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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 hairdressers give more haircuts, they sweep up more hair. $\newline$ (B) When nail technicians give more manicures, they give more pedicures. $\newline$ (C) When barbers shampoo more hair, they trim more beards.

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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:

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(A) When hairdressers give more haircuts, they sweep up more hair.

\newline

(B) When nail technicians give more manicures, they give more pedicures.

\newline

(C) When barbers shampoo more hair, they trim more beards.

Analyze Relationship First Option: Analyze the relationship of the first option $A$ : Does giving more haircuts cause hairdressers to sweep up more hair? The answer is Yes, as the amount of hair that needs to be swept up is directly dependent on the number of haircuts given.
Analyze Relationship Second Option: Analyze the relationship of the second option ( extit{B}): Does giving more manicures cause nail technicians to give more pedicures? The answer is Not necessarily, as the decision to give a pedicure may not be directly caused by giving a manicure. These services can be independent of each other, even if they are often offered together.
Analyze Relationship Third Option: Analyze the relationship of the third option ( extit{C}): Does shampooing more hair cause barbers to trim more beards? The answer is Not necessarily, as the frequency of beard trims may not be directly caused by the frequency of hair shampooing. These are separate services that may not always be correlated.
Select Most Likely Option: Finally, select the option that most likely reflects both correlation and causation. Based on the analysis, the answer is 'When hairdressers give more haircuts, they sweep up more hair.' as the act of giving a haircut directly causes more hair to be present that needs to be swept up.

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