b. The scatterplot to the right shows the composite grade on the ACT (American College Testing) exam and the English grade on the same exam. Would it make sense to find the correlation using this data set? Why or why not? A. Yes. There is no reason why linear regression would not be appropriate because the trend is linear. B. No. Linear regression is not appropriate because the trend is not linear. C. Yes. There is no reason why linear regression would not be appropriate because there is a large number of data points. D. No. Linear regression is not appropriate
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In examining the relationship between ACT composite scores and English grades, one must consider the nature of the data distribution. If the scatterplot appears to reveal a distinct linear trend, then calculating correlation and using linear regression could indeed make sense to quantify the relationship. However, if the data points are scattered without a clear pattern, that would indicate a lack of correlation, suggesting linear regression isn't suitable. Now, let’s explore how correlation isn’t always clear-cut. Multiple factors can influence student grades beyond just overall ACT scores, like the curriculum, individual study habits, and other external variables. Thus, even with a visible trend, it’s crucial to consider other influencing elements before jumping to conclusions about the correlation and causation.
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