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

Question
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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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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