A scatter plot is shown on the coordinate plane.

Question

scatter plot with points plotted at 1 comma 7, 1 comma 10, 2 comma 6, 3 comma 7, 3 comma 8, 5 comma 8, 6 comma 6, 7 comma 4, 9 comma 2, and 10 comma 1

Which two points would a line of fit go through to best fit the data?
(1, 10) and (6, 6)
(1, 7) and (2, 6)
(3, 7) and (7, 4)
(3, 8) and (6, 6)

Answer 1

To determine which two points would be best for a line of fit for the given scatter plot, we want to find points that represent the general trend of the data.

Let's analyze the given options:

1. (1, 10) and (6, 6) - This pair starts high and moves downward, which does fit the trend of the dataset but may not capture the full spread of points.

2. (1, 7) and (2, 6) - Both points are quite close to each other and also don't represent the overall trend, as the second point (2, 6) is already significantly lower.

3. (3, 7) and (7, 4) - This pair shows a downward trend, but since it covers a smaller range, it may not be as representative.

4. (3, 8) and (6, 6) - This pair also shows a downward trend and covers a reasonable range of points in the data.

Considering these analyses, the pair (1, 10) and (6, 6) likely represents the overall trend of the dataset best, as it starts from a higher y-value and slopes downward significantly toward the middle of the points plotted.

Thus, the best answer to your question is:

(1, 10) and (6, 6).