What value of a correlation coefficient is typically considered good to excellent?

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Multiple Choice

What value of a correlation coefficient is typically considered good to excellent?

Explanation:
The value tests how we judge the strength of a linear relationship between two variables. The correlation coefficient ranges from -1 to 1, and the size of its magnitude tells us how strong that relationship is (positive or negative direction doesn’t matter for strength). A value around 0.75 indicates a strong, positive linear relationship. It’s large enough that nearly half of the variance in one variable aligns with the other in a linear way, since r squared is about 0.56. That level of strength is commonly described as good to excellent in many applied contexts, making it the best choice among the options. Smaller values like 0.25 or 0.50 reflect weaker relationships, while 0.90 is even closer to perfect and would be viewed as near-perfect rather than just good to excellent in many settings.

The value tests how we judge the strength of a linear relationship between two variables. The correlation coefficient ranges from -1 to 1, and the size of its magnitude tells us how strong that relationship is (positive or negative direction doesn’t matter for strength).

A value around 0.75 indicates a strong, positive linear relationship. It’s large enough that nearly half of the variance in one variable aligns with the other in a linear way, since r squared is about 0.56. That level of strength is commonly described as good to excellent in many applied contexts, making it the best choice among the options.

Smaller values like 0.25 or 0.50 reflect weaker relationships, while 0.90 is even closer to perfect and would be viewed as near-perfect rather than just good to excellent in many settings.

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