what is the value of pearson r for th relatioship between quadriceps sstrength and the side step test? explain to justify your anwser.

n quadriceps test
index (60%)
side 31 r=0.528
step p=0.002
test
sig.(2 tailed)

The value of the Pearson r is stated in the data you have listed. r = 0.528.

To determine the value of Pearson r for the relationship between quadriceps strength and the side step test, you would typically need access to the raw data of both variables. However, based on the limited information provided, we can see that the sample size (n) is 31, and the Pearson correlation coefficient (r) is 0.528. Additionally, the p-value associated with this correlation coefficient is 0.002.

The Pearson correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation.

In this case, the value of 0.528 suggests a moderately positive correlation between quadriceps strength and the side step test. This means that as quadriceps strength increases, there is a tendency for performance on the side step test to also improve.

The p-value (0.002) indicates the statistical significance of the correlation coefficient. In this context, it means that there is strong evidence to suggest that the observed correlation between quadriceps strength and the side step test is not due to random chance. The smaller the p-value, the stronger the evidence against the null hypothesis (which states that there is no significant correlation).

To arrive at these values, a statistical analysis was likely performed using statistical software or programming language. This analysis involved inputting the raw data for quadriceps strength and the side step test and then running a correlation analysis, which includes calculating Pearson's correlation coefficient (r) and its associated p-value.

Keep in mind that these interpretations are based solely on the information provided, and a comprehensive analysis would require a detailed understanding of the data, the context, and the specific research question being addressed.