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2 Unit AS 2: Applied Mathematics

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Question 258

A botanist is investigating the relationship between light intensity, LLL, measured in kilolux, and the daily growth rate, GGG, measured in mm, of a rare desert succulent. The data from n=15n=15n=15 different specimens are summarized as follows:

∑L=600∑L2=25000∑G=180∑G2=2600∑LG=7700 \sum L = 600 \quad \sum L^2 = 25000 \quad \sum G = 180 \quad \sum G^2 = 2600 \quad \sum LG = 7700 ∑L=600∑L2=25000∑G=180∑G2=2600∑LG=7700
a.

Find SLLS_{LL}SLL​ and SLGS_{LG}SLG​.

[2]
b.

Given that SGG=440S_{GG} = 440SGG​=440,

calculate the product moment correlation coefficient, rrr, for these data.

[2]
c.

Interpret your value of rrr in the context of the experiment.

[2]
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2 Unit AS 2: Applied Mathematics Questions

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

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