Final answer:
The coefficient of determination (r²) and the standard error of the estimate (Syx) are unrelated and do not have a direct or inverse relationship.
Step-by-step explanation:
The coefficient of determination, also known as r², measures the proportion of the dependent variable's variation that can be explained by the independent variable using the regression line. It ranges from 0 to 1, with higher values indicating a stronger relationship. On the other hand, the standard error of the estimate, also known as Syx, measures the average distance between the actual data points and the predicted values from the regression line. These two statistics are unrelated and do not have a direct or inverse relationship.