Fitting a line to transformed measurements

Fitting a line to transformed measurements

Secondary 3
7 marks
TGM Original Questions

The measured values below are modelled by \(y=ax+b/x\), where \(a\) and \(b\) are constants.

\(x\)12345
\(y\)7.046.487.79.2411.01
  1. On separate graph paper, plot \(xy\) against \(x^2\), and draw a straight line of best fit.[4]
  2. Use your line to estimate \(a\) and \(b\).[3]

Solution:

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Answer:(a) See plotted line. (b) \(a\approx2,\ b\approx5\).

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