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Prey attracts predators Refer to Exercise 3. Computer output from the least-squares regression analysis on the perch data is shown below.

The model for regression inference has three parameters: α,βand σ. Explain what each parameter represents in context. Then provide an estimate for each.

Short Answer

Expert verified

Three parameters of the regression inference model were found to be:

α=0.12049

β=0.008569

σ=0.1886

Step by step solution

01

Given Information

Computer output from the least-squares regression analysis on the perch data is shown below.

02

Explanation

The y-intercept, or estimate of the fraction of fish killed when the tank contains no fish, is α. The estimate of αis given in the "Coef" column and the "Constant" row:

α=0.12049.

The slope is defined as the predicted proportion of fish destroyed per fish in the tank. The estimate of βis given in the "Coef" column and the "Perch" row:

β=0.008569.

The fraction of fish killed around the population regression line has a standard deviation of σ.

σ=0.1886

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