Interpreting Correlation Coefficient Values
The value of a correlation coefficient indicates the strength of the relationship between two variables. A coefficient closer to 1 or -1 signifies a strong relationship where changes in one variable are highly predictable from the other. As the coefficient approaches 0, the relationship weakens, and predictability decreases. A coefficient of 0 means the variables are not related, and one cannot be predicted from the other.
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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