Interpret the correlation: r(X,Y) = .902 where X is right grip strength and Y is left grip strength in a group of 25 college PE majors.
Understand the Problem
The question is asking to interpret the correlation coefficient between right and left grip strength in a specific group. The high correlation value indicates a strong relationship between the two variables for the given group.
Answer
A strong positive correlation of 0.902 between right and left grip strength.
The final answer is: The correlation coefficient r(X,Y) = 0.902 indicates a very strong positive correlation between right and left grip strength among the group of college PE majors. This suggests that individuals with higher strength in one hand also tend to have higher strength in the other hand.
Answer for screen readers
The final answer is: The correlation coefficient r(X,Y) = 0.902 indicates a very strong positive correlation between right and left grip strength among the group of college PE majors. This suggests that individuals with higher strength in one hand also tend to have higher strength in the other hand.
More Information
The correlation of 0.902 is close to 1.0, which means there's a very strong positive linear relationship between right and left hand grip strength. Such correlations often suggest that as one variable increases, the other does as well, with little variability unexplained.
Tips
A common mistake is interpreting correlation as causation. A high correlation does not imply that changes in one variable cause changes in the other.
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