# Correlation Coefficient and P-value

1. What is the r value for the relationship between Hamstring strength index 60°/s and the Shuttle run test? Is this r value significant? Provide a rationale for your answer.

2. Consider r = 1.00 and r = −1.00. Which r value is stronger? Provide a rationale for your answer.

3. Describe the direction of the relationship between the Hamstring strength index 60°/s and the Shuttle run test.

4. Without using numbers, describe the relationship between the Hamstring strength index 120°/s and the Triple hop index.

5. Which variable has the weakest relationship with the Quadriceps strength index 120°/s? Provide a rationale for your answer.

6. Which of the following sets of variables has the strongest relationship?

a. Hamstring strength index 120°/s and the Hop index

b. Quadriceps strength index 60°/s and the Carioca test

c. Quadriceps strength index 120°/s and the Side step test

d. Quadriceps strength index 60°/s and the Triple hop index

7. In Table 5, two r values are reported as r = −0.498 and r = −0.528. Describe each r value in words, indicating which would be more statistically significant, and provide a rationale for your answer.

8. The researchers stated that the study showed a positive, significant correlation between Quadriceps strength indices and pre- and postoperative functional stability. Considering the data presented in the Table 5, do you agree with their statement? Provide a rationale for your answer.

9. The researchers stated that no significant relationship could be described between Hamstring strength indices 60°/s and functional stability. Given the data in Table 5, explain why not.

10. Consider the relationship reported for the Quadriceps strength index 120°/s and the Hop index (r = 0.744**, p = 0.000). What do these r and p values indicate related to statistical significance and clinical importance?

Questions to be answered: Please refer to table 5 in the attachment that I have provided

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#### Solution Summary

This solution is comprised of a detailed explanation of correlation output given in exercise 23. All 10 questions were answered regarding correlation coefficient and p-values.