4. A real estate agent has the data on the housing prices (X₁, in millions of pesos), thenumber of bedrooms in the house (X₂), and the size of the house (X3, in thousands ofsquare feet) of the 88 properties he sold. Suppose that X~N3(µ,Σ), and the mean[1.5]vector and covariance matrix are μ =[1.3 2.1 4.01and Σ = |2.1 5.0 2.3, respectively.L4.0 2.3 2.0]12.4Suppose that he is interested in 0.002X₂ + 0.123X3, determine the distribution of thislinear combination.

Answered: Image /qna-images/answer/584d0a2c-3cf3-434f-a58e-1729461141aa.jpg

Answered: 4. A real estate agent has the data on…

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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15) The intercept is 0, the autoregressive coefficient is 0.2 and the moving average coefficient is 0.5 in an ARIMA(1,1,1) model. What is the one-step ahead forecast if the shock for the current period is -2 and the current and one-period lagged values of the forecast variable are 110 and 105?
If the RVSX1, X2,..., X, all have n .2 the same variance s and he correlation oxil ficient between each pair (X;, X;), i # jof them is p, show that the correlation coefficient 2n between -1 X; and Li=n+1 X; is %3D1 пр 1+(n-1)p
Table 1 gives data on GDP (Y - in billions), foreign direct investment (X₂ - in billions), and corruption index (X3) 31. Y 45 50 54 58 63 69 74 78 X₂ 75 78 83 86 90 93 98 100 X3 15 12 9 6 3 -2 -5 -8 What is the value of Σx and Σx3, given that x₁ = X; - X? A. 579 and 475 B. 959 and 737 C. 675.2500 and -518.2500 D. - 567.1456and 255.3750
3) A light fixture contains five lightbulbs. The lifetime of each bulb is exponentially distributed with mean 200 hours. Whenever a bulb burns out, it is replaced. Let T be the time of the first bulb replacement. Let Xi, i = 1, . . . , 5, be the lifetimes of the five bulbs. Assume the lifetimes of the bulbs are independent.
llustration 19.18.. A sample study of the population of two districts gives that in district A the percentage of male population is 52% while this is the figure for the female percentage in the B district. If the size of the sample selected was in district A and B as 400 and 625 respectively, can both of these samples be taken to come from a population where the percentage of males and females is equal?
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.
2.3. Let X₁, X₂, ..., Xn denote a random sample with size n from an exponential density with mean 0₁. Find the MLE for 0₁. -A Refer back to Question 2.3. Let X₁, X2, ..., Xn denote a random sample with size n from the exponential density with mean 0₁, and Y₁, Y₂, ..., Yn denote a random sample with size m from the exponential density with mean 1. Find the likelihood ratio test for testing Ho: 0₁ = 1 against Ha: 0₁ # 1.
22. Given a random sample {(x₁, y₁), (x₂, y2), (xn. Yn)} such that Sxx = 107 and Syy = 54.75. If the regres line that relates the variables X and Y has a slope of 0.257, find the linear correlation coefficient r. A 0.069 B 0.359 C 0.083 D 0.453
1. Suppose that for a stochastic variable X~B(n;p) with the parameters n =10 and p = 30% a) BY HAND (PICTURE MUST BE UPLOADED): Calculate the mean and the standard deviation b) Use IT to determine P(X = 4).
Please solve in 20 minutes
Consider two assets with returns: rị = 3 (:) r2 = in two states. If the 1 has a return (:) portfolio z = find the value of a.
We have a large dataset which we denote by D1, with values x1, x2, x3, ..., xN. Its mean is denoted by m. We create a new dataset D2 as follows: x1-m, x2-m, x3-m, ..., xN-m (that is, we subtract the mean from every data point). Then we create a new dataset by dividing every value in D2 by number 5. (so note that we said D2, not D1). What is the mean of D3? Group of answer choices 5 m m/5 m/ 25

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