To determine which two points the trend line should go through to best represent the data in the given scatterplot, we need to examine the distribution of the points and the overall trend they exhibit.
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(30, 69) and (71, 78): These points are relatively low on the sales scale. The temperature change between them is considerable, but the sales do not increase significantly.
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(37, 30) and (48, 103): This pair covers a range of temperatures with a notable increase in sales, indicating a more significant relationship between temperature and sales.
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(40, 60) and (71, 78): This combination has a reasonable change in temperature, but the sales increase is modest and doesn't capture the full potential increase in sales with higher temperatures.
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(40, 60) and (80, 120): This pair showcases a lower temperature and a significantly higher one, with a notable increase in sales as temperature rises.
To best represent the data overall, including capturing the trend where higher temperatures lead to higher iced tea sales, the pair of points (40, 60) and (80, 120) would be the most effective choice. They demonstrate a clearer upward trend in sales as the temperature increases, which is the primary relationship we want the trend line to capture.