In analysis, which statement is true?

In analysis, which statement is true?

• A. Correlation proves causation.
• B. Causation and correlation are the same.
• C. Correlation means two things vary together; causation means one causes the other; correlation alone does not prove cause.
• D. Correlation only exists with a linear relationship.

Answer: (C)

Both variables showing a pattern together is what correlation describes, but that pattern doesn’t prove that one variable causes the other. Causation means that changing one variable brings about a change in the other, and establishing causation usually requires considering the timing, mechanism, and ruling out other possible explanations. A common way to illustrate this is that two things can move together for a reason other than one causing the other, such as a third factor driving both. That’s why this statement is the best answer: it correctly defines what correlation means (they vary together) and distinguishes it from causation (one causes the other) while explicitly noting that correlation alone does not establish a causal relationship. The other options misstate the relationship: correlation does not prove causation, causation and correlation are not the same, and correlation is not limited to linear relationships (you can have associations that are not perfectly linear).

Both variables showing a pattern together is what correlation describes, but that pattern doesn’t prove that one variable causes the other. Causation means that changing one variable brings about a change in the other, and establishing causation usually requires considering the timing, mechanism, and ruling out other possible explanations. A common way to illustrate this is that two things can move together for a reason other than one causing the other, such as a third factor driving both.

That’s why this statement is the best answer: it correctly defines what correlation means (they vary together) and distinguishes it from causation (one causes the other) while explicitly noting that correlation alone does not establish a causal relationship. The other options misstate the relationship: correlation does not prove causation, causation and correlation are not the same, and correlation is not limited to linear relationships (you can have associations that are not perfectly linear).