Consider the plot of the total number E of Ebola cases in West Africa reported to the Centers for Disease Control and Prevention from April 1, 2014, through December 1, 2015.D+|+|||||||||||||||| ►Ebola Cases in West AfricaE =A logistic fit for these data is given by27,841.421 + 134.65-0.646where t is the time in months since April 1, 2014. Below, we have added the graph of this model.+-+|||||||||||||||||| ►Logistic Graph Added(a) Does the first plot, "Ebola Cases in West Africa," show a continuing epidemic or a health crisis that is under control by December 2015?Because the data points appear to be [leveling off✔✔✔, they show a health crisis that is under control(b) According to the model, what was the total number of cases when the disease was spreading at the fastest rate? Round your answer to the nearest whole number.27021.61x cases(c) Use the crossing-graphs method to determine when the disease was growing at the fastest rate. Round your answer, in months after April 1, 2014, to one decimal place.24527x months

From the given information.Observe the given graphs.The logistic fit for the given data is as…

Answered: Consider the plot of the total number E…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Q8. Are rent rates influenced by the student population in a college town? Let rent be the average monthly rent paid on rental units in a college town in the United States. Let pop denote the total city population, avginc the average city income, and pctstu the student population as a percentage of the total population. One model to test for a relationship is log(rent) = 0.03048 + 0.5 * log(pop) +0.673 log(avginc) + 0.0046 pctstu (.844) (.039) (.081) (.0028) i) State the null hypothesis that the percentage of students relative to the population has no ceteris paribus effect on monthly rents. State the alternative that there is an effect. What signs do you expect for B₁ and ₂ ? The equation estimated for 64 college towns is log(rent) = 0.03048 + 0.5 * log(pop) + 0.673 log(avginc) + 0.0045 pctstu (.844) (.039) (.081) (.0017) Standard errors are given in the parentheses. test the null hypothesis H_0 that "10% ceteris paribus increase in population is associated with about a 6.6% increase…
This shows log GDP per capita for the UK. Which of the following statements are correct? Select one or more: a. The graph shows that in 1950 UK GDP per capita was about £8.75. b. The trend growth rate over the period was 0.9889% per annum. c. When actual output is below trend output the economy is in recession. d. The trend growth rate over the period was 2.14 % per annum.
A. Find a logarithmic function that models the data, with x equal to the number of years after 1995. B. Use the model to predict the percent of users in 2015. C. Will this model always be valid? Explain.
The Environmental Protection Agency is concerned with the problem of setting criteria for the amounts of certain toxic chemicals to be allowed in freshwater lakes and rivers. A common measure of toxicity for any pollutant is the concentration of the pollutant that will kill half of the test species in a given amount of time (usually 96 hours for fish species). This measure is called LC50 (lethal concentration killing 50% of the test species). In many studies, the values contained in the natural logarithm of LC50 measurements are normally distributed, and, hence, the analysis is based on In(LC50) data. Suppose that n = 30 observations are to be taken on In(LC50) measurements and that o 0² = 1.7. Let S² denote the sample variance of the 30 measurements. (a) Find a number b such that P(S² ≤ b) = 0.975. (Round your answer to three decimal places.) b = (b) Find a number a such that P(a ≤ S²) = 0.975. (Round your answer to three decimal places.) a = (c) If a and b are as in parts (a) and…
The following model studies the effect that a chemical spill disaster had on nearby housing values. They used data from a sample of houses sold in 1980, before chemical spill disaster happened, and a separate sample of houses sold in 1985, after chemical spill had occurred. where the variables used in the analysis are: log(price) is natural log of selling price in $ y85 is a dummy variable equal to 1 if a house was sold in 1985, 0 otherwise far is a dummy variable equal to 1 if a house was far from the affected area, 0 otherwise If the chemical spill reduces the value of houses closer to the affected area, which of the following statement is correct? Select one: O a. a₁ is expected to be positive O b. O c. O d. log(price) = a + Boy85 + a₁ far + B₁y85 * far + u a₁ is expected to be negative B₁ is expected to be positive B₁ is expected to be negative
An experiment involves dropping a ball and recording the distance it falls (y) for different times (x) after it was released. Construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given data, and consider only linear, quadratic, logarithmic, exponential, and power models. Time (seconds) Distance (meters) 0.5 1 1.2 4.8 1.5 10.7 2 18.5 2.5 3 28 38.9 Choose the correct scatterplot below. OA. B. Q 50- 50- 40- ° 40-0 a 30- 20- 20- 10- 0- 2 G 10- 0- 0 1 2 C. O D. Q 50- 40- 30- 20- 10- о 0 1 2 3 Q 50- 40- Q 30- 20- ° G 10- ° ° 0- 0 1 2 What is the equation of the best model? Select the correct choice below and fill in the answer boxes to complete your choice. Enter only nonzero values. (Type integers or decimals rounded to three decimal places as needed.) OA. y= OB. y= + Inx OC. y= OD. y= OE. y= x + x+ о
Define the three logarithmic regression models? Explain how Logarithms and percentages are inter linked?

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