Question

From a set of graphed data the slope of the best fit line is found to be 1.35 m/s and the slope of the worst fit line is 1.29m/s. Determine the uncertainty for the slope of the line.

Answer 1

Let the slope of the best fit line be represented by '
`m_(best)`'

and the slope of the worst fit line be represented by '
`m_(worst)`'

Given that:

`m_(best)` = 1.35 m/s

`m_(worst)` = 1.29 m/s

Then the uncertainity in the slope of the line is given by the formula:

`\Delta m = (m_(best)-m_(worst))/(2)` (1)

Substituting values in eqn (1), we get

`\Delta m = (1.35 - 1.29)/(2)` = 0.03 m/s