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Each of these relationships reflects a correlation. Which relationship most likely reflects correlation but not causation? $\newline$ Choices: $\newline$ (A) Going to the movies more often is associated with renting movies at home more often. $\newline$ (B) Going to the movies more often is associated with spending more money. $\newline$ (C) Going to the movies more often is associated with eating more popcorn.

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Correlation and causation

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Q. Each of these relationships reflects a correlation. Which relationship most likely reflects correlation but not causation?

\newline

Choices:

\newline

(A) Going to the movies more often is associated with renting movies at home more often.

\newline

(B) Going to the movies more often is associated with spending more money.

\newline

(C) Going to the movies more often is associated with eating more popcorn.

Analyze Relationship: Analyze the relationship of option (A): Does going to the movies more often cause renting movies at home more often? It's possible that both activities increase due to a general interest in movies, but one does not necessarily cause the other.
Analyze Relationship: Analyze the relationship of option (B): Does going to the movies more often cause spending more money? While there is a direct cost associated with going to the movies, which implies spending more money, this could be a case of causation as well as correlation.
Analyze Relationship: Analyze the relationship of option (C): Does going to the movies more often cause eating more popcorn? While it's common to eat popcorn at the movies, going to the movies more often doesn't cause one to eat more popcorn outside of that context. This is likely a correlation due to the environment of the movie theater rather than a direct causation.
Select Likely Option: Select the option that most likely reflects correlation but not causation. Based on the analysis, option $(A)$ seems to reflect a situation where two behaviors are correlated due to a shared interest in movies, but one does not necessarily cause the other.

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