Age Gender Industry Job Changer Job Stayer Age 1 Gender 0.749067546 1 Industry 0.690739108 0.971556802 1 Job Changer 0.859603919 0.874658345 0.7658436 1 Job Stayer 0.777897523 0.996179934 0.960637104 0.89893296 1 6. Determine if there ar
In the given correlation matrix, we can look for pairs of independent variables that exhibit high correlation coefficients, suggesting potential multicollinearity. Multicollinearity occurs when two or more predictor variables in a regression model are highly correlated, meaning they provide redundant information about the response variable. High correlation might lead to instability in coefficient estimates and difficulties in determining the individual effect of each predictor.
From the correlation coefficients listed:
1. **Age and Job Changer (0.8596)**: The correlation coefficient of 0.8596 is quite high and indicates a strong positive correlation. This suggests that as age increases, the likelihood of being a job changer may also increase, or older individuals may be more prone to changing jobs. This relationship creates potential multicollinearity because both age and job changer might convey similar information about the tendency to change jobs.
2. **Gender and Job Stayer (0.9962)**: The correlation between gender and job stayer is extremely high at 0.9962. This implies that the likelihood of being a job stayer is closely related to gender and could suggest that gender alone could mostly explain variations seen in job stayers. Such a high correlation can create issues, as it becomes difficult to separate the effects of gender from other predictors in the model.
3. **Industry and Job Changer (0.7658)**: A coefficient of 0.7658 indicates a strong correlation. Job changers might be concentrated in specific industries, which can lead to redundancy in modeling if both are included as separate predictors.
4. **Job Changer and Job Stayer (0.8989)**: The correlation of 0.8989 indicates a high relationship, suggesting that individuals classified as job changers frequently overlap with those identified as job stayers. Including both in a regression model could lead to unstable estimates of their effects since they are inversely related.
In summary, the variables that may be sources of multicollinearity based on the correlation matrix are:
- Age and Job Changer
- Gender and Job Stayer
- Industry and Job Changer
- Job Changer and Job Stayer
These variables show high correlation coefficients, indicating that they could provide redundant information in a regression model. Addressing multicollinearity might involve removing one variable from pairs that are highly correlated or applying techniques like principal component analysis (PCA).