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Understanding the relationships between variables is a fundamental aspect of data analysis. Correlation coefficients serve as powerful tools to quantify these relationships, providing insights into the strength and direction of associations.
I. Basics of Correlation Coefficients:
1. Range:
- A correlation coefficient close to 1 or -1 indicates a strong relationship.
- A correlation coefficient close to 0 suggests a weak or no linear relationship.
2. Significance:
- Positive values indicate a positive relationship (as one variable increases, the other tends to increase).
- Negative values indicate a negative relationship (as one variable increases, the other tends to decrease).
3. Independence:
- Correlation does not imply causation. Even if two variables are correlated, it does not mean that one causes the other.
4. Outliers:
- Correlation coefficients are sensitive to outliers. Outliers can disproportionately influence correlation values.