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Each of these relationships reflects a correlation. Which relationship most likely reflects correlation but not causation?\newlineChoices:\newline(A)Driving a longer distance to work is associated with using more gas.\newline(B)Biking to work more often is associated with taking the bus to work more often.\newline(C)Commuting a shorter distance to work is associated with having more free time.

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Q. Each of these relationships reflects a correlation. Which relationship most likely reflects correlation but not causation?\newlineChoices:\newline(A)Driving a longer distance to work is associated with using more gas.\newline(B)Biking to work more often is associated with taking the bus to work more often.\newline(C)Commuting a shorter distance to work is associated with having more free time.
  1. Analyze Relationship A: Analyze the relationship of the first option (A): Does driving a longer distance to work cause using more gas? The answer is Yes, as using more gas is a direct consequence of driving a longer distance. This reflects both correlation and causation.
  2. Analyze Relationship B: Analyze the relationship of the second option (B): Does biking to work more often cause taking the bus to work more often? The answer is likely No, as these two modes of transportation are alternatives to each other. A correlation might exist if people who bike also use the bus on bad weather days or when they are unable to bike, but one does not cause the other.
  3. Analyze Relationship C: Analyze the relationship of the third option ( extit{C}): Does commuting a shorter distance to work cause having more free time? The answer is Yes, as having more free time could be a direct result of spending less time commuting. This reflects both correlation and causation.
  4. Select Correlation: Finally, select the option that most likely reflects correlation but not causation. The answer is 'Biking to work more often is associated with taking the bus to work more often.' (B)(B) as the relationship between these two activities is not causative but may be correlated due to other factors such as personal preferences or external circumstances.

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