Find the Gini index for the given Lorenz curve. (Round your answer to three decimal places.) L(x) = x3.4
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- 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?Find the Gini index for the given Lorenz curve. (Round your answer to two decimal places.) L(x) = x2.3find the gini index for the given lorenz curve. Lx) = x^3.3 round answer to 3 decimal places please
- 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 beforeFind the value a>0 such that the tangent line to the graph of f(x) = x^2(e^-7x) at x = a passes through the origin.Find an equation of the tangent line to the graph of the function y = log3 x, at the given point (27, 3)
- 3.2 (Based on Question 3 in the picture attached) Using the first derivative method, the stability properties of E0, E1, and E2 , respectively, are as follows: A. None B. stable, unstable, stable C. stable, unstable, unstable D. unstable, stable, stableIf X has an exponential (λ) PDF, what is the PDF of W=X^2 ?Find a linearization at a suitably chosen integer near a at which the given function and its derivative are easy to evaluate. f(x)= e-x, a=0.11
- Find an equation of the tangent line to the graph of the function at the given point f(x) = e−x ln x, (1, 0)Consider a Lorenz curve given by f(x)=x^n for 0≤x≤1 and n≥1. What happens to the Gini index G.I as n→1, and what's the interpretation of that result?Find the linearization of the function k(x) = ln(x) when x= 1 and use it to estimate ln(1.1).