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Question
two students draw lines of best fit on the same scatterplot, showing the number of smoothies samples given out and total smoothies sold. which line is the better model of the data, and why? student b, because it passes through the most points exactly student a, because the line has a steeper slope student b, because the line ends at the highest point
A line of best fit should pass through as many points as possible. Student B's line passes through more points exactly compared to Student A's line. The slope of the line (Student A's claim) and where the line ends (Student C's claim) are not the criteria for a good line of best fit. The key is how well the line represents the data points, and passing through more points is a strong indicator of a better model.
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Student B, because it passes through the most points exactly.