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Regression, Correlation and Hypothesis Testing

Regression, Correlation and Hypothesis Testing

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Question 150

An environmental study records the daily duration of sunshine, sss hours, and the corresponding maximum electricity yield, EEE kWh, from a fixed solar panel array. Over n=15n=15n=15 days, the following summary statistics were obtained:

∑s=120∑s2=1120∑E=600∑E2=25500∑sE=5250 \sum s = 120 \quad \sum s^2 = 1120 \quad \sum E = 600 \quad \sum E^2 = 25500 \quad \sum sE = 5250 ∑s=120∑s2=1120∑E=600∑E2=25500∑sE=5250
a.

Find the values of SssS_{ss}Sss​ and SsES_{sE}SsE​.

[2]
b.

Given that SEE=1500S_{EE} = 1500SEE​=1500,

calculate the product moment correlation coefficient, rrr.

[2]
c.

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

[1]
Markscheme

Regression, Correlation and Hypothesis Testing Questions

  1. A Level
  2. /Maths
  3. /Regression, Correlation and Hypothesis Testing

202 exam-style questions on Edexcel A Level Maths Regression, Correlation and Hypothesis Testing, covering 1.1 Exponential Models, 1.2 Measuring Correlation, and 1.3 Hypothesis Testing for Zero Correlation. Each one has a worked solution and a mark scheme showing where the marks go.

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