An independent researcher is interested in finding out whether there exists a positive relationship between the number of years of formal education received by an individual and the number of years of formal education received by each of his parents. It is assumed that the number of years of formal education received by one parent of an individual is positively correlated with that of the other parent. The researcher randomly selects 250 individuals and estimates the following regression function: ŷ = 8+ 0.56X, where Y, denotes the number of years f formal education received by the individual and X, denotes the number of years of formal education received by the individual's father. Since the researcher only incorporates the educational attainment of an individual's father in the regression, and not that of the individual's mother, omitted variable bias will occur. Which of the following statements correctly describes the omitted variable bias? O A. Omitted variable bias arises when the omitted variable is correlated with the error term and is a determinant of a regressor. O B. Omitted variable bias arises when the omitted variable is a determinant of the independent variable but not of the dependent variable. C. Omitted variable bias arises when the omitted variable is correlated with a regressor and is a determinant of the dependent variable. O D. Omitted variable bias arises when the variance of the conditional distribution of error term is not constant and depends on the omitted variable. Suppose the researcher somehow discovers that the values of the population slope (B,), the standard deviation of the regressor (ay), the standard deviation of the error term (a), and the correlation between the error term and the regressor (Pu) are 0.48, 0.55, 0.34, 0.47, respectively. As the sample size increases, the value to which the slope estimator will converge to with high probability is (Round your answer to two decimal places.) In this case, the direction of the omitted variable bias is

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
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Concept Exercise ő. I.I
formal education received by each of his parents. It is
An independent researcher is interested in finding out whether there exists a positive relationship between the number of years of formal education received by an individual and the number of years
assumed that the number of years of formal education received by one parent of an individual is positively correlated with that of the other parent. The researcher randomly selects 250 individuals and estimates the following regression function:
ŷ = 8 +0.56X,,
where
denotes the number of years of formal education received by the individual and X, denotes the number of years of formal education received by the h individual's father.
Since the researcher only incorporates the educational attainment of an individual's father in the regression, and not that of the individual's mother, omitted variable bias will occur.
Which of the following statements correctly describes the omitted variable bias?
O A. Omitted variable bias arises when the omitted variable is correlated with the error term and is a determinant of a regressor.
O B. Omitted variable bias arises when the omitted variable is a determinant of the independent variable but not of the dependent variable.
c. Omitted variable bias arises when the omitted variable is correlated with a regressor and is a determinant of the dependent variable.
O D. Omitted variable bias arises when the variance of the conditional distribution of error term is not constant and depends on the omitted variable.
Suppose the researcher somehow discovers that the values of the population slope (B,), the standard deviation of the regressor (a), the standard deviation of the error term (o), and the correlation between the error term and the regressor (e) are 0.48,
0.55, 0.34, 0.47, respectively.
As the sample size increases, the value to which the slope estimator will converge to with high probability is
(Round your answer to two decimal places.)
In this case, the direction of the omitted variable bias is
Enter your answer in the answer box and then click Check Answer.
Transcribed Image Text:Concept Exercise ő. I.I formal education received by each of his parents. It is An independent researcher is interested in finding out whether there exists a positive relationship between the number of years of formal education received by an individual and the number of years assumed that the number of years of formal education received by one parent of an individual is positively correlated with that of the other parent. The researcher randomly selects 250 individuals and estimates the following regression function: ŷ = 8 +0.56X,, where denotes the number of years of formal education received by the individual and X, denotes the number of years of formal education received by the h individual's father. Since the researcher only incorporates the educational attainment of an individual's father in the regression, and not that of the individual's mother, omitted variable bias will occur. Which of the following statements correctly describes the omitted variable bias? O A. Omitted variable bias arises when the omitted variable is correlated with the error term and is a determinant of a regressor. O B. Omitted variable bias arises when the omitted variable is a determinant of the independent variable but not of the dependent variable. c. Omitted variable bias arises when the omitted variable is correlated with a regressor and is a determinant of the dependent variable. O D. Omitted variable bias arises when the variance of the conditional distribution of error term is not constant and depends on the omitted variable. Suppose the researcher somehow discovers that the values of the population slope (B,), the standard deviation of the regressor (a), the standard deviation of the error term (o), and the correlation between the error term and the regressor (e) are 0.48, 0.55, 0.34, 0.47, respectively. As the sample size increases, the value to which the slope estimator will converge to with high probability is (Round your answer to two decimal places.) In this case, the direction of the omitted variable bias is Enter your answer in the answer box and then click Check Answer.
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