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Roadrunners Problem, Part 1: Naturalists place 30 roadrunners in a game preserve that

Precalculus with Trigonometry: Concepts and Applications | 1st Edition | ISBN: 9781559533911 | Authors: Foerster ISBN: 9781559533911 468

Solution for problem 5 Chapter 8-3

Precalculus with Trigonometry: Concepts and Applications | 1st Edition

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Precalculus with Trigonometry: Concepts and Applications | 1st Edition | ISBN: 9781559533911 | Authors: Foerster

Precalculus with Trigonometry: Concepts and Applications | 1st Edition

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Problem 5

Roadrunners Problem, Part 1: Naturalists place 30 roadrunners in a game preserve that formerly had no roadrunners. Over the years, the population grows as shown in the table and in Figure 8-3l. a. Give a physical reason and a graphical reason why a logistic function would be a reasonable mathematical model for the roadrunner population as a function of time. By logistic regression, find the particular equation of the best-fitting logistic function. Plot the graph and the data on the same screen. Use a window with an x-range of 0 to 20 years. Sketch the result. b. What does your mathematical model predict for the roadrunner population at x = 20 years? What does the model predict for the maximum sustainable population? At approximately what value of x is the point of inflection, where the rate of population growth is a maximum? c. Find , the average of the y-values. Use to calculate SSdev, the sum of the squares of the deviations. Using the regression function in part a, calculate SSres, the sum of the squares of the residuals. Then find the coefficient of determination. How does this coefficient show that the logistic function fits the points quite well?

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Chapter 8-3, Problem 5 is Solved
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Textbook: Precalculus with Trigonometry: Concepts and Applications
Edition: 1
Author: Foerster
ISBN: 9781559533911

This textbook survival guide was created for the textbook: Precalculus with Trigonometry: Concepts and Applications, edition: 1. This full solution covers the following key subjects: . This expansive textbook survival guide covers 106 chapters, and 2321 solutions. Since the solution to 5 from 8-3 chapter was answered, more than 230 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 5 from chapter: 8-3 was answered by , our top Calculus solution expert on 03/16/18, 04:16PM. The answer to “Roadrunners Problem, Part 1: Naturalists place 30 roadrunners in a game preserve that formerly had no roadrunners. Over the years, the population grows as shown in the table and in Figure 8-3l. a. Give a physical reason and a graphical reason why a logistic function would be a reasonable mathematical model for the roadrunner population as a function of time. By logistic regression, find the particular equation of the best-fitting logistic function. Plot the graph and the data on the same screen. Use a window with an x-range of 0 to 20 years. Sketch the result. b. What does your mathematical model predict for the roadrunner population at x = 20 years? What does the model predict for the maximum sustainable population? At approximately what value of x is the point of inflection, where the rate of population growth is a maximum? c. Find , the average of the y-values. Use to calculate SSdev, the sum of the squares of the deviations. Using the regression function in part a, calculate SSres, the sum of the squares of the residuals. Then find the coefficient of determination. How does this coefficient show that the logistic function fits the points quite well?” is broken down into a number of easy to follow steps, and 199 words. Precalculus with Trigonometry: Concepts and Applications was written by and is associated to the ISBN: 9781559533911.

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Roadrunners Problem, Part 1: Naturalists place 30 roadrunners in a game preserve that