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1.1 Exponential Models

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Question 7

The variables x x\,x and y y\,y are recorded and the results are shown in the table below

xxx12345678910
yyy4297548711119247826533050327954707439

The data is coded using the changes of variable r=xr = xr=x and s=log⁡10ys = \log_{10} ys=log10​y

a.

The product moment correlation coefficient for the coded data is 0.98 Comment on r r\,r for this model and therefore justify the use of a model in the form y=abxy = ab^xy=abx where a a\,a and b b\,b are constants

[3]
b.

The regression line of r r\,r on s s\,s is found to be s=2.60+0.127rs = 2.60 + 0.127rs=2.60+0.127r

Find the values of a a\,a and bbb, give your answers to 3 significant figures

[3]
Markscheme

1.1 Exponential Models Questions

  1. A Level
  2. /Maths
  3. /1.1 Exponential Models

42 exam-style questions on Edexcel A Level Maths 1.1 Exponential Models. Each one has a worked solution and a mark scheme showing where the marks go.

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