness, Neuroticism, and Openness variables.
Paste output below (Read carefully: The best way to do this is to select “Copy Special” when copying from the SPSS output. Then select image as a format to copy. When pasting in Word, select Paste Special, choose a picture format, and then resize the image so it fits the screen):
2b) Based on these results, which personality variables are significantly correlated with Popularity?
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3a) Conduct a multiple regression analysis using Extraversion, Agreeableness, Conscientiousness, Neuroticism, and Openness as predictors of Popularity.
Paste the output below:
3b) Which variables are significant predictors of Popularity? Compare and contrast the results from the multiple regression analysis to the basic correlation results from question 2b.
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3c) What is the R-squared of this model, and what does it tell us about how well this model predicts Popularity?
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3d) Write the results of the multiple regression in APA style. For help, refer to the Regression section in this Reporting Statistics document.
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