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Each of these relationships reflects a correlation. Which relationship most likely reflects correlation but not causation? $\newline$ Choices: $\newline$ (A) Owning more couches is associated with owning more dining room chairs. $\newline$ (B) Owning more TVs is associated with owning more remote controls. $\newline$ (C) Owning more beds is associated with owning more mattresses.

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Correlation and causation

Full solution

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

\newline

Choices:

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(A) Owning more couches is associated with owning more dining room chairs.

\newline

(B) Owning more TVs is associated with owning more remote controls.

\newline

(C) Owning more beds is associated with owning more mattresses.

Analyze Relationship of Option (A): Analyze the relationship of option (A): Does owning more couches cause one to own more dining room chairs? The answer is likely No, as the number of couches someone owns does not cause them to own dining room chairs. However, there may be a correlation because a larger home could accommodate more furniture of all types.
Analyze Relationship of Option (B): Analyze the relationship of option (B): Does owning more TVs cause one to own more remote controls? The answer is Yes, as each TV typically comes with a remote control, so the number of TVs directly increases the number of remote controls. This suggests a causation rather than just a correlation.
Analyze Relationship of Option (C): Analyze the relationship of option (C): Does owning more beds cause one to own more mattresses? The answer is Yes, as each bed typically requires a mattress, so the number of beds directly increases the number of mattresses. This suggests a causation rather than just a correlation.
Select Likely Correlation: Finally, select the option that most likely reflects correlation but not causation. The answer is 'Owning more couches is associated with owning more dining room chairs.' as the number of couches someone owns does not cause them to own dining room chairs, but there may be a correlation due to other factors such as the size of the living space.

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