When rabbits were introduced to the continent of Australia theyquickly multiplied and spread across the continent since there wereonly primitive marsupial competitors and predators to interfere withthe exponential growth of their population. The data in the followingtable can be used to create a model of rabbit population growth.Time (months)9.12No. of Rabbits321073097701. Find the regression equation for the rabbit population as a functionof 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 toexceed 10,000.1. y= 7.898 x (1.491)*2. y= 7.898eº3992x3. x = 17.9 months1. y= 7.982 x (1.497)*2. y= 7.982e°.4035x3. x = 17.7 months1. y = 7.982 x (1.907)*2. y = 7.982e06455x3. x = 20.6 months1. y = 7.898 x (1.049)*2. y = 7.898e 00478x3. x = 149 months

Using the Standard Formula of Exponential Regression:

Answered: When rabbits were introduced to the…

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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Question 1 Researchers are studying which variables impacted survival of crew and passengers aboard the Titanic during its historic sinking. They fit a model of the form: log-Puru Based on this model, an individual with a log-odds of survival equal to bo would represent (select all that apply) O Female Male O1st class O2nd class 3rd class O Crew Child O Adult Question 2 = bo + bi Class2nd + b₂ Class 3rd + b3 ClassCrew+b4 SexFemale + b5 Age Adult Researchers are studying which variables impacted survival of crew and passengers aboard the Titanic during its historic sinking. They fit a model of the form: log (1 = bo + b₁ Class2nd + b₂ Class3rd + b3 Class Crew+b4 Sex Female+ b5 Age Adult Psuru 1-Psuru Researchers estimate a value of ĥo=0.581. Based on this, what is the probability of survival of the individual identified above? Your answer should be a percentage rounded to 2 decimal places. (IE: .12345 becomes 12.35)
Important note: in part D, calculate the exponential method only
Forecast the percentage of tax returns that will be electronically filed for 2010 using exponential smoothing with α=0.1.
For the data set, perform exponential smoothing with alpha = 0.1 to determine the forecast for week 20. week Sales (1000s of gallons) 1 17 2 21 3 19 4 23 5 18 6 16 7 20 8 18 9 22 10 20 11 15 12 22 13 31 14 34 15 31 16 33 17 28 18 32 19 30
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Determine whether the following table shows exponential data or linear data. x 0 5 10 15 y 62 135.9 298 653.4 a) The data are linear.b) The data are exponential.
. Let T ∼ Pascal(m = 30, p = 1/2). For example, T could be measuring the number of cointosses required to see 30 heads.Use an inequality covered in class to put an upper bound on the probability Pr[T ≥ 100].
Which data set is exponential? (0, 0.1), (1, 0.5), (2, 2.5), (3, 12.5) (0, -1), (1, 0), (2, 7), (3, 20) (0, -1), (1, 0.5), (2, 2), (3, 3.5) (0, -1), (1, 2), (2, 11), (3, 26)
Part D. Data from the Statistical Abstract of the United States provides a panel data collected at the state level in 1987 and 1990. These data are used to estimate MODEL 1: The variables used in the analysis are: infmort is number of deaths within the year per 1,000 live births Ipcinc is natural log of per capita income Ipopul is natural log of the population (the population is in thousands) Iphysic is natural log of physicians per 100,000 inhabitants d90 is year dummy for 1990. For questions 1 to 4 you can assume that MLR 1-4 are satisfied. A 1. Use the Stata output below to interpret ß3. Test at a 5% significance level whether the number of physicians per capita has any effect on infant mortality rate. reg infmort 1pcinc 1popul 1physic d90 Source Model Residual Total infmort infmort = Po + B₁lpcinc + B₂lpopul + ß3lphysic + 8₁ d90 + u SS 78.0499129 350.452136 428.502049 df . 19.5124782 4 97 3.61290862 Coef. Std. Err. MS 101 4.24259454 1pcinc -4.693354 1.638132 1popul - .0551426…
Assuming equal effort (# of nets in the water has not changed and the fishing season dates have stayed the same) identify trends in the squid population you see in the data. Based on your textbook reading this week, speculate what processes or dynamics could produce the population trends seen in your data.
Table 3 gives the market value of a luxury sedan (in dollars) xyears after its purchase. Find an exponential regression model of the form y= ab* for this data set. Estimate the purchase price of the sedan. Estimate the value of the sedan 10 years after its purchase. Round answers to the nearest dollar. TABLE 3 Value ($) 1 23,125 19,050 3 15,625 11,875 5 9,450 6 7,125 2.

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