Fitting exponential measurements

Fitting exponential measurements

Secondary 3
7 marks
TGM Original Questions

Experimental values of \(x\) and \(y\) are given below. A model is \(y=ab^x\), where \(a,b>0\).

\(x\)01234
\(y\)5.027.9112.620.131.5
  1. On separate graph paper, plot \(\lg y\) against \(x\), 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) \(a\approx5.01,\ b\approx1.58\).

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