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Which of the following correlation coefficients indicates the strongest relationship?Group of answer choices–0.930.78–0.650.59

Question

Which of the following correlation coefficients indicates the strongest relationship?

Group of answer choices
0.93
0.78
–0.65
0.59

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Solution

The correlation coefficient that indicates the strongest relationship is -0.93.

Here's why:

The correlation coefficient, also known as Pearson correlation coefficient, measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1.

A correlation coefficient of -1 indicates a perfect negative linear relationship, a correlation coefficient of 1 indicates a perfect positive linear relationship, and a correlation coefficient of 0 indicates no linear relationship.

The strength of the relationship is determined by the absolute value of the correlation coefficient, i.e., its distance from 0. So, -0.93 (which is 0.93 away from 0) indicates a stronger relationship than 0.78, -0.65, or 0.59 (which are 0.78, 0.65, and 0.59 away from 0, respectively).

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