The correct answer is A Please explain
Homework Answers
According to Gauss-Markov theorem
OLS estiamtes are BLUE- best linear unbiased estimator
so OLS estimates are unbiased
proof of consistency of OLS
hence option A) is incorrect
option B) is correct
option C) is correct by definition
option D) is correct
Add Answer to:
The correct answer is A Please explain
Which of the following statements is incorrect about the...
What is the intuition behind the answer? Imagine that we run the regression y; = Bo+B1xe and recover the OLS estimates...
What is the intuition behind the answer?
Imagine that we run the regression y; = Bo+B1xe and recover the OLS estimates of Bo and B1. If our regressions assumptions hold for the above specification. What is the relationship with the coefficients of the reverse regression x = ao + a1Yi + u;: (a) ao a CORRECT) - (b) @о — — Во = (с) dо — Во &1=-B1 (d) do — Во
Imagine that we run the regression y; =...
QUESTION 1 Consider the following OLS regression line (or sample regression function): wage =-2.10+ 0.50 educ...
QUESTION 1 Consider the following OLS regression line (or sample regression function): wage =-2.10+ 0.50 educ (1), where wage is hourly wage, measured in dollars, and educ years of formal education. According to (1), a person with no education has a predicted hourly wage of [wagehat] dollars. (NOTE: Write your answer in number format, with 2 decimal places of precision level; do not write your answer as a fraction. Add a leading minus sign symbol, a leading zero and trailing...
3. In the multiple regression model shown in the previous question, which one of the following st...
3. In the multiple regression model shown in the previous question, which one of the following statements is incorrect: (b) The sum of squared residuals is the square of the length of the vector ü (c) The residual vector is orthogonal to each of the columns of X (d) The square of the length of y is equal to the square of the length of y plus the square of the length of û by the Pythagoras theorem In all...
Question 2: Indicate whether each of the following statements is true or false and explain concisely...
Question 2: Indicate whether each of the following statements is true or false and explain concisely why. 1. The Frisch-Waugh-Lovell theorem states that in a multiple linear re- gression Y = Bo + B1X1 + B2X2 + B3X3 + X4 +U, the estimate B1 we get for B1 is what we would have obtained by regressing Y on the part of Xị that has nothing to do with X2, X3, X4, and U. 2 2. In a OLS output ý=.5+1.2log(0),...
Question 2: Indicate whether each of the following statements is true or false and explain concisely...
Question 2: Indicate whether each of the following statements is true or false and explain concisely why. 1. The Frisch-Waugh-Lovell theorem states that in a multiple linear re- gression Y = Bo + B1X1 + B2X2 +B3X3 +34X. +U, the estimate 31 we get for B1 is what we would have obtained by regressing Y on the part of Xị that has nothing to do with X2, X3, X4, and U. 2 2. In a OLS output ý=.5+1.2log(2), the slope...
2. Consider the following model: y = XB + u where y is a (nx1) vector...
2. Consider the following model: y = XB + u where y is a (nx1) vector containing observations on the dependent variable, B = Bi , B X is a (n x 3) matrix. The first column of X is a column of ones whilst the second and third columns contain observations on two explanatory variables (x and x2 respectively). u is (n x 1) vector of error terms. The following are obtained: 1234.7181 1682.376 7345.581 192.0 259.6 1153.1) X'X...
Which of the following statements is true? (a) If the calculated value of F statistic is...
Which of the following statements is true? (a) If the calculated value of F statistic is higher than the critical value, we reject the alternative hypothesis in favor of the null hypothesis. (b) The F statistic is always nonnegative as SSR, is never smaller than SSRur. (C) Degrees of freedom of a restricted model is always less than the de- grees of freedom of an unre- stricted model. (d) The F statistic is more flexible than the t statistic to...
1.7. Consider a multiple regression model: y Ao + β1x1 + β, x2 +11. Which of...
1.7. Consider a multiple regression model: y Ao + β1x1 + β, x2 +11. Which of the following is the correct way to find the OLS estimate B using the "partialling out" technique? (a) Run y-%+71x1+1. and obtain r. Then run 3: α° + ait e, al will be equal to y-a0 + α|r + e. ai will be equal to β . run y-a, +ar+e.ử, will be equal to B run y-a, +ar+e.ử, will be equal to β b)...
PLEASE ANSWER ALL THE POINTS AND WRITE CLEARLY AND EXPLAIN THANK YOUU!! 1. Consider the following...
PLEASE ANSWER ALL THE POINTS AND WRITE CLEARLY AND EXPLAIN THANK
YOUU!!
1. Consider the following linear regression model: (a) which assumptions are needed to Inake the A i unbiased estimators for the ßi? (b) Explain how one can test the hypothesis that +A-0 by means of a t-test. We were unable to transcribe this image(d) Suppose that r is an irrelevant explanatory variable in the population model and that you estimate the model including both r1 and r2. What...
1. Answer to following with "True" or "False". Explain your answers briefly. (if false, explain what...
1. Answer to following with "True" or "False". Explain your answers briefly. (if false, explain what happen instead also) (a) Suppose that we observe a random variable Y that depend on another observed value x, through the relationYo+By+ewhere Bo,ßı and x are (b) We can reduce a by pushing the critical regions further into the tails of the (c) Decrease in the probability of the type II error always results in an increase in constants ande N(0,1). Then Y N(O,(Po+Bix)-)...
What is the intuition behind the answer?
Imagine that we run the regression y; = Bo+B1xe and recover the OLS estimates of Bo and B1. If our regressions assumptions hold for the above specification. What is the relationship with the coefficients of the reverse regression x = ao + a1Yi + u;: (a) ao a CORRECT) - (b) @о — — Во = (с) dо — Во &1=-B1 (d) do — Во
Imagine that we run the regression y; =...
QUESTION 1 Consider the following OLS regression line (or sample regression function): wage =-2.10+ 0.50 educ (1), where wage is hourly wage, measured in dollars, and educ years of formal education. According to (1), a person with no education has a predicted hourly wage of [wagehat] dollars. (NOTE: Write your answer in number format, with 2 decimal places of precision level; do not write your answer as a fraction. Add a leading minus sign symbol, a leading zero and trailing...
3. In the multiple regression model shown in the previous question, which one of the following statements is incorrect: (b) The sum of squared residuals is the square of the length of the vector ü (c) The residual vector is orthogonal to each of the columns of X (d) The square of the length of y is equal to the square of the length of y plus the square of the length of û by the Pythagoras theorem In all...
Question 2: Indicate whether each of the following statements is true or false and explain concisely why. 1. The Frisch-Waugh-Lovell theorem states that in a multiple linear re- gression Y = Bo + B1X1 + B2X2 + B3X3 + X4 +U, the estimate B1 we get for B1 is what we would have obtained by regressing Y on the part of Xị that has nothing to do with X2, X3, X4, and U. 2 2. In a OLS output ý=.5+1.2log(0),...
Question 2: Indicate whether each of the following statements is true or false and explain concisely why. 1. The Frisch-Waugh-Lovell theorem states that in a multiple linear re- gression Y = Bo + B1X1 + B2X2 +B3X3 +34X. +U, the estimate 31 we get for B1 is what we would have obtained by regressing Y on the part of Xị that has nothing to do with X2, X3, X4, and U. 2 2. In a OLS output ý=.5+1.2log(2), the slope...
2. Consider the following model: y = XB + u where y is a (nx1) vector containing observations on the dependent variable, B = Bi , B X is a (n x 3) matrix. The first column of X is a column of ones whilst the second and third columns contain observations on two explanatory variables (x and x2 respectively). u is (n x 1) vector of error terms. The following are obtained: 1234.7181 1682.376 7345.581 192.0 259.6 1153.1) X'X...
Which of the following statements is true? (a) If the calculated value of F statistic is higher than the critical value, we reject the alternative hypothesis in favor of the null hypothesis. (b) The F statistic is always nonnegative as SSR, is never smaller than SSRur. (C) Degrees of freedom of a restricted model is always less than the de- grees of freedom of an unre- stricted model. (d) The F statistic is more flexible than the t statistic to...
1.7. Consider a multiple regression model: y Ao + β1x1 + β, x2 +11. Which of the following is the correct way to find the OLS estimate B using the "partialling out" technique? (a) Run y-%+71x1+1. and obtain r. Then run 3: α° + ait e, al will be equal to y-a0 + α|r + e. ai will be equal to β . run y-a, +ar+e.ử, will be equal to B run y-a, +ar+e.ử, will be equal to β b)...
PLEASE ANSWER ALL THE POINTS AND WRITE CLEARLY AND EXPLAIN THANK
YOUU!!
1. Consider the following linear regression model: (a) which assumptions are needed to Inake the A i unbiased estimators for the ßi? (b) Explain how one can test the hypothesis that +A-0 by means of a t-test. We were unable to transcribe this image(d) Suppose that r is an irrelevant explanatory variable in the population model and that you estimate the model including both r1 and r2. What...
1. Answer to following with "True" or "False". Explain your answers briefly. (if false, explain what happen instead also) (a) Suppose that we observe a random variable Y that depend on another observed value x, through the relationYo+By+ewhere Bo,ßı and x are (b) We can reduce a by pushing the critical regions further into the tails of the (c) Decrease in the probability of the type II error always results in an increase in constants ande N(0,1). Then Y N(O,(Po+Bix)-)...
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