Which two points should the line of best fit go through to best represent the data in the scatterplot?
On a graph, points are at (1, 16), (2, 15), (3, 14), (4, 9), (5, 8), and (6, 1).
(1, 16) and (2, 15)
(1, 16) and (6, 1)
(2, 15) and (4, 9)
(5, 8) and (6, 1)
The two points that the line of best fit should go through to best represent the data in the scatterplot are (1, 16) and (6, 1).
To determine which two points the line of best fit should go through to best represent the data in the scatterplot, we need to consider the points that align most closely with the overall pattern or trend of the data.
Looking at the given points (1, 16), (2, 15), (3, 14), (4, 9), (5, 8), and (6, 1), it appears that there is a general decreasing trend in the data as the x-values increase.
Therefore, the best choice would be (1, 16) and (5, 8) as they are the points that approximate this trend and are farther apart along the x-axis, representing a wider range of the data. Thus, the line of best fit should go through (1, 16) and (5, 8) to represent the data in the scatterplot.