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1. For a simple linear regression BMI = a BIncome u. Suppose you have a random sample . Which of the following statement is true? a OLS estimators are unbiased but inefficient when BMI does not vary much in the sample b) OLS estimators are biased when the error u captures perseverance and self- control, and you believe that people who are perseverant and have more self- control tend to have higher income c) OLS estimators are biased when Income does not vary much in the sample d) OLS estimators are efficient as long as the sample size is large enough

1. For a simple linear regression BMI = a BIncome u. Suppose you have a random sample . Which of the following statement is true? a OLS estimators are unbiased but inefficient when BMI does not vary much in the sample b) OLS estimators are biased when the error u captures perseverance and self- control, and you believe that people who are perseverant and have more self- control tend to have higher income c) OLS estimators are biased when Income does not vary much in the sample d) OLS estimators are efficient as long as the sample size is large enough

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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1. For a simple linear regression BMI = a BIncome u. Suppose you have a random sample . Which of the following statement is true? a OLS estimators are unbiased but inefficient when BMI does not vary much in the sample b) OLS estimators are biased when the error u captures perseverance and self- control, and you believe that people who are perseverant and have more self- control tend to have higher income c) OLS estimators are biased when Income does not vary much in the sample d) OLS estimators are efficient as long as the sample size is large enough
Transcribed Image Text:1. For a simple linear regression BMI = a BIncome u. Suppose you have a random sample . Which of the following statement is true? a OLS estimators are unbiased but inefficient when BMI does not vary much in the sample b) OLS estimators are biased when the error u captures perseverance and self- control, and you believe that people who are perseverant and have more self- control tend to have higher income c) OLS estimators are biased when Income does not vary much in the sample d) OLS estimators are efficient as long as the sample size is large enough
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