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2.2.2 Scatter diagrams and correlation

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Question 8

An oceanographic researcher investigates the relationship between the water depth, ddd (in metres), and the dissolved oxygen concentration, ccc (in mg/L), at 22 specific sites along a vertical transect. The following summary statistics were obtained from the collected data:

Sdd=18240Scc=64.8Sdc=−846.5 S_{dd} = 18240 \quad S_{cc} = 64.8 \quad S_{dc} = -846.5 Sdd​=18240Scc​=64.8Sdc​=−846.5
a.

Calculate the product moment correlation coefficient (rrr) for these data, giving your answer to 3 significant figures.

[3]
b.

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

[2]
c.

The researcher decides to express the depth in feet (fff) and the oxygen concentration in grams per cubic metre (ggg), using the coding f=3.28d+15f = 3.28d + 15f=3.28d+15 and g=1.0cg = 1.0cg=1.0c. State the value of the PMCC for the coded data.

[1]

2.2.2 Scatter diagrams and correlation Questions

  1. A Level
  2. /Maths
  3. /2.2.2 Scatter diagrams and correlation