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.
278 exam-style questions on CCEA A Level Maths 2.5 Data presentation and interpretation, covering 2.5.1 Data presentation and interpretation, 2.5.2 Data presentation and interpretation, 2.5.3 Data presentation and interpretation, 2.5.4 Data presentation and interpretation, 2.5.5 Data presentation and interpretation, 2.5.6 Data presentation and interpretation, 2.5.7 Data presentation and interpretation, 2.5.8 Data presentation and interpretation, 2.5.9 Data presentation and interpretation, and 2.5 Data presentation and interpretation. Each one has a worked solution and a mark scheme showing where the marks go.