Six Sigma Green Belt Certification Practice Exam

If r = 0.97, as the independent variable b increases, one would expect the dependent variable to______?

1. Increase

2. Decrease

3. Stay the same

4. Can't tell

The correct answer is: Increase

When the correlation coefficient \( r = 0.97 \), it indicates a very strong positive correlation between the independent variable \( b \) and the dependent variable. This means that as the values of the independent variable increase, the values of the dependent variable are also expected to increase. A strong positive correlation close to 1 signifies that there is a direct relationship between the two variables; specifically, for every increase in the independent variable, there should be a corresponding increase in the dependent variable. Therefore, the correct answer is that one would expect the dependent variable to increase as the independent variable \( b \) increases.