Beyond Common Core
Problem 15 of 45s12-015
Six points are , , , , and . If is removed, what happens to the slope of the least-squares line and to ?
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Solution walkthrough2:09
- A point far from the others in is influential: the least-squares line swings to pass near it.
- The five points from to rise steadily. is far to the right and far below that trend.
- With the line is dragged down to it: slope and .
- Without it the line follows the five points: slope and . Both the slope and increase.
- Traps: one far point is not minor. It dragged the line down, and dropping a point that breaks the pattern raises .