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Extrapolation

Extrapolation extends the best-fit line beyond the measured data to estimate a value. Use a dashed extension and treat the estimate with caution.

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Extrapolation means extending your straight line beyond the range of the points you actually measured, in order to estimate a value you did not record. A common example is extending a cooling graph to predict a temperature at a later time.

To do it, continue the best-fit line in the same straight direction past the last data point, usually drawn as a dashed line so it is clearly distinguished from the measured region. Then read the required value from the extended line using the scale.

Extrapolation carries an important caution: it assumes the same straight-line relationship continues to hold beyond the data, which is not always true in reality. The further you extend, the less certain the estimate becomes.

Used carefully, extrapolation is a valid technique, but you should recognise its assumption and not treat a far-off extrapolated value as if it were measured.

Time / s Temperature / °C

What examiners award

Marks are awarded for extending the best-fit line in the same direction, usually dashed, and reading the estimated value correctly from the scale.

Common mark losses

Marks are lost for bending the extended line, extrapolating from a poor best-fit line, or misreading the value from the extension.

In short

Extrapolation extends the best-fit line beyond the measured data to estimate a value. Use a dashed extension and treat the estimate with caution.

A routine that works

Practise the mechanics until they are automatic: label both axes with units, choose a scale that fills more than half the grid, plot points with a sharp pencil, draw a single best-fit line, and take the gradient from a large triangle with its coordinates and unit shown. One clean example beats re-reading the theory.

Source: DSKP KSSM Physics Form 4 and 5 (Versi English) (Bahagian Pembangunan Kurikulum (BPK), KPM)

Written by the spmphysics.com.my editorial team.· Updated 5 Sept 2026

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