For Exercises 35-38, a graph of data is given. From visual inspection, which model would best fit the data? Choose from y = mx + b (linear) y = ab" (exponential) y = a + b ln x (logarithmic) y = 1+ ae (logistic) -hr 35. 36. 37. 38. y
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- An investigator modeled the log-odds of getting stomach cancer as a function of number of servings of vegetables per week and the number of servings of red mean per week using logistic regression. The odds that a person gets stomach cancer if they have 4 servings of red meat a week are 1.2 times the odds of cancer for someone who has 3 servings of red meat a week. suppose in the example, where the regression coefficient for servings of vegetables is -0.105, we have also obtained from the SAS output a Standard Error from the output of 0.097. Since our estimates are maximum likelihood estimates, we can assume that they follow a normal distribution. As such we can create confidence intervals for the regression coefficients using standard practices for estimates that have normal sampling distributions. Calculate a 95% confidence interval for the ODDS RATIO given above (odds ratio representing the change in odds of stomach cancer for a one-serving increase in vegetables. Give the…An investigator modeled the log-odds of getting stomach cancer as a function of number of servings of vegetables per week and the number of servings of red mean per week using logistic regression. The odds that a person gets stomach cancer if they have 4 servings of red meat a week are 1.2 times the odds of cancer for someone who has 3 servings of red meat a week. Suppose the fitted regression model is given as log-odds = -6 + 0.182 M – 0.105 V, where M = #servings of red meat per week and V = #servings of vegetables per week. What is the odds ratio representing the change in odds for an increase in one serving of vegetables? Give the answer to three decimal places.How is the slope coefficient interpreted in a log-linear model, where thedependent variable is (i) in logarithms but the independent variable is not, (ii)in a linear-log model, (iii) in a log-log model?
- In a city of half a million, there are initially 400 cases of a particularly virulent strain of flu. The Centers for Disease Control and Prevention in Atlanta claims that the cumulative number of infections of this flu strain will increase by 40% per week if there are no limiting factors. Make a logistic model of the potential cumulative number of cases of flu as a function of weeks from initial outbreak, and determine how long it will be before 100,000 people are infected. (Round your answer to two decimal places.)In a city of half a million, there are initially 800 cases of a particularly virulent strain of the flu. The Centers for Disease Control and Prevention in Atlanta claims that the cumulative number of infections of this flu strain will increase by 40% per week if there are no limiting factors. Make a logistice model of the potential cumulative number of cases of flu as a function of weeks from initial outbreak, and determine how long it will be before 100,000 people are infected. (Round your answer to two decimal places.)In a city of half a million, there are initially 800 cases of a particularly virulent strain of flu. The Centers for Disease Control and Prevention in Atlanta claims that the cumulative number of infections of this flu strain will increase by 40% per week if there are no limiting factors. Make a logistic model of the potential cumulative number of cases of flu as a function of weeks from initial outbreak, and determine how long it will be before 100,000 people are infected. (Round your answer to two decimal places.) ? weeks
- What is the logistic equation? Why is it useful?**Complete the table** 1) A sample of data is collected (from 1999 and 2000) concerning the compensation of the executives (compensation is measured in 1000’s of $’s) of a number of public companies along with other firm-specific data. The dependent variable is total compensation, CEOANN is a dummy variable =1 for an individual who is a CEO and =0 for individuals who are not CEO’s, EMPL is total employees, MKTVAL is the natural logarithm of the market value of the firm, EPSIN is earnings per share, YEAR is a dummy variable = 1 for the year 2000 and =0 for year 1999, and ASSETS is the natural logarithm of the total assets of the company. a) Complete the table belowAn investigator modeled the log-odds of getting stomach cancer as a function of number of servings of vegetables per week and the number of servings of red mean per week using logistic regression. The odds that a person gets stomach cancer if they have 4 servings of red meat a week are 1.2 times the odds of cancer for someone who has 3 servings of red meat a week. What is the odds ratio for stomach cancer for someone who has 5 servings as opposed to someone who has 3 servings? Enter your answer to 3 digits beyond the decimal point.
- Who is the inventor of the logistic function? 1.Ludwig Ogistic 2.The iranian physicist Piver Verfraco 3.The Belgian mathematician Pierre François Verhulst.Is the logistic equation separable?What happened to the standard error of educ after adding KWW to the model? Discuss. Do you agree or disagree with the following statement? “If the log of the dependent variable appears in the regression, changing the unit of measurement of any independent variable affects both the slope and intercept coefficients”. Discuss by providing the resource.