Home range.hectares, of a carnivorous mammal weighing w gramscan be approximated byhas been shown that the home range,H(w) = 0.11w1-36(Source: Based on information in Emlen, J. M., Ecology:An Evolutionary Approach, p. 216, Reading, MA:Addison-Wesley, 1973; and Harestad, A. S., and Bunnel,F. L., "Home Range and Body Weight-A Reevaluation,"Ecology, Vol. 60, No. 2, pp. 405–418.)a) Find the average rate at which a carnivorous mammal'shome range increases as the animal's weight growsfrom 500 g to 700 g.Н 300) - н(200)b) FindWhat does this rate300 - 200represent?

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Answered: Home range. hectares, of a carnivorous…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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3] Provide an example of a qualitative variable. You may not use an example provided in th notes.
8. Trace metals in drinking water affect the flavor of the water, and un-usually high concentration can pose a health hazard. Table 1 shows trace-metal concentrations (zinc, in mg/L) for both surface water and bottom water at six different river locations. Our aim is to see if surface water concentration (x) is predictive of bottom water concentration (y). a. State the independent and dependent variable? b. State the Ho y HA c. Draw a scatter diagram to show a possible association between the concentrations and check to see if a linear model is justified. d. Calculate the correlation coefficient and provide your interpretation. e. Find the regression equation and pro your interpretation. Table 1 1123456 Location Bottom 0.430 0.266 0.567 0.531 0.707 0.716 Surface 0.415 0.238 0.390 0.410 0.605 0.609 I
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5. Oxygen demand is a term blologists use to describe the axygen needed by fish and other aquatic organisms for survval. The Environmental Protection Agency conducted a study of a wetland area in Marin County, Californla. In this wetland environment, the mean oxygen demand was u=9.9 mg/L, and a= 1.7 mg/L. (Reference: EPA Report 832-R- 93- 005). Let x be a random varlable that represents oxygen demand in this wetland environment. Assume x has a probability distribution that is approximately normal. a. An oxygen demand below 8 mg/L Indicates that some organisms In the wetland environment may be dying. What is the probability that the oxygen demand will fall below 8 mg/L? b. A high oxygen demand can also indicate trouble. An oxygen demand above 12 mg/L may indicate an overabundance of organisms that endanger some types of plant life. What is the probability that the oxygen demand will exceed 12 mg/L?
Please answer the following question using the images provided for data in the images. 1. Which of the following time periods will have the largest annual average increase in the percentage of jobs that could be fully automated (based on the provided images attached)? A) 2020-2028 B) 2028-2030 C) 2030-2035 D) 2035-2040 E) 2040-2050
Only 2.4
A 7. The analyst in the Dorben Company made 10 independent time studies in the hand paint- spraying section of the finishing department. The product line under study revealed a direct relation between spraying time and product surface area. The following data were collected. Study No. 1 2 3 4 5 6 8 9 10 Surface Area 170 12 150 41 130 50 70 105 95 (sq. inches) Standard Time (hours) 0.32 0.11 0.31 0.14 0.27 0.18 7 120 0.24 0.23 0.25 (7a) Compute the slope and intercept constant using regression line equations. (7b) What is the correlation coefficient? (7c) How much spray time would you allow for a new part with a surface area of 250 sq. inches? 0.22
THIS IS ENGINEERING DATA ANALYSIS 1. Given the following: c = 5, x1 = 7, x2 = 8, x3 = 10, x4 = 11, x5 =13, y1 = 5, y2 = 7, y3 = 9, y4 = 11, y5 = 13.Evaluate the following:
4.) A person's muscle mass is expected to decrease with age. To explore this relationship, a researcher randomly selected 10 persons from ages 40 to 79 years old and measured their muscle mass (unit). The result is as follows: X (age) Y (muscle mass) 71 64 43 67 56 73 68 56 76 65 82 91 100 68 87 73 78 80 65 84 Based on the given data, do the following: a) Plot the scatter diagram of the given data. [3pts] b) Obtain the regression line equation. [4pts] c) Estimate the muscle mass when age of the person is 60 years old. [3pts] 5.) Recognize how each shape has transformed. [2pts each] a.) b.) c.)
Question 4 A company that focuses on research and development (R&D) is interested in the relationship between profit and some variables that can explain profit variations. They want to predict the profits of some new and exciting projects because some are risky. The predictor variables considered are: RISK which is a company derived metric, R&D which is the research and development costs, REGION (WC, EC and KZN) and average per capita income (INCOME in R1000.00). The analyst decides to estimate the regression function with the following response function. (profit) = bo + b₁XRISK + b₂XR&D + b₂XWc + b₁XEC + b₂XINC Answer the following questions. 4.1. The analyst considered the fact that the effects of multicollinearity may influence some analytical and visual conclusions. Use the following results to show the process of establishing by using extra sums of squares whether there is that multicollinearity present or not. Explain and interpret in detail. SSR (X) = 2573.72, SSR(x₁) = 2600.7,…
The table lists the average gestation period (in days) and longevity (in years) for the following mammals, as reported in The World Almanac and Book of Facts 2006. Mammal Gestation, y(days) Longevity, x(years) Mammal Gestation, y(days) Longevity, x(years) Baboon 187 20 Camel 406 12 Bear, black 219 18 Cat 63 12 Bear, grizzly 225 25 Chimpanzee 230 20 Bear, polar 240 20 Chipmunk 31 6 Beaver 105 5 Cow 284 15 Buffalo 285 15 Deer 201 8 Dog 61 12 Monkey 164 15 Donkey 365 12 Moose 240 12 Elephant 645 40 Mouse 21 3 Elk 250 15 Opossum 13 1 Fox 52 7 Pig 112 10 Giraffe 457 10 Puma 90 12 Goat 151 8 Rabbit 31 5 Gorilla 258 20 Rhinoceros 450 15 Guinea pig 48 4 Sea lion 350 12 Hippopotamus 238 41 Sheep 154 12 Horse 330 20 Squirrel 44 10 Kangaroo…
Q1. A psychologist conducted a study on the relationship between introversion and shyness. The values are results for scales of introversion and shyness. High positive scores on each scale indicate high introversion or shyness; and high negative scores indicate low introversion or shyness. Data collected from 10 people as follows: Introversion 4 -7 -1 0 6 7 -4 -9 -5 8 Shyness 11 -7 -1 -3 0 7 -1 -8 -1 5 a) Compute the correlation coefficient relating introversion and shyness scores. b) Find the regression equation which predicts introversion from shyness. c) What introversion score would you predict from a shyness score of 7?

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