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Chapter 12: Q. 5 (page 760)

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: 伪,尾and 蟽. 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:

伪=0.12049

尾=0.008569

蟽=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 伪. The estimate of 伪is given in the "Coef" column and the "Constant" row:

伪=0.12049.

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

尾=0.008569.

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

蟽=0.1886

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Most popular questions from this chapter

The swinging pendulum Mrs. Hanrahan鈥檚 precalculus class collected data on the length (in centimeters) of a pendulum and the time (in seconds) the pendulum took to complete one back-and-forth swing (called its period). Here are their data:

(a) Make a reasonably accurate scatterplot of the data by hand, using length as the explanatory variable. Describe what you see. (b) The theoretical relationship between a pendulum鈥檚 length and its period is

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Give the equation of the least-squares regression line. Define any variables you use.

The slope 尾 of the population regression line describes

(a) the exact increase in the selling price of an individual unit when its appraised value increases by \(1000

(b) the average increase in the appraised value in a population of units when the selling price increases by \)51000.

(c) the average increase in selling price in a population of units when the appraised value increases by \( 1000.

(d) the average selling price in a population of units when a unit's appraised value is 0.

(e) the average increase in appraised value in a sample of 16 units when the selling price increases by \) 1000.

A Harris Poll found that 54%of American adults don鈥檛 think that human beings developed from earlier species. The poll鈥檚 margin of error for 95%confidence was 3%. This means that ,

(a) There is a 95%chance that the interval (51%,57%) contains the true percent of American adults who do not think that human beings developed from earlier species.

(b) The poll used a method that provides an estimate within 3%of the truth about the population 95%of the time.

(c) If Harris takes another poll using the same method, the results of the second poll will lie between 51%and 57%.

(d) Harris should have surveyed more people so that the margin of error would be 0%instead of 3%.

(e) The poll used a method that would result in an interval that contains 54%in 95%of all possible samples of the same size from this population.
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