0 0.6 A population with four age classes has a Leslie matrix L = 0 0 r 1 1 0 NOO sooo 2 0.7 0 0 5 0 0 . If the initial population vector is xo 0.4 0 10 10 10 10 compute x₁, x₂, and X3.
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- The Leslie matrix for an age-structured population is given by b 2 1 2 0 . Find its eigenvalues. (Enter your answers as a comma-separated list.) ? = 12b+12√b2+4, 12b−12√b2+4 Find its associated eigenvectors. (Enter your answers in order of the corresponding eigenvalues, from smallest eigenvalue to largest.)In which situation cointegration test can be performed? Write down its null hypothesis. Also, refer the given table and interpret the results. hypothesize no of CE(s) eigen value trace statistics 0.05 critical value prob. none 0.377516 39.59017 47.85613 0.2375 at most 1 0.264703 20.15466 29.79707 0.4124 at most 2 0.147492 7.547939 15.49471 0.5149 at most3 0.024225 1.005467 3.841466 0.616Then, what does the equation, d/dt Π = MΠ means? (where M is a 4x4 transition rate matrix)
- What is the Jacobian matrix J(xk) equal to?What are the difficulties in estimating the following model? Use as much detail as possible in answering this question while considering the Gauss-Markov assumptions and OLS estimator. Economic productivity = β0 + β1Unemployment + β2Innovation + θiControls + ei Where unemployment is the average unemployment rate of a country and innovation is an index of R&D performance.if only given a column vector function (2x1), f(B) = [e^(B1) - 1 ; e^(B2) - 1], then how do you find the asymptotic variance-covariance matrix estimator using the Delta method?
- A population with three age classes has a Leslie matrix L. If the initial population vector x0, compute x1, x2, and x3You are conducting a test of the claim that the row variable and the column variable are dependent in the following contingency table. X Y Z A 34 8 31 B 38 13 44 Give all answers rounded to 3 places after the decimal point, if necessary. (a) Enter the expected frequencies below: X Y Z A B To find the expected frequencies: Enter the observed matrix into the calculator, per the Technology Corner. Perform the test, per the Technology Corner. Return to the matrix menu and view the B matrix. This will be the expected frequencies. (b) What is the chi-square test-statistic for this data? Test Statistic: χ2= (c) What is the critical value for this test of independence when using a significance level of α = 0.10? Critical Value: χ2= (Enter 4.605 as the answer to this question.) (d) What is the correct conclusion of this hypothesis test at the 0.10 significance level? There is sufficient evidence to warrant rejection of the…A population with four age classes has a Leslie matrix L. If the initial population vector x0, compute x1, x2, and x3