To determine which two points a line of fit would go through to best fit the data, we would want to select points that represent the overall trend of the scatter plot, ideally covering both the higher and lower ends of the data.
Let's analyze the options:
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(6, 4) and (9, 1): This pair includes a point that is in the lower end of the y-values. The slope between them would be negative, which may not capture the overall trend of the dataset effectively.
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(3, 5) and (10, 1): This pair also connects a point in the mid-range (3, 5) to a lower point (10, 1). Like the previous option, it indicates a downward trend, but the point (10, 1) might drag the fit down too much.
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(1, 8) and (5, 6): This pair starts with a higher y-value (1, 8) and includes a mid-range value (5, 6). This option captures a somewhat decreasing trend but may not represent the lower end effectively.
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(1, 5) and (7, 3): This pair starts from a point (1, 5) and connects to a point (7, 3). This option captures both higher and lower values in the y-range while still showing a downward trend.
Given the data points and the analysis, the best choice for a line of fit that captures the general trend of the data would be option 4: (1, 5) and (7, 3).
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