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2.2 L: Data presentation and interpretation

2.2 L: Data presentation and interpretation

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Question 14

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
a.

Find SffS_{ff}Sff​ and SfeS_{fe}Sfe​.

[4]
b.

Given that See=32S_{ee} = 32See​=32,

calculate the product moment correlation coefficient, rrr.

[2]
c.

Interpret your value of rrr in the context of the experiment.

[2]
Markscheme

2.2 L: Data presentation and interpretation Questions

  1. A Level
  2. /Maths
  3. /2.2 L: Data presentation and interpretation

244 exam-style questions on AQA A Level Maths 2.2 L: Data presentation and interpretation, covering 2.2.1 Single-variable data diagrams, 2.2.2 Scatter diagrams and correlation, 2.2.3 Central tendency, variation and standard deviation, 2.2.4 Outliers and cleaning data, and 2.2 L: Data presentation and interpretation. Each one has a worked solution and a mark scheme showing where the marks go.

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