# Nursing Statistics Exercise 23

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Exercise 23 Questions to be Graded 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 A weak negative relationship is seen between Hamstring strength index 60 degree/s and the Shuttle run test due to r = −0.149 (see Table 5). Since r &lt;-0.3, this signifies a week relationship. The r value is not statistically significant since p = 0.424 &gt; 0.01. 2. Consider r =1.00 and r =–1.00. Which r value is stronger? Provide a rationale for your answer The r values of +1.00 and –1.00 both indicate the strongest possible relationships among variables. (+) 1.00 is the strongest, or perfect positive relationship, and indicates that variables change either increasing together or decreasing together. (–) 1.00 is the strongest, or perfect negative relationship, and indicates that variables change in opposite directions meaning that as one variable increases the other variable decreases. 3. Describe the direction of the relationship between the Hamstring strength index 60/s and the Shuttle run test. The relationship between Hamstring strength index 60 degree/s and the Shuttle run test is a negative relationship as r = −0.149. The strength of this negative relationship would be weak with r &lt;–0.3 as r moves away from zero in negative direction. This means that when Hamstring strength index 60 degree/s increases and Shuttle run test decreases. 4. Without using numbers, describe the relationship between the Hamstring strength index 120/s and the Triple hop index The relationship between the Hamstring strength index 120/s and the Triple hop index is r = 0.420. This is a moderate positive relationship since the r value falls between 0.3 to 0.5. This relationship is also statistically significant since the p value is less than the alpha value (0.019 and