2 Question FourSuppose we have estimated the following logit model with 3 explanatory variables using maximumlikelihood.1Pi =1+e-(0.1+0.3X21-0.6X3;+0.9x41)Suppose also that &, = 1.6 x3 = 0.2 £4 = 0.1a) Find the estimate of F(z;)b) Find the Marginal effectsc) Give an interpretation of your results in (b)

In this question, we are given a logit model with three explanatory variables: x2, x3, and x4. We…

Answered: Question Four Suppose we have estimated…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 69E

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Similar questions

Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?
What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?
Table 4.18 shows estimated effects for a fitted logistic regression model with squamous cell esophageal cancer (1 = yes, 0 = no) as the response variable Y. Smoking status (S) equals 1 for at least one pack per day and 0 other- wise, alcohol consumption (A) equals the average number of alcoholic drinks consumed per day, and race (R) equals 1 for blacks and 0 for whites. A. To describe the race-by-smoking interaction, construct the prediction equation when R = 1 and again when R = 0. Find the fitted YS conditional odds ratio for each case. Similarly, construct the prediction equation when S = 1 and again when S = 0. Find the fitted YR conditional odds ratio for each case. Note that, for each association, the coefficient of the cross-product term is the difference between the log odds ratios at the two fixed levels for the other variable. B. In Table 4.18, explain what the coefficients of R and S represent, for the coding as given above. What hypotheses do the P -values refer to for…
The logistic model can also be changed by incorporating a constant continuous rate of decrease, such as due to hunting: dP/dt=kP(1-P/A)-H where H members of the population are removed per year (over the course of the year). Suppose a population of fish obeys the logistic differential equation with k = 0.08 and carrying capacity A = 1000. (a) Suppose c = 15 fish are caught by fishers per year. Draw a slope field for the resulting differential equation, and identify the equilibrium solutions (where y′ = 0). (b) Suppose instead c = 25 fish are removed each year. Draw the resulting slope field. What effect does this have on the fish population overall? (c) Find the maximum annual amount of hunting c > 0 that allows the population of fish to survive. Graph the slope field for this differential equation. (d) If you worked for the forest service, make a recommendation for how much fishing to allow per year to ensure sustainable fishing.

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