Which of the following statements hold true for the sampling distribution of B and B₁ under the least squares assumptions? (Check all that apply.) A. Bo and ₁ are biased estimators of Bo and p₁, respectively. B. Bo and ₁ are unbiased estimators of Bo and ₁, respectively. C. The sampling distribution of ☐D. The sampling distribution of Suppose a researcher conducts an experiment with a sample size of n = 50. In this case, the normal approximations to the distributions of the OLS estimators of the researcher's regression parameters and ₁ is always well approximated by the bivariate normal distribution. and ₁ is well approximated by the bivariate normal distribution if the sample is sufficiently large. be reliable.
Which of the following statements hold true for the sampling distribution of B and B₁ under the least squares assumptions? (Check all that apply.) A. Bo and ₁ are biased estimators of Bo and p₁, respectively. B. Bo and ₁ are unbiased estimators of Bo and ₁, respectively. C. The sampling distribution of ☐D. The sampling distribution of Suppose a researcher conducts an experiment with a sample size of n = 50. In this case, the normal approximations to the distributions of the OLS estimators of the researcher's regression parameters and ₁ is always well approximated by the bivariate normal distribution. and ₁ is well approximated by the bivariate normal distribution if the sample is sufficiently large. be reliable.
Chapter2: Mathematics For Microeconomics
Section: Chapter Questions
Problem 2.15P
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Which of the following statements hold true for the sampling distribution of and under the least squares assumptions? (Check all that apply.)
A. Band ₁ are biased estimators of B and B₁, respectively.
B.
Bo and 1B₁ are unbiased estimators of Bo and B₁, respectively.
C. The sampling distribution of Band ₁ is always well approximated by the bivariate normal distribution.
D. The sampling distribution of B and ₁ is well approximated by the bivariate normal distribution if the sample is sufficiently large.
Suppose a researcher conducts an experiment with a sample size of n = 50.
In this case, the normal approximations to the distributions of the OLS estimators of the researcher's regression parameters
be reliable.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa9090c14-64f0-453e-968b-80a645913490%2F55b2195e-0e49-47a0-969d-c9e04265ec5e%2Fnceo0tm_processed.png&w=3840&q=75)
Transcribed Image Text:Quest
Which of the following statements hold true for the sampling distribution of and under the least squares assumptions? (Check all that apply.)
A. Band ₁ are biased estimators of B and B₁, respectively.
B.
Bo and 1B₁ are unbiased estimators of Bo and B₁, respectively.
C. The sampling distribution of Band ₁ is always well approximated by the bivariate normal distribution.
D. The sampling distribution of B and ₁ is well approximated by the bivariate normal distribution if the sample is sufficiently large.
Suppose a researcher conducts an experiment with a sample size of n = 50.
In this case, the normal approximations to the distributions of the OLS estimators of the researcher's regression parameters
be reliable.
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