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2.2.2 Scatter diagrams and correlation

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Question 65

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

A plot of $log_{10} S$ against $x\,$ produces a straight line $l$ .

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

Find an equation for $l$ .

[2]

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

[3]

Markscheme

2.2.2 Scatter diagrams and correlation Questions

A Level
Maths
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.

2.2.2 Scatter diagrams and correlation

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2.2.2 Scatter diagrams and correlation

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Question 65

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

A plot of $log_{10} S$ against $x\,$ produces a straight line $l$ .

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

Find an equation for $l$ .

[2]

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

[3]

Markscheme

2.2.2 Scatter diagrams and correlation Questions

A Level
Maths
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.