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2.2 Data Presentation and Interpretation

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Question 13

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 Data Presentation and Interpretation Questions

  1. A Level
  2. /Maths
  3. /2.2 Data Presentation and Interpretation

121 exam-style questions on OCR A Level Maths 2.2 Data Presentation and Interpretation, covering 2.2.1 Tables and diagrams for single variable data, 2.2.2 Area in a histogram, 2.2.3 Scatter diagrams and regression lines, 2.2.4 Informal interpretation of correlation, 2.2.5 Correlation and causation, 2.2.6 Measures of average and spread, 2.2.7 Calculations of mean and standard deviation, 2.2.8 Outliers, 2.2.9 Selecting or critiquing data presentation, and 2.2.10 Cleaning data. Each one has a worked solution and a mark scheme showing where the marks go.

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