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Identifying the Strongest Correlation Coefficient
When determining the strongest relationship between two variables from a set of correlation coefficients, such as , , , and , one must evaluate the absolute value of each coefficient. The sign indicates the direction of the relationship, not its strength. The coefficient with the largest absolute value represents the strongest correlation. In this case, indicates the strongest relationship because its absolute value, , is closest to .
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Perfect Positive Correlation
Perfect Negative Correlation
A data scientist is studying the relationships between different variables. They calculate the following correlation coefficients:
- Relationship 1: Between hours spent studying and exam scores, the coefficient is +0.85.
- Relationship 2: Between daily screen time and sleep quality, the coefficient is -0.90.
- Relationship 3: Between daily water intake and commute time, the coefficient is +0.10.
Based on these coefficients, which statement accurately compares the strength of these relationships?
Predictive Model Variable Selection
A researcher has calculated the correlation coefficient between several pairs of variables. Arrange the following coefficients in order from the one representing the weakest relationship to the one representing the strongest relationship.
Identifying the Strongest Correlation Coefficient