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In: Statistics and Probability

The text gives guidelines for interpreting correlations. Provide an example of a low, mooderate, and high...

The text gives guidelines for interpreting correlations. Provide an example of a low, mooderate, and high correlation.

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Expert Solution

The correlation coefficient can take values between -1 and +1 (inclusive). It shows the direction and strength of the relationship between the variables.

The correlation coefficient -1 shows the perfect negative relationship between the variables.

The correlation coefficient 0 shows that there is no relationship between the variables.

The correlation coefficient +1 shows the perfect positive relationship between the variables.

If the magnitude of correlation coefficient is between 0.1 and 0.3 (that is less than 0.3) then it shows a low correlation between the variables. For example, r = 0.2, or r = -0.15 or r = 0.25

If the magnitude of correlation coefficient is between 0.3 and 0.5 (that is greater than equal to 0.3 and less than 0.5) then it shows a moderate correlation between the variables. For example, r = 0.35, or r = -0.45 or r = 0.4

If the magnitude of correlation coefficient is greater than equal to 0.5 then it shows a high correlation between the variables. For example, r = 0.8, or r = -0.98 or r = 0.88

orchestra answered 2 years ago
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