Six Sigma Green Belt Certification Practice Exam

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Prepare for the Six Sigma Green Belt Certification Exam with comprehensive multiple-choice questions and detailed explanations. Start your journey to certification success!

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What is the range for the correlation coefficient r?

-2 to 2
0 to 1
-1 to 0
-1 to 1

The correct answer is: -1 to 1

The correlation coefficient, commonly represented by r, measures the strength and direction of the linear relationship between two variables. Its value can range from -1 to 1. A value of -1 indicates a perfect negative correlation, meaning that as one variable increases, the other variable decreases in a perfectly linear fashion. Conversely, a value of 1 indicates a perfect positive correlation, where both variables increase together in a straight line. A value of 0 suggests no correlation between the variables. Understanding this range is crucial in statistics and data analysis, as it guides the interpretation of the relationship between the variables being studied. Values outside of the -1 to 1 range are not possible for the correlation coefficient, hence all other choices fail to accurately reflect the actual mathematical properties of r.