Solved: To determine a relationship between the number of fish and the number of species

Chapter 8, Problem 11

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To determine a relationship between the number of fish and the number of species of fish in samples taken for a portion of the Great Barrier Reef, P. Sale and R. Dybdahl [SD] fit a linear least squares polynomial to the following collection of data, which were collected in samples over a 2-year period. Let x be the number of fish in the sample and y be the number of species in the sample. xy xy x y 13 11 29 12 60 14 15 10 30 14 62 21 16 11 31 16 64 21 21 12 36 17 70 24 22 12 40 13 72 17 23 13 42 14 100 23 25 13 55 22 130 34 Determine the linear least squares polynomial for these data.