6. Calhoun sketched a scatter plot comparing the numbers of hours studied to test scores for the latest test his class took. He found a trend line that was a good fit for the data. Which would you expect to be true? Select all that apply. (A) There are data points above and below the trend line. (B) The data have a linear association. (C) The data points on the graph line up in a perfectly straight line. (D) The slope of the trend line is positive. (E) There are more data points that are outliers than data points that are not outliers.
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When Calhoun sketched a scatter plot comparing hours studied to test scores, it's expected that (A) There are data points above and below the trend line. This is common because while there may be a general trend, individual results can vary widely due to many factors. Additionally, (D) The slope of the trend line is positive would also likely hold true, as typically, more hours studied leads to higher test scores—a classic case of positive correlation! Understanding these principles can help in analyzing data with scatter plots effectively, pointing out the importance of recognizing outliers, which are values that deviate significantly from the overall pattern. Remember, a trend line provides an average behavior of the data but does not predict every individual outcome!