Consider an isolated population of 1871 people. Note: Weassume this number is fixed and that there are no births oranyone moving into or out of the population.Suppose there are 281 people initially infected with somenew disease and the assumptions of the standard SIR modelapply to this population and disease. Suppose thetransmission rate is r=1.0E-5 and the recovery rate isa = 0.07;What is Ro, the "basic reproductive rate", for this disease?(round to two decimal places):Based on the standard SIR model and the given initialconditions, what is the maximum number of people thatwill be infected by the disease?(round to the nearest whole number):

We are given a scenario involving an isolated population of 1,871 people, with 281 initially…

Answered: Consider an isolated population of 1871…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?
Otitis media is a disease that occurs frequently in the firstfew years of life and is one of the most common reasonsfor physician visits after the routine checkup. A study wasconducted to assess the frequency of otitis media in thegeneral population in the first year of life. Table 4.15 givesthe number of infants of 2500 infants who were first seen atbirth who remained disease-free by the end of the ith monthof life, i = 0, 1, . . . , 12. (Assume no infants have been lostto follow-up.) Disease-free infants ati the end of month i0 25001 24252 23753 23004 21805 20006 18757 17008 15009 130010 125011 122512 1200 Suppose an “otitis-prone family” is defined asone in which at least three siblings of five develop otitis media in the first 6 months of life. What proportionof five-sibling families is otitis prone if we assume thedisease occurs independently for different siblings in afamily?
Strands of human hair absorb elements from the bloodstream and provide a historical record of both health and the use or nonuse of chemical substances. Hair grows at the rate of about one – half inch per month, and a person with long hair might be accused or absolved on the basis of a segment of hair that sprouted many months or years ago. By separately analyzing sections of the hair strand, scientists can even approximate the periods of time during which drug use was heavy, moderate, light or altogether absent. If a transit employee provides a strand of hair for drug testing, state the null and alternative hypothesis in verbal terms, then identify what would constitute a Type I error and Type II error in this situation.
Suppose that we take a data set, divide it into equally-sized training and test sets, and then try out two different classification procedures. First we use logistic regression and get an error rate of 20% on the training data and 30% on the test data. Next we use 1-nearest neighbors (i.e. K = 1) and get an average error rate (averaged over both test and training data sets) of 18%. Based on these results, which method should we prefer to use for classification of new observations? Why?
Consider the following estimated regression model relating annual salary to years of education and work experience. Estimated Salary=10,737.30+2872.43(Education)+1129.1(Experience)Estimated Salary=10,737.30+2872.43(Education)+1129.1(Experience) Suppose an employee with 44 years of education has been with the company for 1111 years (note that education years are the number of years after 8th8th grade). According to this model, what is his estimated annual salary?
3
"Space Mountain", a classic attraction at Disneyland Park, attracts many tourists to take a ride. Each ride can take tourist at a rate of 5 persons/min. The park is opened at 9:00 AM. Based on daily observations, it is found that the tourist arrival rate is 8 persons/min during 9:00 AM - 12:00 PM, 5 persons/min during 12:00 PM - 3:00 PM and 2 persons/min after 3:00 PM. Apply a D/D/1 queuing model to calculate what is the maximum number of tourists waiting in the queue? (Round to the nearest integer and fill in the blank with a number only.) Tourist # 180 D/D/1 360 Time (min) A
Consider the following estimated regression model relating annual salary to years of education and work experience. Estimated Salary=10,815.11+2563.46(Education)+897.49(Experience)Estimated Salary=10,815.11+2563.46(Education)+897.49(Experience) Suppose two employees at the company have been working there for five years. One has a bachelor's degree (88 years of education) and one has a master's degree (1010 years of education). How much more money would we expect the employee with a master's degree to make?
Ankylosing spondylitis is an inflammatory disease which affects the spine and sacroiliac joint and can lead to the fusing of vertebrae in the spine. Exercise is important in helping manage pain, therefore a pharmaceutical company wanted to test if their new biologic would increase the time a patient could exercise before experiencing discomfort. The following table gives the time (in minutes) seven patients were able to exercise before reporting pain, both at baseline and then again after six months of taking the biologic.Exercise Time (in minutes)Subject 1 Baseline 30 Post-treatment 40Subject 245 40Subject 350 60Subject 435 37Subject 555 60Subject 620 25Subject 775 75Assume the population(s) of all exercise times is (are) normally distributed. Use JMP to test whether the evidence suggests that the time a person with ankylosing spondylitis can exercise before experiencing discomfort increases after taking this new biologic. Validate the test statistic from JMP by computing it manually.…
Suppose that a least squares regression line equation is ˆy = 1.65 − 2.20x and the actual y value corresponding to x = 10 is −19, what is the residual value corresponding to y = −19?
Environmental conditions can affect the growth of coral. To study this, a researcher examined a species of coral that is found in the Caribbean Sea and the Gulf of Mexico. At 12 localities, he determined the average annual calcification rate of coral over a period of several years and the average annual maximum sea surface temperature during the same period. Calcification rate affects the growth of coral, with higher rates corresponding to greater growth. The table contains data for these 12 localities. Maximum sea surface temperature (°C) and calcification rate (g cm² yr¯¹) Maximum Sea Surface Temperature 29.4 29.4 29.4 29.6 29.1 28.7 Calcification Rate 1.48 1.53 1.52 1.48 1.31 1.25 Maximum Sea Surface Temperature 29.7 29.5 29.4 29.0 29.0 29.0 Calcification Rate 1.63 1.53 1.46 1.24 1.29 1.12 To access the complete data set, click the link for your preferred software format: Excel Minitab JMP SPSS TI R Mac-TXT PC-TXT CSV CrunchIt! The residuals for average annual maximum sea surface…
The relationship between United States unemployment and inflation rates during the Covid-19 pandemic. Background The covid-19 pandemic has led to higher unemployment rates in the United States than normal because many people were laid off jobs in response to the pandemic (Al-Fadly, 2020). It is important to analyze how such as sharp increase in unemployment affected inflation in relation to how unemployment have traditionally affected inflation. The overall relationship between unemployment and inflation has traditionally been an inverse one. It is argued that when unemployment rates are higher, the number of individuals who are looking for jobs usually becomes higher than the number of job positions that are available (Putnam & Azzarello, 2015). In such a situation, employers tend to pay lower wages because there is abundance of workers which naturally leads to a lower wage inflation. This study will examine the relationship between unemployment rates and inflation rate during…

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