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Each of these relationships reflects a correlation. Which relationship most likely reflects both correlation and causation? $\newline$ Choices: $\newline$ (A) When people play the snare drum more often, they play the xylophone more often. $\newline$ (B) When people act in plays more often, they go to rehearsals more often. $\newline$ (C) When people dance more often, they sing more often.

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Correlation and causation

Full solution

Q. Each of these relationships reflects a correlation. Which relationship most likely reflects both correlation and causation?

\newline

Choices:

\newline

(A) When people play the snare drum more often, they play the xylophone more often.

\newline

(B) When people act in plays more often, they go to rehearsals more often.

\newline

(C) When people dance more often, they sing more often.

Analyze Relationship of Option A: Analyze the relationship of the first option ( $A$ ): Does playing the snare drum more often cause people to play the xylophone more often? The answer is likely No, as playing one instrument does not necessarily cause someone to play another instrument. The two activities could be correlated if, for example, they are both part of a percussionist's practice routine, but this does not imply causation.
Analyze Relationship of Option B: Analyze the relationship of the second option (B): Does acting in plays more often cause people to go to rehearsals more often? The answer is Yes, as going to rehearsals is a necessary part of acting in plays. Therefore, an increase in the frequency of acting in plays would naturally cause an increase in the frequency of attending rehearsals.
Analyze Relationship of Option C: Analyze the relationship of the third option ( $C$ ): Does dancing more often cause people to sing more often? The answer is likely No, as dancing and singing are independent activities. While they can be correlated, especially in the context of musical theater or certain types of performances, one does not necessarily cause the other.
Select Most Likely Option: Finally, select the option that most likely reflects both correlation and causation. Based on the analysis, the answer is (B) 'When people act in plays more often, they go to rehearsals more often.' as acting in plays causes an increase in rehearsal attendance.

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