Question

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: $\alpha ,\beta$and $\sigma$. Explain what each parameter represents in context. Then provide an estimate for each.

Short answer

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

$\alpha =0.12049$

$\beta =0.008569$

$\sigma =0.1886$

Step-by-step solution

Given Information

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

Explanation

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

$\alpha =0.12049$.

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

$\beta =0.008569$.

The fraction of fish killed around the population regression line has a standard deviation of $\sigma$.

$\sigma =0.1886$