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Uncertainty in a Gradient and Intercept

OCR AS-level PhysicsMeasurements and UncertaintiesLesson 9 of 12

When a gradient or y-intercept gives a physical quantity, the best-fit and worst-fit lines give its uncertainty.

Uncertainty in the gradient: the absolute uncertainty is the difference between the gradients of the best-fit and worst-fit lines.

percentage uncertainty = (|best gradient − worst gradient| ÷ best gradient) × 100%

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Key terms in this lesson

absolute uncertainty
The uncertainty in a measurement, expressed with the same units as the measurement itself.
percentage uncertainty
The absolute uncertainty in a measurement expressed as a percentage of the measured value.
best-fit line
The straight line or smooth curve on a graph that best represents the trend of the plotted data points.

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