An experiment is conducted to investigate the relationship between the applied force, fff, and the resulting extension, eee, of a spring. The results for n=12n=12n=12 different measurements are summarized below:
∑f=180∑f2=3040∑e=48∑e2=224∑fe=812 \sum f = 180 \quad \sum f^2 = 3040 \quad \sum e = 48 \quad \sum e^2 = 224 \quad \sum fe = 812 ∑f=180∑f2=3040∑e=48∑e2=224∑fe=812Find SffS_{ff}Sff and SfeS_{fe}Sfe.
Given that See=32S_{ee} = 32See=32,
calculate the product moment correlation coefficient, rrr.
Interpret your value of rrr in the context of the experiment.
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.