Answer:
Public health researchers often use statistical analysis to examine the relationships between different factors that impact health outcomes. In a recent study, researchers investigated the relationship between physical activity and depression in a sample of 500 adults drawn from a population of 10,000. The independent variable in this study was physical activity, which was measured using self-reported data and categorized into three groups: low, moderate, and high. The dependent variable was depression, which was measured using a standardized questionnaire. Researchers also included covariates such as age, gender, and body mass index in their analysis. To determine the significance of the relationship between physical activity and depression, researchers used an independent t-test and calculated a p-value of 0.01. The results were statistically significant, indicating that higher levels of physical activity were associated with lower levels of depression. The mean level of depression in the high physical activity group was 10.2, with a standard deviation of 2.5. Finally, to account for the influence of covariates, researchers conducted a multiple regression analysis using a parametric method. The results of this analysis indicated that physical activity remained a significant predictor of depression after controlling for covariates.