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In analyzing a variety of research results, you calculate the following correlations: −.72, −.40, .60, .25.

Of these four values, which correlation represents the strongest relationship?

A. −.72
B. −.40
C. .60
D. .25

Answer :

the main answer is option a, -0.72, represents the strongest relationship among the given correlation values.

The correlation coefficient measures the strength and direction of the relationship between two variables. A correlation value of 1 indicates a perfect positive relationship, while a value of -1 indicates a perfect negative relationship.

The closer the correlation value is to 1 or -1, the stronger the relationship. Among the given correlation values, the strongest relationship is represented by the correlation coefficient of -0.72 (option a).

This value is closest to -1, indicating a strong negative relationship between the variables being analyzed.

The correlation value of -0.72 suggests that as one variable increases, the other variable tends to decrease consistently.

For example, if we are analyzing the relationship between studying hours and test scores, a correlation coefficient of -0.72 would indicate that as studying hours increase, test scores tend to decrease. This negative correlation suggests a strong inverse relationship between the two variables.

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