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Question
which situation best represents association but not causation? when more gallons of water are put into an aquarium, the weight of the aquarium increases. when the amount of time an athlete runs increases, the distance she runs increases. when the number of spectators at a football game increases, the number of wins for the home team increases. when the charge of a cell phone battery increases, the number of minutes the phone can be used increases.
Association means two variables are related, while causation means one variable causes the other. In the case of more water in an aquarium causing its weight to increase, time running causing distance to increase, and battery - charge increasing causing phone - usage time to increase, there is a causal relationship. However, the number of spectators at a football game and the number of home - team wins may be associated (e.g., more fans might create a better atmosphere), but the number of spectators does not directly cause the team to win.
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When the number of spectators at a football game increases, the number of wins for the home team increases.