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In the Model Yt = 0 + 1xt1

Question 8

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In the model yt = In the model y<sub>t</sub> =   <sub>0</sub> +   <sub>1</sub>x<sub>t</sub><sub>1</sub> +   <sub>2</sub>x<sub>t</sub><sub>2</sub> + ….. +   <sub>k</sub>x<sub>tk</sub> + u<sub>t</sub>, the explanatory variables, x<sub>t</sub> = (x<sub>t</sub><sub>1</sub>, x<sub>t</sub><sub>2</sub> …., x<sub>tk</sub>) , are sequentially exogenous if: A) E(u<sub>t</sub>|xt , xt-<sub>1</sub>, ……)  = E(u<sub>t</sub>)  = 0, t = 1,2, …. B) E(u<sub>t</sub>|xt , xt-<sub>1</sub>, ……)    E(u<sub>t</sub>)  = 0, t = 1,2, …. C)  E(u<sub>t</sub>|xt , xt-<sub>1</sub>, ……)  = E(u<sub>t</sub>)  > 0, t = 1,2, …. D)  E(u<sub>t</sub>|xt , xt-<sub>1</sub>, ……)  = E(u<sub>t</sub>)  = 1, t = 1,2, …. 0 + In the model y<sub>t</sub> =   <sub>0</sub> +   <sub>1</sub>x<sub>t</sub><sub>1</sub> +   <sub>2</sub>x<sub>t</sub><sub>2</sub> + ….. +   <sub>k</sub>x<sub>tk</sub> + u<sub>t</sub>, the explanatory variables, x<sub>t</sub> = (x<sub>t</sub><sub>1</sub>, x<sub>t</sub><sub>2</sub> …., x<sub>tk</sub>) , are sequentially exogenous if: A) E(u<sub>t</sub>|xt , xt-<sub>1</sub>, ……)  = E(u<sub>t</sub>)  = 0, t = 1,2, …. B) E(u<sub>t</sub>|xt , xt-<sub>1</sub>, ……)    E(u<sub>t</sub>)  = 0, t = 1,2, …. C)  E(u<sub>t</sub>|xt , xt-<sub>1</sub>, ……)  = E(u<sub>t</sub>)  > 0, t = 1,2, …. D)  E(u<sub>t</sub>|xt , xt-<sub>1</sub>, ……)  = E(u<sub>t</sub>)  = 1, t = 1,2, …. 1xt1 + In the model y<sub>t</sub> =   <sub>0</sub> +   <sub>1</sub>x<sub>t</sub><sub>1</sub> +   <sub>2</sub>x<sub>t</sub><sub>2</sub> + ….. +   <sub>k</sub>x<sub>tk</sub> + u<sub>t</sub>, the explanatory variables, x<sub>t</sub> = (x<sub>t</sub><sub>1</sub>, x<sub>t</sub><sub>2</sub> …., x<sub>tk</sub>) , are sequentially exogenous if: A) E(u<sub>t</sub>|xt , xt-<sub>1</sub>, ……)  = E(u<sub>t</sub>)  = 0, t = 1,2, …. B) E(u<sub>t</sub>|xt , xt-<sub>1</sub>, ……)    E(u<sub>t</sub>)  = 0, t = 1,2, …. C)  E(u<sub>t</sub>|xt , xt-<sub>1</sub>, ……)  = E(u<sub>t</sub>)  > 0, t = 1,2, …. D)  E(u<sub>t</sub>|xt , xt-<sub>1</sub>, ……)  = E(u<sub>t</sub>)  = 1, t = 1,2, …. 2xt2 + ….. + In the model y<sub>t</sub> =   <sub>0</sub> +   <sub>1</sub>x<sub>t</sub><sub>1</sub> +   <sub>2</sub>x<sub>t</sub><sub>2</sub> + ….. +   <sub>k</sub>x<sub>tk</sub> + u<sub>t</sub>, the explanatory variables, x<sub>t</sub> = (x<sub>t</sub><sub>1</sub>, x<sub>t</sub><sub>2</sub> …., x<sub>tk</sub>) , are sequentially exogenous if: A) E(u<sub>t</sub>|xt , xt-<sub>1</sub>, ……)  = E(u<sub>t</sub>)  = 0, t = 1,2, …. B) E(u<sub>t</sub>|xt , xt-<sub>1</sub>, ……)    E(u<sub>t</sub>)  = 0, t = 1,2, …. C)  E(u<sub>t</sub>|xt , xt-<sub>1</sub>, ……)  = E(u<sub>t</sub>)  > 0, t = 1,2, …. D)  E(u<sub>t</sub>|xt , xt-<sub>1</sub>, ……)  = E(u<sub>t</sub>)  = 1, t = 1,2, …. kxtk + ut, the explanatory variables, xt = (xt1, xt2 …., xtk) , are sequentially exogenous if:


A) E(ut|xt , xt-1, ……) = E(ut) = 0, t = 1,2, ….
B) E(ut|xt , xt-1, ……) In the model y<sub>t</sub> =   <sub>0</sub> +   <sub>1</sub>x<sub>t</sub><sub>1</sub> +   <sub>2</sub>x<sub>t</sub><sub>2</sub> + ….. +   <sub>k</sub>x<sub>tk</sub> + u<sub>t</sub>, the explanatory variables, x<sub>t</sub> = (x<sub>t</sub><sub>1</sub>, x<sub>t</sub><sub>2</sub> …., x<sub>tk</sub>) , are sequentially exogenous if: A) E(u<sub>t</sub>|xt , xt-<sub>1</sub>, ……)  = E(u<sub>t</sub>)  = 0, t = 1,2, …. B) E(u<sub>t</sub>|xt , xt-<sub>1</sub>, ……)    E(u<sub>t</sub>)  = 0, t = 1,2, …. C)  E(u<sub>t</sub>|xt , xt-<sub>1</sub>, ……)  = E(u<sub>t</sub>)  > 0, t = 1,2, …. D)  E(u<sub>t</sub>|xt , xt-<sub>1</sub>, ……)  = E(u<sub>t</sub>)  = 1, t = 1,2, …. E(ut) = 0, t = 1,2, ….
C) E(ut|xt , xt-1, ……) = E(ut) > 0, t = 1,2, ….
D) E(ut|xt , xt-1, ……) = E(ut) = 1, t = 1,2, ….

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