Line of Best Fit

Directions: Using the integers 0-9 (without repeating any number), create 4 points that could generate a line of best fit with the equation y=-x+8.

(___,___) (___,___) (___,___) (___,___)


What is the relationship between points and a line of best fit?


There are many possible solution combinations. One answer looks like

Another answer would be (2,8) (0,6) (5,1) (7,3)

Source: Bryan Anderson

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  1. What are some other sets of integer pairs?

  2. Question about the 2 solutions. When I type y = -1 + 8 into desmos and then plot both solutions, all 4 points are symmetrically spaced around this line. But for both solution sets, if I tell desmos to create the line of best fit y1 ~ mx1 + b I’m given y = -0.6x + 7.4 and y = -0.7 + 7 for the 2 data sets. Can anyone explain why that is?

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