An environmental study records the daily duration of sunshine, sss hours, and the corresponding maximum electricity yield, EEE kWh, from a fixed solar panel array. Over n=15n=15n=15 days, the following summary statistics were obtained:
∑s=120∑s2=1120∑E=600∑E2=25500∑sE=5250 \sum s = 120 \quad \sum s^2 = 1120 \quad \sum E = 600 \quad \sum E^2 = 25500 \quad \sum sE = 5250 ∑s=120∑s2=1120∑E=600∑E2=25500∑sE=5250Find the values of SssS_{ss}Sss and SsES_{sE}SsE.
Given that SEE=1500S_{EE} = 1500SEE=1500,
calculate the product moment correlation coefficient, rrr.
Interpret your value of rrr in the context of the study.
316 exam-style questions on OCR A Level Maths 2.5 Statistical Hypothesis Testing, covering 2.5.1 The language of hypothesis testing, 2.5.2 Hypothesis test for a binomial proportion, 2.5.3 Inference and significance level, 2.5.4 Sample mean as a random variable (A-level only), 2.5.5 Hypothesis test for the mean of a normal distribution (A-level only), 2.5.6 Pearson's product-moment correlation coefficient, and 2.5.7 Hypothesis test using Pearson's coefficient (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.