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2.2.2 Scatter diagrams and correlation

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Question 78

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

2.2.2 Scatter diagrams and correlation Questions

  1. A Level
  2. /Maths
  3. /2.2.2 Scatter diagrams and correlation

157 exam-style questions on AQA A Level Maths 2.2.2 Scatter diagrams and correlation. Each one has a worked solution and a mark scheme showing where the marks go.

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