Fitting a power model to data

Fitting a power model to data

Secondary 3
8 marks
TGM Original Questions

The measured values below are modelled by \(y=kx^n\), where \(k>0\).

\(x\)24816
\(y\)8.623.868.3191
  1. On separate graph paper, plot a suitable straight-line graph and draw a line of best fit. State the quantities on both axes.[4]
  2. Estimate \(k\) and \(n\), and hence estimate \(y\) when \(x=6\).[4]

Solution:

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Answer:(a) Plot \(\lg y\) against \(\lg x\). (b) \(k\approx3,\ n\approx1.5,\ y\approx44.1\).

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