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=812
Find 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.
Practise Edexcel A Level Maths Regression, Correlation and Hypothesis Testing with exam-style questions for A Level Maths. 100 questions covering Exponential Models, Measuring Correlation, and Hypothesis Testing for Zero Correlation, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.