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When rabbits were introduced to the continent of Australia they quickly multiplied and spread across the continent since there were only primitive marsupial competitors and predators to interfere with the exponential growth of their population. The data in the following table can be used to create a model of rabbit population growth. Time (months) 3 6. 12 No. of Rabbits 32 107 309 770

When rabbits were introduced to the continent of Australia they quickly multiplied and spread across the continent since there were only primitive marsupial competitors and predators to interfere with the exponential growth of their population. The data in the following table can be used to create a model of rabbit population growth. Time (months) 3 6. 12 No. of Rabbits 32 107 309 770

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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When rabbits were introduced to the continent of Australia they quickly multiplied and spread across the continent since there were only primitive marsupial competitors and predators to interfere with the exponential growth of their population. The data in the following table can be used to create a model of rabbit population growth. Time (months) 9. 12 No. of Rabbits 32 107 309 770 1. Find the regression equation for the rabbit population as a function of time x. 2. Write the regression equation in terms of base e. 3. Use the equation from part b to estimate the time for the rabbits to exceed 10,000. 1. y= 7.898 x (1.491)* 2. y= 7.898eº3992x 3. x = 17.9 months 1. y= 7.982 x (1.497)* 2. y= 7.982e°.4035x 3. x = 17.7 months 1. y = 7.982 x (1.907)* 2. y = 7.982e06455x 3. x = 20.6 months 1. y = 7.898 x (1.049)* 2. y = 7.898e 00478x 3. x = 149 months
Transcribed Image Text:When rabbits were introduced to the continent of Australia they quickly multiplied and spread across the continent since there were only primitive marsupial competitors and predators to interfere with the exponential growth of their population. The data in the following table can be used to create a model of rabbit population growth. Time (months) 9. 12 No. of Rabbits 32 107 309 770 1. Find the regression equation for the rabbit population as a function of time x. 2. Write the regression equation in terms of base e. 3. Use the equation from part b to estimate the time for the rabbits to exceed 10,000. 1. y= 7.898 x (1.491)* 2. y= 7.898eº3992x 3. x = 17.9 months 1. y= 7.982 x (1.497)* 2. y= 7.982e°.4035x 3. x = 17.7 months 1. y = 7.982 x (1.907)* 2. y = 7.982e06455x 3. x = 20.6 months 1. y = 7.898 x (1.049)* 2. y = 7.898e 00478x 3. x = 149 months
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