Participant Identification 1 2 3 4 5 6 7 8 9 10 Mean SD Correlational Design Extraversion Score 20 10 18 18 19 3 8 3 17 18 13.4 6.74 Interaction Behavior 8 2 10 3 8 1 3 4 12 10 5.6 2.939 The table above contains data from 10 participants who took a personality questionnaire that measured the participants' levels of extraversion. One week later, participants returned to the laboratory to participate in a simulated "cocktail party". Participants were free to wander through the party and engage in as many social interactions as they liked. They were observed during a 60 minute period and the number of interactions each participant engaged in over that period was counted. 1. With the data table above, use Excel to create a scatterplot, making sure it is in proper APA format (Hint: Plot "extraversion" on the x-axis, and "interaction behavior" on the other). 2. Just by looking at the scatterplot (no calculations yet!), describe the pattern of association between the two variables (directionality and magnitude). 3. Calculate a correlation coefficient for the above data. Does the correlation coefficient you calculated agree with the conclusions you reached in question #2? 4. Interpret the results. In one or two sentences using plain, everyday language, explain what the correlation coefficient says about the relationship between the extraversion measure and people's willingness to engage in social interactions 5. What are two different causal explanations that one could hypothesize about the association between extraversion and interaction behavior (think back to the different kinds of causal relationships mentioned in Tuesday's notes)?
Participant Identification 1 2 3 4 5 6 7 8 9 10 Mean SD Correlational Design Extraversion Score 20 10 18 18 19 3 8 3 17 18 13.4 6.74 Interaction Behavior 8 2 10 3 8 1 3 4 12 10 5.6 2.939 The table above contains data from 10 participants who took a personality questionnaire that measured the participants' levels of extraversion. One week later, participants returned to the laboratory to participate in a simulated "cocktail party". Participants were free to wander through the party and engage in as many social interactions as they liked. They were observed during a 60 minute period and the number of interactions each participant engaged in over that period was counted. 1. With the data table above, use Excel to create a scatterplot, making sure it is in proper APA format (Hint: Plot "extraversion" on the x-axis, and "interaction behavior" on the other). 2. Just by looking at the scatterplot (no calculations yet!), describe the pattern of association between the two variables (directionality and magnitude). 3. Calculate a correlation coefficient for the above data. Does the correlation coefficient you calculated agree with the conclusions you reached in question #2? 4. Interpret the results. In one or two sentences using plain, everyday language, explain what the correlation coefficient says about the relationship between the extraversion measure and people's willingness to engage in social interactions 5. What are two different causal explanations that one could hypothesize about the association between extraversion and interaction behavior (think back to the different kinds of causal relationships mentioned in Tuesday's notes)?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Correlational Design Analysis**
The table displayed contains data from 10 participants who completed a personality questionnaire assessing their levels of extraversion. One week later, these participants engaged in a simulated "cocktail party" in a laboratory setting, where they could interact freely over a 60-minute session. The interaction count was recorded for each participant.
| Participant Identification | Extraversion Score | Interaction Behavior |
|----------------------------|---------------------|-----------------------|
| 1 | 20 | 8 |
| 2 | 10 | 2 |
| 3 | 18 | 10 |
| 4 | 18 | 3 |
| 5 | 19 | 8 |
| 6 | 3 | 1 |
| 7 | 8 | 3 |
| 8 | 3 | 4 |
| 9 | 17 | 12 |
| 10 | 18 | 10 |
**Mean and Standard Deviation**
- **Extraversion Score**: Mean = 13.4, SD = 6.74
- **Interaction Behavior**: Mean = 5.6, SD = 2.939
### Instructions for Analysis
1. **Scatterplot Creation:**
- Use Excel to create a scatterplot with "Extraversion" on the x-axis and "Interaction Behavior" on the y-axis, following proper APA formatting guidelines.
2. **Scatterplot Observation:**
- Examine the plot to describe the association's pattern between the variables, focusing on directionality and magnitude.
3. **Correlation Calculation:**
- Compute the correlation coefficient for the dataset. Assess how this calculation compares with your observations from the scatterplot.
4. **Interpretation of Results:**
- Explain the implications of the correlation coefficient in simple terms, detailing the relationship between extraversion and willingness to engage in social interactions.
5. **Hypotheses on Causation:**
- Propose two different causal explanations for the observed association, reflecting on causal relationships as discussed in class.
This activity is designed to help students understand how to analyze correlations and their implications in behavioral research.
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