Question 1

The LM statistic requires estimation of the unrestricted model only.

Accepted Answer

A) True 
 B)False

Question 2

Which of the following statements is true under the Gauss-Markov assumptions?

Accepted Answer

A)  Among a certain class of estimators, OLS estimators are best linear unbiased, but are asymptotically inefficient.
B)  Among a certain class of estimators, OLS estimators are biased but asymptotically efficient.
C)  Among a certain class of estimators, OLS estimators are best linear unbiased and asymptotically efficient.
D)  The LM test is independent of the Gauss-Markov assumptions.

Question 3

In a regression model, if variance of the dependent variable, y, conditional on an explanatory variable, x, or Var(y|x) , is not constant, _____.

Accepted Answer

A)  the t statistics are invalid and confidence intervals are valid for small sample sizes
B)  the t statistics are valid and confidence intervals are invalid for small sample sizes
C)  the t statistics and the confidence intervals are valid no matter how large the sample size is
D)  the t statistics and the confidence intervals are both invalid no matter how large the sample size is

Question 4

The Cauchy-Schwartz inequality implies that the asymptotic variance of ​  is:

Accepted Answer

A)  ​greater than  .
B)  ​less than or equal to  .
C)  ​equal to  .
D)  ​less than  .

Question 5

If OLS estimators satisfy asymptotic normality, it implies that:

Accepted Answer

A)  they are approximately normally distributed in large enough sample sizes.
B)  they are approximately normally distributed in samples with less than 10 observations.
C)  they have a constant mean equal to zero and variance equal to 2. 
D)  they have a constant mean equal to one and variance equal to   ." class="answers-bank-image d-inline" rel="preload" > 2.
D)  they have a constant mean equal to one and variance equal to 2. 
D)  they have a constant mean equal to one and variance equal to   ." class="answers-bank-image d-inline" rel="preload" > .

Exam 5: Multiple Regression Analysis Ols Asymptotics

In a regression model, if variance of the dependent variable, y, conditional on an explanatory variable, x, or Var(y|x) , is not constant, _____.

Correct Answer
verified

The Cauchy-Schwartz inequality implies that the asymptotic variance of is:

Correct Answer
verified

If OLS estimators satisfy asymptotic normality, it implies that:

Correct Answer
verified

The LM statistic requires estimation of the unrestricted model only.

Correct Answer
verified

Which of the following statements is true under the Gauss-Markov assumptions?

Correct Answer
verified

Exam 5: Multiple Regression Analysis Ols Asymptotics

In a regression model, if variance of the dependent variable, y, conditional on an explanatory variable, x, or Var(y|x) , is not constant, _____.

Correct AnswerverifiedShow Answer

The Cauchy-Schwartz inequality implies that the asymptotic variance of ​ is:

Correct AnswerverifiedShow Answer

If OLS estimators satisfy asymptotic normality, it implies that:

Correct AnswerverifiedShow Answer

The LM statistic requires estimation of the unrestricted model only.

Correct AnswerverifiedShow Answer

Which of the following statements is true under the Gauss-Markov assumptions?

Correct AnswerverifiedShow Answer

Correct Answer
verified

The Cauchy-Schwartz inequality implies that the asymptotic variance of is:

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified