Sample questions Quiz 2-1

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Johns Hopkins University *

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Economics

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Jan 9, 2024

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Examples of questions, Quiz 2 Quiz 2 will contain a set of multiple-choice/true-false questions. Examples of Multiple choices- TRUE/FALSE questions 1. If an independent variable in a multiple linear regression model is an exact linear combination of other independent variables, the model suffers from the problem of _____. a. perfect collinearity b. homoskedasticity c. heteroskedasticty d. omitted variable bias 2. Suppose the variable x 2 has been omitted from the following regression equation , is the estimator obtained when is omitted from the equation. The bias in is positive if _____. a. >0 and and are positively correlated b. <0 and and are positively correlated c. >0 and and are negatively correlated d. = 0 and and are negatively correlated 3. The Gauss-Markov theorem will not hold if _____. a. the error term has the same variance given any values of the explanatory variables b. the error term has an expected value of zero given any values of the independent variables c. the independent variables have exact linear relationships among them d. the regression model relies on the method of random sampling for collection of data
5. A normal variable is standardized by: a. subtracting off its mean from it and multiplying by its standard deviation. b. adding its mean to it and multiplying by its standard deviation. c. subtracting off its mean from it and dividing by its standard deviation. d. adding its mean to it and dividing by its standard deviation. 7. Which of the following is true of standard error? a. It can take negative values. b. It is an estimate of the standard deviation. c. It is the square root of the variance. d. It complicates the computation of confidence intervals. 8. The ordinary least square estimators have the smallest variance among all the unbiased estimators. a. True b. False 9. In a multiple regression model, the OLS estimator is consistent if: a. there is no correlation between the dependent variables and the error term. b. there is a perfect correlation between the dependent variables and the error term. c. the sample size is less than the number of parameters in the model. d. there is no correlation between the independent variables and the error term. 10. If OLS estimators satisfy asymptotic normality, it implies that: 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 .
SOLUTIONS TO Examples of questions, Quiz 2 Quiz 2 will contain a set of multiple-choice/true-false questions. Examples of Multiple choices- TRUE/FALSE questions 1. If an independent variable in a multiple linear regression model is an exact linear combination of other independent variables, the model suffers from the problem of _____. a. perfect collinearity b. homoskedasticity c. heteroskedasticty d. omitted variable bias ANSWER: a 2. Suppose the variable x 2 has been omitted from the following regression equation , is the estimator obtained when is omitted from the equation. The bias in is positive if _____. a. >0 and and are positively correlated b. <0 and and are positively correlated c. >0 and and are negatively correlated d. = 0 and and are negatively correlated ANSWER:a 3. The Gauss-Markov theorem will not hold if _____. a. the error term has the same variance given any values of the explanatory variables b. the error term has an expected value of zero given any values of the independent variables c. the independent variables have exact linear relationships among them d. the regression model relies on the method of random sampling for collection of data ANSWER: c
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5. A normal variable is standardized by: a. subtracting off its mean from it and multiplying by its standard deviation. b. adding its mean to it and multiplying by its standard deviation. c. subtracting off its mean from it and dividing by its standard deviation. d. adding its mean to it and dividing by its standard deviation. ANSWER: c 7. Which of the following is true of standard error? a. It can take negative values. b. It is an estimate of the standard deviation. c. It is the square root of the variance. d. It complicates the computation of confidence intervals. ANSWER: b 8. The ordinary least square estimators have the smallest variance among all the unbiased estimators. a. True b. False ANSWER: True 9. In a multiple regression model, the OLS estimator is consistent if: a. there is no correlation between the dependent variables and the error term. b. there is a perfect correlation between the dependent variables and the error term. c. the sample size is less than the number of parameters in the model. d. there is no correlation between the independent variables and the error term. ANSWER: d 10. If OLS estimators satisfy asymptotic normality, it implies that: 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 . ANSWER: a