Question

The least absolute deviation line equation for the data in the table is m = 0.1x + 2.9

What is the sum of the absolute deviations?

Answer 1

24.5

Explanation:

A calculator or spreadsheet is good for doing this sort of computation.

_____

You add up the magnitudes of the differences between the given y-value and the corresponding value you get from the equation. For the first couple of points, these values are ...

... |3 - (0.1·1 +2.9)| = 0

... |2.5 -(0.1·6 +2.9)| = |2.5 -3.5| = 1

The computation proceeds like this for the remaining 6 points, and the numbers added. The result is 24.5.