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2 Unit AS 2: Applied Mathematics

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Question 125

A chemical engineer is investigating the relationship between the reaction temperature TTT, in degrees Celsius, and the volume of byproduct VVV, in millilitres, produced in a specific industrial process. A sample of 50 reactions was monitored and the results were recorded.

The following summary statistics were calculated from these data:

∑T=1250,∑T2=32000,∑V=8000,∑TV=198400,SVV=4500 \sum T = 1250, \quad \sum T^2 = 32000, \quad \sum V = 8000, \quad \sum TV = 198400, \quad S_{VV} = 4500 ∑T=1250,∑T2=32000,∑V=8000,∑TV=198400,SVV​=4500
a.

Find STTS_{TT}STT​ and STVS_{TV}STV​.

[4]
b.

Calculate, to 3 significant figures, the product moment correlation coefficient between TTT and VVV.

[2]
c.

Give an interpretation of your coefficient in the context of the engineer's study.

[2]
Markscheme

2 Unit AS 2: Applied Mathematics Questions

  1. A Level
  2. /Maths
  3. /2 Unit AS 2: Applied Mathematics

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