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Regression, Correlation and Hypothesis Testing

Regression, Correlation and Hypothesis Testing

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Question 111

A physics researcher is investigating the relationship between the intensity of light, yyy, and the distance, xxx, from a specialized laser source. The researcher finds that there is a linear relationship between log⁡10y\log_{10} ylog10​y and log⁡10x\log_{10} xlog10​x. The line representing this relationship passes through the points (1,7)(1, 7)(1,7) and (4,1)(4, 1)(4,1).

a.

Determine an equation linking log⁡10y\log_{10} ylog10​y with log⁡10x\log_{10} xlog10​x.

[2]
b.

Hence, or otherwise, express yyy in the form pxqpx^qpxq, where ppp and qqq are constants to be found.

[3]
Markscheme

Regression, Correlation and Hypothesis Testing Questions

  1. A Level
  2. /Maths
  3. /Regression, Correlation and Hypothesis Testing

202 exam-style questions on Edexcel A Level Maths Regression, Correlation and Hypothesis Testing, covering 1.1 Exponential Models, 1.2 Measuring Correlation, and 1.3 Hypothesis Testing for Zero Correlation. Each one has a worked solution and a mark scheme showing where the marks go.

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