Interpreting The coefficient of determination You are intere

Interpreting The coefficient of determination You are interested in the role of exercise in maintaining cardiac health among young adult women between the ages of 25 and 35. You ask 60 patients to record the number of days they exercise in a month to see whether frequency of exercise correlates with systolic blood pressure. You calculate the Pearson correlation coefficient, r = -0.16, and find a strong linear relationship Suppose you want to predict the systolic blood pressure based on the number of days of exercise in a month among young women. The coefficient of determination is r2 = , indicating that of the variability in the systolic blood pressure can be explained by the relationship between the systolic blood pressure and the number of days of exercise in a month

Solution

Coefficient of determination = r² where r is the correlation coefficient

Here r = -0.16

Hence coefficient of determination = 0.0256, indicating that 2.56% of the variability in the systolic blood pressured can be explained by the relationship between the systolic blood pressure and the no of days of exercise in a month.