Prey attracts predators Here is one way in which nature regulates the size of animal populations: high population density attracts predators, which 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 large circular pens on sandy ocean bottoms off the coast of southern California. He chose young perch at random from a large group and placed 10, 20, 40, and 60 perch in the four pens. Then he dropped the nets protecting the pens, allowing bass to swarm in, and counted the

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. In southern California, a researcher set up four large circular pens on a sandy ocean bottom. He chose young perch at random from a large group and placed 10, 20, 40, and 60 perch in the four pens. Then he dropped the nets protecting the pens, allowing bass to swarm in. The researcher counted the perch remaining after 2 hours. There is a roughly linear pattern between the variable proportion of perch eaten by the bass against the variable number of perch in a pen before the bass were let in. The least-squares equation for predicting the proportion eaten from the initial count of perch is:

proportion eaten = 0.120 + 0.0086(count)

When 10 perch are in a pen, what is the proportion that are eaten (according to the regression line)? Type only your numeric answer.

Step-by-step explanation:

Going by the above question, we will first of all calculate the regression equation.

regression equation is Y = 0.120 + 0.0086*X

we use this equation to predict the proportion eaten

When 10 perch are in a pen, X=10

Y = 0.120 + 0.0086*10

Y = 0.206

0.206 is the proportion that are eaten

akposevictor akposevictor · Answer 2 · 2025-03-29T01:34:05-04:00

Using a regression equation, the proportion that would be eaten when 10 perch are in the pen is: 0.206.

What is a Regresion equation?

A regression equation is a mathematical expression used in statistics to find the relationship that exists between the dependent and independent variables.

To predict the proportion that is eaten when 10 perchs are in the pen, first derive the regression equation, which is:

Y = 0.120 + 0.0086 × X

Plug in the value of X = 10:

Y = 0.120 + 0.0086 × 10 = 0.206

Therefore, using a regression equation, the proportion that would be eaten when 10 perch are in the pen is: 0.206.

Learn more about regression equation on:

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