Suppose a study finds a positive correlation between the number of TV sets in the home of high school seniors and their admission rate into college. Which of the following might we conclude from this data? The increase in home TV sets improves the likelihood of college admission. Better students tend to have a TV set available. This is an anomaly and there is no relationship between TVs in the home and college admission rate. There may be a third variable that creates a link between the number of TVs in the home and college admission rate.
Question
Suppose a study finds a positive correlation between the number of TV sets in the home of high school seniors and their admission rate into college. Which of the following might we conclude from this data? The increase in home TV sets improves the likelihood of college admission. Better students tend to have a TV set available. This is an anomaly and there is no relationship between TVs in the home and college admission rate. There may be a third variable that creates a link between the number of TVs in the home and college admission rate.
Solution
Based on the data presented, we could potentially draw several conclusions:
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The increase in home TV sets improves the likelihood of college admission: This could be one interpretation, suggesting that having more TVs somehow contributes to a student's academic success. However, correlation does not imply causation, so we cannot definitively say that more TVs cause higher college admission rates.
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Better students tend to have a TV set available: This is another possible interpretation. It could be that students who are more academically successful also tend to have more resources, including TVs, at their disposal.
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This is an anomaly and there is no relationship between TVs in the home and college admission rate: It's also possible that the correlation observed is simply due to chance and there is no real relationship between the number of TVs and college admission rates.
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There may be a third variable that creates a link between the number of TVs in the home and college admission rate: This is perhaps the most likely explanation. There could be a third factor, such as household income or parental education level, that is associated with both the number of TVs in a home and a student's likelihood of college admission. This is known as a confounding variable.
In conclusion, while the study found a positive correlation, more research would be needed to determine the exact nature of the relationship between the number of TVs in a home and college admission rates.
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