Here is one way in which nature regulates the size of animal populations: high population density attracts predators, who remove a higher proportion of the population than when the density of the prey is low. One study looked at kelp perch and their common predator, the kelp bass. The researcher set up four similarly sized circular pens on sandy ocean bottom in southern California. He chose young perch at random from a large group and placed 10,10, 20,20, 40,40, and 6060 perch in the four pens. Then he dropped the nets protecting the pens, allowing bass to swarm in, and counted the perch left after two hours. The table contains data on the proportions of perch eaten in four repetitions of this setup22.this setup22. Perch Proportion Killed 10 0.0 0.1 0.3 0.3 20 0.2 0.3 0.3 0.6 40 0.075 0.3 0.6 0.725 60 0.517 0.55 0.7 0.817 SOLVE: What is the correlation, ?,? between the number of perch and the proportion of prey killed?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
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Here is one way in which nature regulates the size of animal populations: high population density attracts predators, who remove a higher proportion of the population than when the density of the prey is low. One study looked at kelp perch and their common predator, the kelp bass. The researcher set up four similarly sized circular pens on sandy ocean bottom in southern California. He chose young perch at random from a large group and placed 10,10, 20,20, 40,40, and 6060 perch in the four pens. Then he dropped the nets protecting the pens, allowing bass to swarm in, and counted the perch left after two hours. The table contains data on the proportions of perch eaten in four repetitions of this setup22.this setup22.

Perch Proportion Killed
10 0.0 0.1 0.3 0.3
20 0.2 0.3 0.3 0.6
40 0.075 0.3 0.6 0.725
60 0.517 0.55 0.7 0.817

SOLVE: What is the correlation, ?,? between the number of perch and the proportion of prey killed?

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