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.