Y, the output of a process, is the ______________ variable while Xn, the various inputs to a process, are the _____________ variables.

Question

Options

• AIndependent, dependent
• BIndividual, multiple
• CSole, multiple
• DDependent, independent

• A
  3% (1)
• C
  3% (1)
• D
  93% (28)

Explanation

Option D is correct because in process analysis, output (Y) depends on the inputs, making it the dependent variable, while the inputs (Xn) are controlled or manipulated independently, making them independent variables - this is the foundational relationship expressed as Y = f(X), common in Six Sigma and process improvement frameworks.

Why the distractors fail:

• A reverses the relationship entirely - inputs drive outputs, not the other way around.
• B and C ("Individual/Multiple" and "Sole/Multiple") describe quantity, not the causal role of the variables, and are not standard statistical or process terminology for this relationship.

Memory tip: Think of the word depend - the output depends on what goes in. Y depends on X, so Y is dependent. If Y relies on X, X must be the independent one calling the shots.

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