Interpretation and Conclusions
Step 1: Simple Regression of Family Environment on Bullying
The first regression model examines the relationship between family environment and bullying.
- R-squared: 0.046
- F-statistic: 15.41
- p-value: 0.000106
- Coefficient for family environment: -1.0229 (p-value: 0.002)
Interpretation: The family environment has a statistically significant negative effect on bullying. As the family environment improves, the level of bullying decreases. However, the R-squared value indicates that only 4.6% of the variance in bullying is explained by the family environment.
Step 2: Simple Regression of Family Environment on Emotional Intelligence
The second regression model examines the relationship between family environment and emotional intelligence.
- R-squared: 0.008
- F-statistic: 2.65
- p-value: 0.104
- Coefficient for family environment: 0.0067 (p-value: 0.104)
Interpretation: The family environment does not have a statistically significant effect on emotional intelligence. The p-value is greater than 0.05, indicating that the relationship is not significant.
Step 3: Multiple Regression of Family Environment and Emotional Intelligence on Bullying
The third regression model examines the combined effect of family environment and emotional intelligence on bullying.
- R-squared: 0.106
- F-statistic: 19.13
- p-value: 1.24e-08
- Coefficient for family environment: -1.0229 (p-value: 0.002)
- Coefficient for emotional intelligence: -2.1403 (p-value: 0.000)
Interpretation: Both family environment and emotional intelligence have a statistically significant negative effect on bullying. The combined model explains 10.6% of the variance in bullying, which is an improvement over the first model. Emotional intelligence appears to play a mediating role, as its inclusion in the model increases the explanatory power.
Conclusion
- The family environment has a significant negative effect on bullying.
- Emotional intelligence does not have a significant direct relationship with the family environment.
- When considering both family environment and emotional intelligence together, both factors significantly reduce bullying.
This suggests that while the family environment directly impacts bullying, emotional intelligence also plays a crucial role in mediating this relationship.
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