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Figure 4.1. Uncertainty Calculation of a slope on a graph.

1. Draw the "best" line through all of the points, taking the error bars into consideration. Measure the line's slope.

2. Draw the "min" line, which has as small a slope as you believe is feasible (including error bars) while still adequately capturing all of the data. Measure the line's slope.

3. Draw the "max" line, which has as steep a slope as you believe is feasible (considering the error bars) while still adequately capturing all of the data. Measure the line's slope.

4. Calculate the slope uncertainty as one-half of the difference between the maximum and minimum slopes.
“best” slope =
“min” slope =
“max” slope =
Uncertainty in slope is
Based on the uncertainty, the slope has no more than two significant digits. As a result, we might conclude that the graph demonstrates:
slope =