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.
355 exam-style questions on OCR (MEI) A Level Maths 2.5 Statistical Hypothesis Testing, covering 2.5.1 Process and language of hypothesis testing, 2.5.2 When to apply 1-tail and 2-tail tests, 2.5.3 Significance level and incorrect rejection, 2.5.4 Null and alternative hypotheses (binomial), 2.5.5 Conduct a binomial hypothesis test, 2.5.6 Critical and acceptance regions (binomial), 2.5.7 Distribution of the sample mean (A-level only), 2.5.8 Hypothesis test for a single mean (A-level only), 2.5.9 Critical and acceptance regions (mean) (A-level only), 2.5.10 Correlation as closeness to a straight line (A-level only), 2.5.11 Inference using a correlation coefficient (A-level only), and 2.5 Statistical Hypothesis Testing. Each one has a worked solution and a mark scheme showing where the marks go.