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2.5 Data presentation and interpretation

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Question 136

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]
Markscheme

2.5 Data presentation and interpretation Questions

  1. A Level
  2. /Maths
  3. /2.5 Data presentation and interpretation

278 exam-style questions on CCEA A Level Maths 2.5 Data presentation and interpretation, covering 2.5.1 Data presentation and interpretation, 2.5.2 Data presentation and interpretation, 2.5.3 Data presentation and interpretation, 2.5.4 Data presentation and interpretation, 2.5.5 Data presentation and interpretation, 2.5.6 Data presentation and interpretation, 2.5.7 Data presentation and interpretation, 2.5.8 Data presentation and interpretation, 2.5.9 Data presentation and interpretation, and 2.5 Data presentation and interpretation. Each one has a worked solution and a mark scheme showing where the marks go.

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