(10 point) Fungsi massa probabilitas gabungan dari X dan Y, p(x, y), seperti pada data berikut ini: p(1, 1) = p(2,1) = ½, p(3, 1) = ½, p(1,2) = p(2,2) = 0, p(3,2) = 1, p(1, 3) = 0, p(2,3) = ½, p(3, 3) = Hitung E[XY = i] untuk setiap i = 1, 2, 3
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The joint
Calculate E[X|Y = i] for each i = 1, 2, 3
![(10 point) Fungsi massa probabilitas gabungan dari X dan Y, p(x, y), seperti pada data
berikut ini:
p(1, 1) =
p(2,1) = ½,
p(3, 1) = ½,
p(1,2) =
p(2,2) = 0,
p(3,2) = 1,
p(1, 3) = 0,
p(2,3) = ½,
p(3, 3) =
Hitung E[XY = i] untuk setiap i = 1, 2, 3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65022f17-4dec-450f-a74b-0086b301206a%2F97586120-65dc-40f9-a86c-b4173cdc09c3%2F4dkfriq_processed.jpeg&w=3840&q=75)
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- Consider a set of data (x;, y;), i = 1,2, .,n and an intercept model given by: 1. Yi = Bo + Ei with E(s;) = 0, Var(ɛ;) = o? and all ɛ,'s are independent and normally distributed. Derive the standard error of the point estimator Bo.Suppose that we have two independent data sets from the same process. One was collected in the past and another was collected recently. The observations are: {(r;; Yi), i = 1, n1} and {(r;, Yi), i = n1 + 1, .. , n1 + n2}. The two models are postulated to be 2. Yi ao + a1x; + Ei, i = 1, . . , n1, %3D = Bo + B1x; + Ei; i = n1 +1,,n, where n = nị + n2. a) Express these separate models as a single model in matrix form. b) Find A and c for testing Ho : a1 =Imagine you would like to estimate the effect of the amount of rainfall in a given month in a region on the number of cars that were caught speeding in that region in a given month. You have data on both variables for multiple months. For this estimation, you can write down the error term of the econometric model as . a) What kind of factors are captured in ? Give a general explanation and one example of such a factor in the specific context described above. b) What kind of factors are captured in ? Give a general explanation and one example of such a factor in the specific context described above.
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