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=7700Find SLLS_{LL}SLL and SLGS_{LG}SLG.
Given that SGG=440S_{GG} = 440SGG=440,
calculate the product moment correlation coefficient, rrr, for these data.
Interpret your value of rrr in the context of the experiment.
202 exam-style questions on Edexcel A Level Maths Regression, Correlation and Hypothesis Testing, covering 1.1 Exponential Models, 1.2 Measuring Correlation, and 1.3 Hypothesis Testing for Zero Correlation. Each one has a worked solution and a mark scheme showing where the marks go.