39. Which value of a correlation coefficient is associated with a strong direct relationship?
Answer: D
A correlation coefficient of 0.91 indicates a strong direct relationship.
A correlation coefficient of 0.91 signifies a very strong positive relationship between two variables, meaning that as one variable increases, the other variable also tends to increase significantly.
A) -0.99
A correlation coefficient of -0.99 indicates a very strong negative relationship. This means that as one variable increases, the other variable decreases significantly, which does not represent a direct relationship.
B) -0.43
A correlation coefficient of -0.43 suggests a moderate negative relationship. While there is some inverse correlation present, it does not indicate a strong direct relationship as required by the question.
C) 0.49
A correlation coefficient of 0.49 indicates a moderate positive relationship. Although there is a positive association, it is not strong enough to qualify as a strong direct relationship, making it less relevant in this context.
D) 0.91
A correlation coefficient of 0.91 represents a strong positive relationship between two variables. This high value indicates that increases in one variable are strongly associated with increases in the other, fulfilling the criteria for a strong direct relationship.
Conclusion
The value of 0.91 is definitively the strongest indicator of a direct relationship among the options provided, as it highlights a significant positive correlation. All other options either indicate negative relationships or are too weak to signify a strong direct association. Thus, D is the only suitable choice for demonstrating a strong direct relationship.