Pregunta

A survey showed that the more playtime parents spend with their children, the higher their scores on a scale of parental satisfaction. Which of the following correlation coefficients would best reflect the relationship between playtime and parental satisfaction? 0.00 -0.72 1.23 0.85

Ask by Ray Morrison. in the United States
Mar 20,2025

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The best correlation coefficient reflecting the positive relationship between playtime and parental satisfaction is \(0.85\).

Solución

1. A positive correlation means that as one variable increases, so does the other. In this case, as playtime increases, parental satisfaction increases. 2. The correlation coefficient must be between \(-1\) and \(1\). Among the options, \(1.23\) is not within this range and therefore is not valid. 3. A correlation coefficient of \(0.00\) would indicate no correlation, while \(-0.72\) would indicate a strong negative correlation — both of which do not reflect the positive relationship described. 4. The coefficient \(0.85\) is the only option that represents a strong positive correlation. Thus, the best reflection of the relationship is \(0.85\).

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Mind Expander

A correlation coefficient close to 1 indicates a strong positive relationship, which means as one variable increases, so does the other. In this case, a score of 0.85 would suggest that the more playtime parents have with their children, the happier they feel in their role, creating a sense of harmony and connection. On the flip side, a negative score like -0.72 would imply that as playtime increases, parental satisfaction actually decreases, which is the opposite of what the survey suggests. Therefore, the most fitting coefficient for this positive relationship is indeed 0.85!

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