4.03: Linearising a power relationship

0606/23/M/J/26 — Question 4 · 6 marks

The variables satisfy \(y=Px^4+Q\). Values of \((x,y)\) are \((0.48,0.23)\), \((0.95,0.61)\), \((1.19,1.20)\), \((1.34,1.81)\) and \((1.40,2.12)\).
(a)
Plot a suitable straight-line graph.
[2]
(b)
Use the graph to estimate \(P\) and \(Q\).
[3]
(c)
Estimate \(y\) when \(x=1.05\).
[1]
Official diagram for Question 4