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Question 1 Let Y = 1 +2X + u where X = Zn4Z2, u = Z1-22, Z1 and Z2 are independent standard norma...
15. Suppose that the population model is y-βο + Ax + u Another way to deal...
15. Suppose that the population model is y-βο + Ax + u Another way to deal with endogeneity ofr s to employ the Two-stage Least Squared Estimator. In the first stage, we estimate x = π。+ π12+ u and obtain its prediction x and run the regression y = β° + Ax + u in the second stage. Which of the following is correct regarding therelationship between the 2SLS and IV estimators? (a) The 2SLS estimator is exactly the same...
Help please will give 5 stars and amazing feedback! STEPS BY STEPS Let Y53X, uiwhere X,...
Help please will give 5 stars
and amazing feedback! STEPS BY STEPS
Let Y53X, uiwhere X, ~N,1) and ui~ N(0, 1) are independent and 1, 1) and u ~ suppose that you have an i.id. sample of observations (X,,K),i-1,. . . , п. (c) Show that β〉, 3, where A is the standard OLS estimator from a regression 01% on X., including a constant Hint: You can use the tollowing result from the lecture without proof: Var(%)
Consider the following linear regression model 1. For any X = x, let Y = xB+U,...
Consider the following linear regression model 1. For any X = x, let Y = xB+U, where B erk. 2. X is exogenous. 3. The probability model is {f(u; ) is a distribution on R: Ef [U] = 0, VAR; [U] = 62,0 >0}. 4. Sampling model: {Y}}}=1 is an independent sample, sequentially generated using Y; = xiß +Ui, where the U; are IID(0,62). (i) Let K > 0 be a given number. We wish to estimate B using least-squares...
Exercise 4.11 Consider the regression model Y Po PX+u Suppose that you know Bo 1. Derive...
Exercise 4.11 Consider the regression model Y Po PX+u Suppose that you know Bo 1. Derive the formula for the least squares estimator of p The least squares objective function is OA. n (v2-bo-bx?) i-1 Ов. O B. n (M-bo-bX) /# 1 n Click to select your answer and then click Check Answer. Exercise 4.11 OA n Σ (--B,χ?) O B. E (Y-bo-b,X)2 j= 1 n Σ (Υ-Βo-bΧ) 3. j= 1 D. n Σ (Υ-0-b,) i- 1 Click to select...
7. Section 6.4, Exercise 1 Let X. X be a random sample from the U(0,0) distribution, and let , 2X...
7. Section 6.4, Exercise 1 Let X. X be a random sample from the U(0,0) distribution, and let , 2X and mx X, be estimators for 0. It is given that the mean and variance of oz are (a) Give an expression for the bias of cach of the two estimators. Are they unbiased? (b) Give an expression for the MSE of cach of the two estimators. (c) Com pute the MSE of each of the two ctrnators for n...
4. Suppose that Z є R2p has a MVN distribution Nop( 12. E.). Partition Z as Z where X є Rp and Y ...
4. Suppose that Z є R2p has a MVN distribution Nop( 12. E.). Partition Z as Z where X є Rp and Y є Rp. Denote the means of X and Y as μι and μy, respectively. Let μΔ-Ha-ty. Suppose that we obtain IID data Z1, ,Zn from the underlying distribution of Z. Let a (0,1) be a constant (a) Describe how to construct a (1-a)-level convex confidence region (CR) for μΔ when y, is known. Explain. (b) Describe how...
1. Suppose the true conditional mean function is but by mistake, a researcher ran least square...
1. Suppose the true conditional mean function is but by mistake, a researcher ran least square regression without the X term as in Assume cou (Xi , U) 0, E [Xn] O and E [x?-I . Is his/her estimate consistent for β,? If not, show which OLS assumption fails and discuss potential solutions. 2. Assume the structural equation is where E [u:|X0. It was discovered that we observe Xi with a measurement error wi instead of the real value X,...
please show all work clearly ECN 702 Econometrics II HW2 Due: Jan 29 1. Suppose the...
please show all work clearly
ECN 702 Econometrics II HW2 Due: Jan 29 1. Suppose the true conditional mean function is but by mistake, a researcher ran least square regression without the term as in Assume cov (Xi, U.) = 0, E (Xn] = 0 and 티x?]-1. Is hisher estimate consistent for β? If not, show which OLS assumption fails and discuss potential solutions. 2. Assume the structural equation is where E [ui|X] of the real value X 0. It...
I am looking for a solution for question number 2 ONLY with steps please, so I...
I am looking for a solution for question number 2 ONLY with steps
please, so I can find my mistake.
1. Suppose the true conditional mean function is but by mistake, a researcher ran least square regression without the X term as in Assume cov (Xi. Ui)s 0, E [Xn] = 0 and E [x?] = 1 . Is his/her estimate consistent for β? If not, show which OLS assumption fails and discuss potential solutions 2. Assume the structural equation...
Please provide your answer with a detailed description on how you came to that answer please!...
Please provide your answer with a detailed description on how you
came to that answer please!
ECN 702 Econometrics II HW2 Due: Jan 29 1. Suppose the true conditional mean function is but by mistake, a researcher ran least square regression without the x term as in Assume cov (X,, U,)s 0, E [Xn]-O and E [x?J-1. Is hisher estimate consistent for Anf not, show which OLS assumption fails and discuss potential solutions. 2. Assume the structural equation is where...
15. Suppose that the population model is y-βο + Ax + u Another way to deal with endogeneity ofr s to employ the Two-stage Least Squared Estimator. In the first stage, we estimate x = π。+ π12+ u and obtain its prediction x and run the regression y = β° + Ax + u in the second stage. Which of the following is correct regarding therelationship between the 2SLS and IV estimators? (a) The 2SLS estimator is exactly the same...
Help please will give 5 stars
and amazing feedback! STEPS BY STEPS
Let Y53X, uiwhere X, ~N,1) and ui~ N(0, 1) are independent and 1, 1) and u ~ suppose that you have an i.id. sample of observations (X,,K),i-1,. . . , п. (c) Show that β〉, 3, where A is the standard OLS estimator from a regression 01% on X., including a constant Hint: You can use the tollowing result from the lecture without proof: Var(%)
Consider the following linear regression model 1. For any X = x, let Y = xB+U, where B erk. 2. X is exogenous. 3. The probability model is {f(u; ) is a distribution on R: Ef [U] = 0, VAR; [U] = 62,0 >0}. 4. Sampling model: {Y}}}=1 is an independent sample, sequentially generated using Y; = xiß +Ui, where the U; are IID(0,62). (i) Let K > 0 be a given number. We wish to estimate B using least-squares...
Exercise 4.11 Consider the regression model Y Po PX+u Suppose that you know Bo 1. Derive the formula for the least squares estimator of p The least squares objective function is OA. n (v2-bo-bx?) i-1 Ов. O B. n (M-bo-bX) /# 1 n Click to select your answer and then click Check Answer. Exercise 4.11 OA n Σ (--B,χ?) O B. E (Y-bo-b,X)2 j= 1 n Σ (Υ-Βo-bΧ) 3. j= 1 D. n Σ (Υ-0-b,) i- 1 Click to select...
7. Section 6.4, Exercise 1 Let X. X be a random sample from the U(0,0) distribution, and let , 2X and mx X, be estimators for 0. It is given that the mean and variance of oz are (a) Give an expression for the bias of cach of the two estimators. Are they unbiased? (b) Give an expression for the MSE of cach of the two estimators. (c) Com pute the MSE of each of the two ctrnators for n...
4. Suppose that Z є R2p has a MVN distribution Nop( 12. E.). Partition Z as Z where X є Rp and Y є Rp. Denote the means of X and Y as μι and μy, respectively. Let μΔ-Ha-ty. Suppose that we obtain IID data Z1, ,Zn from the underlying distribution of Z. Let a (0,1) be a constant (a) Describe how to construct a (1-a)-level convex confidence region (CR) for μΔ when y, is known. Explain. (b) Describe how...
1. Suppose the true conditional mean function is but by mistake, a researcher ran least square regression without the X term as in Assume cou (Xi , U) 0, E [Xn] O and E [x?-I . Is his/her estimate consistent for β,? If not, show which OLS assumption fails and discuss potential solutions. 2. Assume the structural equation is where E [u:|X0. It was discovered that we observe Xi with a measurement error wi instead of the real value X,...
please show all work clearly
ECN 702 Econometrics II HW2 Due: Jan 29 1. Suppose the true conditional mean function is but by mistake, a researcher ran least square regression without the term as in Assume cov (Xi, U.) = 0, E (Xn] = 0 and 티x?]-1. Is hisher estimate consistent for β? If not, show which OLS assumption fails and discuss potential solutions. 2. Assume the structural equation is where E [ui|X] of the real value X 0. It...
I am looking for a solution for question number 2 ONLY with steps
please, so I can find my mistake.
1. Suppose the true conditional mean function is but by mistake, a researcher ran least square regression without the X term as in Assume cov (Xi. Ui)s 0, E [Xn] = 0 and E [x?] = 1 . Is his/her estimate consistent for β? If not, show which OLS assumption fails and discuss potential solutions 2. Assume the structural equation...
Please provide your answer with a detailed description on how you
came to that answer please!
ECN 702 Econometrics II HW2 Due: Jan 29 1. Suppose the true conditional mean function is but by mistake, a researcher ran least square regression without the x term as in Assume cov (X,, U,)s 0, E [Xn]-O and E [x?J-1. Is hisher estimate consistent for Anf not, show which OLS assumption fails and discuss potential solutions. 2. Assume the structural equation is where...
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