Interpret the \(0.62\) correlation between owner's and peer's ratings of the dog's personality? Refer to Chapter 2 to help you with this question.

Short Answer

Expert verified
The correlation of \(0.62\) indicates a positive and moderately strong relationship between owner's and peer's ratings of the dog's personality. This means that an increase in owner's ratings is generally associated with an increase in peer's ratings, and vice-versa.

Step by step solution

01

Interpret Direction

Since the correlation coefficient is positive (\(0.62\)), it means that as owner's ratings of a dog's personality increase, peer's ratings also tend to increase. Conversely, if the owner's ratings decrease, it can be anticipated that the peer's ratings will also decrease. The positive correlation indicates a direct relationship between the two variables.
02

Interpret Strength

To interpret the strength of the correlation, it's useful to refer to some guidelines. Generally, a common rule of thumb is: a correlation above 0.5 is typically considered a strong correlation. Therefore, a correlation of \(0.62\) suggests a moderately strong relationship between the owner's and peer's ratings of the dog's personality. This indicates that owner ratings can relatively reliably predict peer ratings.

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