Homework Answers
If it true that if Expected value of Bo is equal Bo, then it follows that it is unbiased.
Option is A
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See image below. Select the most appropriate answer. Consider the following two models for Yi: Fitted...
Consider the following regression model: Xi = Bo + Bixi + y; where yi is individual...
Consider the following regression model: Xi = Bo + Bixi + y; where yi is individual i's University GPA and xi is the individual's high school grades. a. What do you think is in ui? Do you think E[ulx) = 0? Suggest a variable that you think might affect University GPA that isn't included in the regression equation but should be. c. What sign of bias would you expect in an OLS regression of y on x? Briefly explain. d....
Assume that the variable Y is actually determined by the following equation Y; = Bo + B1X1,i+ B2X2,i + Uj additionally...
Assume that the variable Y is actually determined by the following equation Y; = Bo + B1X1,i+ B2X2,i + Uj additionally assume that corr(X1, X2) = p. The usual assumptions for a linear model hold in this case. You are interested in estimating B1. To accomplish this you collect a sample of the variables Y and X1 and estimate the following model Y; = Yo + 91X1,i+ vi (3) Answer the following questions 6. If p= 0 and B2 >...
Now consider the following two models: Yi = β0 + β1Xi + ui (M1) Yi =...
Now consider the following two models: Yi = β0 + β1Xi + ui (M1) Yi = β0 + β1Xi + β2X2 i + ui (M2) 1 and determine whether each of the following statements is true, false or uncertain, and explain why: a) M1 has better out-of-sample fit than M2 b) The R2 will be higher for M1 than for M2 c) M2 and M1 are nested models d) I can test whether M1 and M2 are statistically different by...
Consider the following system of equations and assume betas and gammas are parameters, and all other...
Consider the following system of equations and assume betas and gammas are parameters, and all other series are random variables. What is the identification for the Y equation? Select the most appropriate answer. Y; = Bo + B1X1,i+ B2X2,i + ui X1,1 = y +r1Y; + vi O A. Under identified O B. Exactly identified O C. Over identified. OD. Identification can not be determined.
It's 5 multiple-choice questions of applicated economic, can someone help me? Thank you so much! Assume...
It's 5 multiple-choice questions of applicated economic, can
someone help me? Thank you so much!
Assume that the variable Y is actually determined by the following equation Y; = Bo + B1X1,i+ B2X2,i + Uj additionally assume that corr(X1, X2) = p. The usual assumptions for a linear model hold in this case. You are interested in estimating B1. To accomplish this you collect a sample of the variables Y and X1 and estimate the following model Y; = Yo...
Consider the model, Yi = Bo + B1 X1,1 + B2 X2,1 + Uj, where sorting...
Consider the model, Yi = Bo + B1 X1,1 + B2 X2,1 + Uj, where sorting the residuals based on the X1,; and X2,1 gives: X1 X2 Goldfeld-Quandt Statistic 1.475 0.843 If there is heteroskedasticity present at the 5% critical-F value of 1.624, then choose the most appropriate heteroskedasticity correction method. O A. Not enough information. OB. White's heteroskedastic-consistent standard errors C. Heteroskedastic correction based on X1. Ο Ο Ο D. Heteroskedastic correction based on X2. E. No heteroskedastic correction...
Consider the model, Yi = Bo + B1 Xi + Uj, where you suspect Xi is...
Consider the model, Yi = Bo + B1 Xi + Uj, where you suspect Xi is endogenous. You have an exogenous instrument and you estimate the first stage to recover the residuals, Vhati. You want to test for endogeneity so you estimate the following model using OLS: Y; = Bo + B1 Xì + B2 Vhat; + Uj. The estimation results from 100 observations are in the table: Coefficient Standard Errors constant 2.96 0.47 X 0.75 0.85 Vhat 0.37 0.15...
PLEASE ANSWER ALL THE POINTS AND WRITE CLEARLY AND EXPLAIN THANK YOUU!! 1. Consider the following...
PLEASE ANSWER ALL THE POINTS AND WRITE CLEARLY AND EXPLAIN THANK
YOUU!!
1. Consider the following linear regression model: (a) which assumptions are needed to Inake the A i unbiased estimators for the ßi? (b) Explain how one can test the hypothesis that +A-0 by means of a t-test. We were unable to transcribe this image(d) Suppose that r is an irrelevant explanatory variable in the population model and that you estimate the model including both r1 and r2. What...
[For questions 10-15] Consider the following multiple regression model with two right-hand-side variables. Y; = bo...
[For questions 10-15] Consider the following multiple regression model with two right-hand-side variables. Y; = bo + by Xli + b2 X 2 +e Question 10 1 pts Please answer whether the following equation is true or false. Y; = bo + b1 X1 + b2 X2i True False D Question 11 1 pts Please answer whether the following equation is true or false. et =Y - Ý True O False
Consider the following sample regressions for the linear, the quadratic, and the cubic models along with...
Consider the following sample regressions for the linear, the quadratic, and the cubic models along with their respective R2 and adjusted R2. Intercept х x2 Linear 28.53 0.12 NA NA Quadratic 28.80 0.01 0.01 Cubic 28.62 0.15 -0.02 -0.01 x3 NA R2 Adjusted R2 0.005 -0.021 0.006 -0.048 0.006 -0.077 a. Predict y for x = 2 and 4 with each of the estimated models. (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal...
Consider the following regression model: Xi = Bo + Bixi + y; where yi is individual i's University GPA and xi is the individual's high school grades. a. What do you think is in ui? Do you think E[ulx) = 0? Suggest a variable that you think might affect University GPA that isn't included in the regression equation but should be. c. What sign of bias would you expect in an OLS regression of y on x? Briefly explain. d....
Assume that the variable Y is actually determined by the following equation Y; = Bo + B1X1,i+ B2X2,i + Uj additionally assume that corr(X1, X2) = p. The usual assumptions for a linear model hold in this case. You are interested in estimating B1. To accomplish this you collect a sample of the variables Y and X1 and estimate the following model Y; = Yo + 91X1,i+ vi (3) Answer the following questions 6. If p= 0 and B2 >...
Consider the following system of equations and assume betas and gammas are parameters, and all other series are random variables. What is the identification for the Y equation? Select the most appropriate answer. Y; = Bo + B1X1,i+ B2X2,i + ui X1,1 = y +r1Y; + vi O A. Under identified O B. Exactly identified O C. Over identified. OD. Identification can not be determined.
It's 5 multiple-choice questions of applicated economic, can
someone help me? Thank you so much!
Assume that the variable Y is actually determined by the following equation Y; = Bo + B1X1,i+ B2X2,i + Uj additionally assume that corr(X1, X2) = p. The usual assumptions for a linear model hold in this case. You are interested in estimating B1. To accomplish this you collect a sample of the variables Y and X1 and estimate the following model Y; = Yo...
Consider the model, Yi = Bo + B1 X1,1 + B2 X2,1 + Uj, where sorting the residuals based on the X1,; and X2,1 gives: X1 X2 Goldfeld-Quandt Statistic 1.475 0.843 If there is heteroskedasticity present at the 5% critical-F value of 1.624, then choose the most appropriate heteroskedasticity correction method. O A. Not enough information. OB. White's heteroskedastic-consistent standard errors C. Heteroskedastic correction based on X1. Ο Ο Ο D. Heteroskedastic correction based on X2. E. No heteroskedastic correction...
Consider the model, Yi = Bo + B1 Xi + Uj, where you suspect Xi is endogenous. You have an exogenous instrument and you estimate the first stage to recover the residuals, Vhati. You want to test for endogeneity so you estimate the following model using OLS: Y; = Bo + B1 Xì + B2 Vhat; + Uj. The estimation results from 100 observations are in the table: Coefficient Standard Errors constant 2.96 0.47 X 0.75 0.85 Vhat 0.37 0.15...
PLEASE ANSWER ALL THE POINTS AND WRITE CLEARLY AND EXPLAIN THANK
YOUU!!
1. Consider the following linear regression model: (a) which assumptions are needed to Inake the A i unbiased estimators for the ßi? (b) Explain how one can test the hypothesis that +A-0 by means of a t-test. We were unable to transcribe this image(d) Suppose that r is an irrelevant explanatory variable in the population model and that you estimate the model including both r1 and r2. What...
[For questions 10-15] Consider the following multiple regression model with two right-hand-side variables. Y; = bo + by Xli + b2 X 2 +e Question 10 1 pts Please answer whether the following equation is true or false. Y; = bo + b1 X1 + b2 X2i True False D Question 11 1 pts Please answer whether the following equation is true or false. et =Y - Ý True O False
Consider the following sample regressions for the linear, the quadratic, and the cubic models along with their respective R2 and adjusted R2. Intercept х x2 Linear 28.53 0.12 NA NA Quadratic 28.80 0.01 0.01 Cubic 28.62 0.15 -0.02 -0.01 x3 NA R2 Adjusted R2 0.005 -0.021 0.006 -0.048 0.006 -0.077 a. Predict y for x = 2 and 4 with each of the estimated models. (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal...
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