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2.2.2 Scatter diagrams and correlation

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Question 52

An engineer is modelling the signal strength, S S\,S microvolts, of a transmitter at a distance of x x\,x km from it.

A plot of log⁡10S\log_{10} Slog10​S against x x\,x produces a straight line lll.

The line l l\,l passes through the points (0, 3.42)(0,\ 3.42)(0, 3.42) and (12, 1.02)(12,\ 1.02)(12, 1.02).

a.

Find an equation for lll.

[2]
b.

Hence express S S\,S in the form kbxkb^{x}kbx, giving the value of k k\,k and the value of b b\,b to 3 significant figures.

[3]
Markscheme

2.2.2 Scatter diagrams and correlation Questions

  1. A Level
  2. /Maths
  3. /2.2.2 Scatter diagrams and correlation

157 exam-style questions on AQA A Level Maths 2.2.2 Scatter diagrams and correlation. Each one has a worked solution and a mark scheme showing where the marks go.

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