It may seem odd, but one of the ways biologists can tell how old a lobster is involves measuring the concentration of a pigment called neurolipofuscin in the eyestalk of a lobster. (We are not making this up!) The authors of the paper “Neurolipofuscin Is a Measure of Age in Panulirus argus, the Caribbean Spiny Lobster, in Florida” (Biological Bulletin [2007]: 55-66) wondered if it was sufficient to measure the pigment in just one eye stalk, which would be the case if there is a strong relationship between the concentration in the right and left eyestalks.
Pigment concentration (as a percentage of tissue sample) was measured in both eyes talks for 39 lobsters, resulting in the following summary quantities (based on data read from a graph that appeared in the paper):
An alternative formula for calculating the
Use this formula to calculate the value of the correlation coefficient, and interpret this value.
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