The article "Estimating Population Abundance in Plant Species with Dormant Life-Stages:Fire and the Endangered Plant Grevillea caleye R Br." (T. Auld and J. Scott, EcologicalManagement and Restoration, 2004:125-129) presents estimates of population sizes of acertain rare shrub in areas burnt by fire. The following table presents population counts andareas (in m?) for several patches containing the plant.Агеа3739Population301552771847400173453921424070002521213119581200287870711313921571200010880711742259223811533181254132022935110009284117201500300228312281710Compute the least-squares line for predicting population (y) from area (x).Б.a.Plot the residuals versus the fitted values. Does the model seem appropriate?Compute the least-squares line for predicting In y from In x.Plot the residuals versus the fitted values. Does the model seem appropriate?Using the more appropriate model, construct a 95% prediction interval for thepopulation in a patch whose area is 3000m.C.d.e.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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8. Entomological engineers are continually searching for new biological agents to control one of the world's worst aquatic weeds, the water hyacinth. An insect that naturally feeds on water hyacinth is the delphacid. Female delphacids lay anywhere from one to four eggs onto a water hyacinth blade. The Annals of the Entomological Society of America (Jan. 2005) published a study of the life cycle of a South American delphacid species. The accompanying table gives the percentages of water hyacinth blades that have one, two, three, and four delphacid eggs. One Egg Two Egg Three Egg Four Egg Percentage of Blades 40 54 2 4 Source: Sosa, A. J., et al. “Life history of Megamelus scutellaris with description of immature stages," Annals of the Entomological Society of America, Vol. 98, No. 1, Jan. 2005 (adapted from Table 1). a) One of the water hyacinth blades in the study is randomly selected and Y, the number of delphacid eggs on the blade, is observed. Give the probability distribution of Y.…
8.1 A person’s educational attainment and age group was collected by the U.S. Census Bureau in 1984 to see if age group and educational attainment are related. The counts in thousands are in following table ("Education by age," 2013): Table: Educational Attainment and Age Group Education Age Group Row Total 25-34 35-44 45-54 55-64 >64 Did not complete HS 5416 5030 5777 7606 13746 37575 Competed HS 16431 1855 9435 8795 7558 44074 College 1-3 years 8555 5576 3124 2524 2503 22282 College 4 or more years 9771 7596 3904 3109 2483 26863 Column Total 40173 20057 22240 22034 26290 130794 Do the data show that educational attainment and age are independent? Test at the 5% level. (i) Which of the following statements correctly defines the null hypothesis HO? A. level of educational attainment is not independent of age B. level of educational attainment is independent of age C.…
The scientific productivity of major world cities was the subject of a recent study. The study determined the number of scientific papers published between 1994 and 1997 by researchers from each of the 20 world cities, and is shown below. City Number of papers City Number of papers City 1 99 City 11 66 City 2 2020 City 12 44 City 3 2929 City 13 1313 City 4 3030 City 14 2929 City 5 2828 City 15 77 City 6 3030 City 16 1616 City 7 2727 City 17 2727 City 8 99 City 18 1515 City 9 2626 City 19 2929 City 10 2020 City 20 2727 Construct a 9090 % confidence interval for the average number of papers published in major world cities. <μ<<μ<
The scientific productivity of major world cities was the subject of a recent study. The study determined the number of scientific papers published between 1994 and 1997 by researchers from each of the 20 world cities, and is shown below. City Number of papers City Number of papers City 1 15 City 11 30 City 2 22 City 12 55 City 3 20 City 13 25 City 4 20 City 14 55 City 5 23 City 15 10 City 6 21 City 16 15 City 7 99 City 17 77 City 8 24 City 18 22 City 9 24 City 19 22 City 10 33 City 20 29 Construct a 9090 % confidence interval for the average number of papers published in major world cities. _______<μ<________
The toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. Here are data for beak heat loss, as a percent of total body heat loss from all sources, at various temperatures in degrees Celsius. [Note: The numerical values in this problem have been modified for testing purposes.] Temperature (oC)(oC) 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Percent heat loss from beak 33 32 33 32 39 43 56 48 44 49 44 56 58 60 60 63 The equation of the least-squares regression line for predicting beak heat loss, as a percent of total body heat loss from all sources, from temperature is: (Use decimal notation. Enter the values of the intercept and slope rounded to two…
The data in the accompanying table are from a national vital statistics report. Entries in the tables are the birth rates (births per 1,000 of population) for a certain year. State Births State Births Alabama 14.0 Missouri 13.6 Alaska 16.4 Montana 13.0 Arizona 16.4 Nebraska 15.4 Arkansas 14.7 Nevada 16.3 California 15.5 New Hampshire 10.8 Colorado 14.7 New Jersey 13.1 Connecticut 11.6 New Mexico 15.5 Delaware 14.3 New York 13.3 District of Columbia 15.3 North Carolina 14.5 Florida 13.3 North Dakota 13.8 Georgia 15.6 Ohio 13.4 Hawaii 14.6 Oklahoma 15.4 Idaho 16.9 Oregon 13.4 Illinois 14.3 Pennsylvania 12.3 Indiana 14.4 Rhode Island 11.9 Iowa 13.9 South Carolina 14.2 Kansas 15.3 South Dakota 15.1 Kentucky 14.0 Tennessee 14.3 Louisiana 15.1 Texas 17.3 Maine 10.9 Utah 20.8 Maryland 13.6 Vermont 10.5 Massachusetts 12.3 Virginia 14.3 Michigan 12.1 Washington 13.8 Minnesota 14.4 West Virginia 12.3 Mississippi 15.6 Wisconsin 13.0 Wyoming 15.3
ata Set 12 “Passive and Active Smoke” in Appendix B includes cotinine levels measured in a group of nonsmokers exposed to tobacco smoke (n = 40, Mean = 60.58 ng>mL, s = 138.08 ng>mL) and a group of nonsmokers not exposed to tobacco smoke (n = 40, Mean = 16.35 ng>mL, s = 62.53 ng>mL). Cotinine is a metabolite of nicotine, meaning that when nicotine is absorbed by the body, cotinine is produced. Use a 0.05 significance level to test the claim that nonsmokers exposed to tobacco smoke have a higher mean cotinine level than nonsmokers not exposed to tobacco smoke. 1. Find the degrees of freedom using the conversative estimate formula. What is it? 2. Find the critical value. What is it? 3. Sketch a normal distribution curve and highlight the region of significance.
Question 6 of 7 > -/1 E View Policies Current Attempt in Progress The following data set lists the number of women from each of 10 different countries who were on the Rolex Women's World Golf Rankings Top 25 list as of March 31, 2009. The data, entered in that order, are for the following countries: Australia, Brazil, England, Japan, Korea, Mexico, Norway, Sweden, Taiwan, and the United States. 2 1 1 2 9 1 1 2 2 4 a. Calculate the mean and median for these data set. Мean %3D i Median = i b. Identify the outliers in this data set. Write your answers in ascending orders. Outliers = i and i Drop the outliers and recalculate the mean and median. Mean = i Median = i Which of these two summary measures changes by a larger amount when you drop the outliers? c. Which is the better summary measure for these data, the mean or the median? Explain. The is a better measure because it as sensitive to the outliers as the other one.
12. Western Pygmy-Possum. The foraging behavior of the west- ern pygmy-possum was investigated in the article “Strategies of a Small Nectarivorous Marsupial, the Western Pygmy-Possum, in Re- sponse to Seasonal Variation in Food Availability" (Journal of Mam- malogy, Vol. 96, No. 6, pp. 1525–1535) by D. Morrant and S. Petit. The weights of adult male pygmy-possums in Australia are normally distributed with a mean of 8.5 g and a standard deviation of 0.3 g. a. Sketch the normal curve for the pygmy-possum weights. b. Find the sampling distribution of the sample mean for samples of size 4. Draw a graph of the normal curve associated with ĩ. c. Repeat part (b) for samples of size 9.
A group conducted a study of the calorie content of different types of beer. The calorie content (calories per 100 ml) for 26 brands of light beer are summarized in the table below. 43 39 25 35 34 19 37 41 30 38 31 27 33 41 39 29 22 41 27 28 39 24 22 36 37 35 (a) Construct a stem-and-leaf display using stems 1, 2, 3, and 4. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Calorie Content 1 2 3 4 Stem: Tens Leaf: Ones (b) Describe the calorie content of light beers. (Select all that apply.) There are no gaps in the data. A typical calorie content is 40 calories per 100 ml. There is a large gap in the data. A typical calorie content is 33 calories per 100 ml. The distribution is negatively skewed, with one peak. The distribution is roughly symmetric. The distribution is positively skewed, with one peak.
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1. A hospital keeps a record of the number of males and females in different age groups who contract a particular disease. The data are summarized as follows: Age Groups: 10-25 26-40 41-55 56 + Male: 23, 34, 20, 64 Female: 31, 29, 55, 44 a) Are gender and age of contracting the disease independent of one another (a < .05)? b) A researcher believes that people in the 41-55 age group are three times as likely to develop the disease as are those in each of the two younger age groups, while those in the 56 + age group are only twice as likely (relative to those in the two youngest groups). The two youngest age groups are not expected to differ from each other. Do the data support these beliefs (a < .01)? c) It is also believed that, relative to males, the proportion of females in the 56 + age group that develops the disease is significantly different from the proportion of females in the 10-25 age group that develops the disease. Test this belief with a 5.05. Answers 1. a) x2 =…

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