2 5. In this question you will compute certain derivatives used in training logistic regression. The notationis as used in Lecture 28.d(a) Show that o(2) = 0(2) (1 – 0(2))dzo%3D(b) Show that Vali(0, b) = - (y) –o (0*x0 +b)) x^).l:(0, b) = -y(i) +o(o™x® + b)(c) Show that

Given that ddzσz=σz1-σz ∇θliθ,b=-yi-σθTxi+bxi ∂∂bliθ,b=-yi+σθTxi+b

Answered: 5. In this question you will compute…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Similar questions

Determine the differential equation of the family of lines with its slope equal to the sum of its x and y intercepts.
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.
What is the differential equation of family of parabolas with vertex on the x – axis and axis parallel to the y – axis
Consider a time-varying population that follows the logistic population model. The population has a limiting population of 800, and at timet=0 , its population of 200 is growing at a rate of 60 per year. Given the differential equation, dp/dt= 60p(1-p/800), how long will it take for the population to achieve 95% of its maximum population?
In an effort to make the distribution of income more nearly equal, the government of a country passes a tax law that changes the Lorenz curve from y = 0.98x2.1for one year to y = 0.32x2 + 0.68x for the next year. Find the Gini coefficient of income for both years. (Round your answers to three decimal places.) after before
This activity is intended to help the student calculate the solution to an application problem where the differential equation used as a mathematical model is not linear. A student carrying an influenza virus returns to an isolated college campus with 1,000 students. Assuming that the rate at which the virus spreads is proportional not only to the number x of infected students, but also to the number of non-infected students, determine the number of infected students after 6 days if it is observed that after 4 days there are 50 infected students. Translated with www.DeepL.com/Translator (free version)
Find the differential equation of the family of straight lines with slope 11

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5. In this question you will compute certain derivatives used in training logistic regression. The notation is as used in Lecture 28. (a) Show that (2) = 0(2) (1 – o(2)) (b) Show that Vel;(0, b) = – (y) – - (1) - (0"x0 + b)) x9. + 6))x"). o (e'x)