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Bivariate Data, SM-Bank 006

The lengths and diameters, in millimetres, of a sample of jellyfish selected were recorded and displayed in the scatterplot below.

A line of best fit for this data is shown.
 

  1. Determine the expected length of a jellyfish with a diameter of 12 millimetres.   (1 mark)

  2. Determine the expected diameter of a jellyfish with a length of 16 millimetres.   (1 mark)

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i.    \(\text{A diameter of 12 mm (x-axis)}\ \ \Rightarrow \ \ \text{length 14 mm}\)

ii.    \(\text{Length of 16 mm (y-axis)}\ \ \Rightarrow \ \ \text{diameter 14.4 mm (approx)}\)

Show Worked Solution

i.    \(\text{A diameter of 12 mm (x-axis)}\ \ \Rightarrow \ \ \text{length 14 mm}\)

ii.    \(\text{Length of 16 mm (y-axis)}\ \ \Rightarrow \ \ \text{diameter 14.4 mm (approx)}\)