It may seem odd, but biologists can tell how old a lobster is by measuring the concentration of pigment in the lobster€™s eye. The authors of the paper €œNeurolipofuscin 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, which would be the case if there is a strong relationship between the concentration in the right eye and the concentration in the left eye. Pigment concentration (as a percentage of tissue sample) was measured in both eyes for 39 lobsters, resulting in the following summary quantities (based on data from a graph in the paper):

An alternative formula for computing the correlation coefficient that doesn€™t involve calculating the z scores is

Use this formula to compute the value of the correlation coefficient, and interpret this value.

Transcribed Image Text:

n=39 x-88.8 y-861 Σ.y_ 286.6 Zay-28 1.1 ΣΧ_ 288.0