In Example 1 we used Lotka-Volterra equations to model populations of rabbits and wolves. Let's modify those equations as follows: dR 0.09R(1 – 0.0001R) s 0.003RW dt dW 0.01W +0.00001RW dt Find all of the equilibrium solutions Enter your answer as a list of ordered pairs (R, W), where Ris the number of rabbits and W the number of wolves. For example, if you found three equilibrium solutions, one with 100 rabbits and 10 wolves, one with 200 rabbits and 20 woves, and one with 300 rabbits and 30 wolves, you would enter (100, 10), (200, 20), (300, 30). Do not round tractional answers to the nearest integer. Answer (0,0).10000.0(2000,306)

total commercial flight times between two cities (for jets) can be modeled by the following linear equation: time =rate (miles) + fixed where time is in hours and miles is the distance between the two cities. the fixed time in hours represents the time for the takeoff and landing phases of the flight. this fixed time is relatively constant for flights under normal conditions. given a 3-hour flight of 1,250 miles and a 4.5-hour flight of 2,100 miles, determine the rate (to 5 dec. places) and fixed time (to whole minute) for this linear model.   rate =  ________hours/mile.        takeoff/landing time=_______min.

A sociologist examines the relationship between the poverty rate and several socioeconomic factors. For the 50 states and the District of Columbia (n = 51), he collects data on the poverty rate (y, in %), the percent of the population with at least a high school education (x1), median income (x2, in $1000s), and the mortality rate per 1,000 residents (x3). He estimates the following model as y= Bo + ß1 Education + Bß2 Income + B3 Mortality + ɛ. The following ANOVA table shows a portion of the regression results. df MS F Regression 416.2 138.73 95.7 Residual 47 68.1 1.45 Total 50 484.3 Coefficients Standard Error t-stat р-value Intercept 57.8 4.3 13.44 1.65E-16 Education -0.3 0.05 -6 5.45E-10 Income -0.2 0.01 -20 6.02E-10 Morality 0.12 0.27 0.44 0.6438 Which of the following is the value of the standard error of the estimate? Multiple Choice 1.2 138.73

The population of an endangered species of rhinos in 2002 was estimated to be 192,699 rhinos. By 2010, the number of rhinos had grown to 237,900. (a) Assuming the population grows linearly, find the linear model, y = mx +b, representing the population 2 years since 2010. y = Number x+ Number (round m and b to 3 decimal places) (b) Using the linear model from part (a), estimate the population in 2028. Number (round to the nearest whole number)

A certain puppy when born weighs 8 pounds, and its weight increases linearly by 0.45 pounds per day for the first week. Construct a model for the puppy’s weight during the first week using the variables W for weight and d for days.

Example 1. (Estimating Body Surface Area) Appropriate does of medicine for both animals and humans are often based on body surface area (BSA). Since weight is much easier to determine than BSA, veterinarians use the weight of an animal to estimate BSA. The following linear equation expresses BSA for canines in terms of weight: a = 16.12w + 375.6 where a is BSA in square inches and w is weight in pounds. a. Interpret the slope of the BSA equation. b. What is the effect of a one-pound increases in weight?

- Find the linear equation that satisfies the following: f(3) = 10 and f(5) = 24 %3D TI

The number of rushing yards per year by a running back af a team has increased approximately linearly from 1840 in 2003 to 24 yards in 2008. Let r be a players number of rushing yards in the year that is t years since 2000. find an equation of the linear model to describe the data?

Civil engineers often use the straight-line equation, y = bo+b ₁x, to model the relationship between the shear strength y of masonry joints and precompression stress, x. To test this theory, a series of stress tests were performed on solid bricks arranged in triplets and joined with mortar. The precompression stress was varied for each triplet and the ultimate shear load just before failure (called the shear strength) was recorded. The stress results for n = 7 resulted in a Coefficient of Determination of 0.7589. Given that r 2_ 0.7589, give a practical interpretation of r2, the coefficient of determination for the least squares model. In repeated sampling, approximately 75.89% of all similarly constructed regression lines will accurately predict shear strength. We expect about 75.89% of the observed shear strength values to lie on the least squares line. We expect to predict the shear strength of a triplet test to within about 0.7589 tons of its true value. About 75.89% of the total…

A measurement system can be modeled by the equation: 0.5y + y = F(t) Initially, the output signal is steady at 75 volts. The input signal is then suddenly increased to 100 volts. A. Determine the response equation. B. On the same graph, plot the input signal and the system time response through steady response.