Lean Six Sigma Black Belt (LSSBB) — Question 9

Choose those characteristics of a Simple Linear Regression (SLR) Analysis that are applicable. (Note: There are 3 correct answers).

Answer options

• A. The Correlation Coefficient is always greater than the Regression Coefficient in a SLR
• B. General Regression Analysis deals only with Continuous Data
• C. Non-linear Regressions can explain curvature when with more statistical confidence than Linear Regressions
• D. SLR can help quantify the significance of variation in X that influences the variation in Y via a mathematical equation
• E. A Correlation does not explain causation but a Regression Analysis with a statistically valid mathematical equation does explain causation

Correct answer: A, D, E

Explanation

Options A, D, and E are correct because they accurately describe the characteristics of SLR, including the relationship between correlation and regression, the ability to quantify influences, and the distinction between correlation and causation. Option B is incorrect as General Regression Analysis can also address categorical data, and option C is misleading since non-linear regressions do not inherently provide more confidence than linear regressions in all cases.