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
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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