Consider the following multiple regression models (a)to (d)below. DFemme = 1 if the individual is a female, and is zero otherwise; DMale is a binary variable which takes on the value one if the individual is male, and is zero otherwise; DMarried is a binary variable which is unity for married individuals and is zero otherwise, and DSingle is (1-DMarried). Regressing weekly earnings (Earn)on a set of explanatory variables, you will experience perfect multicollinearity in the following cases unless: A) $\widehat { E a m }$ _i = $\widehat { \beta 0 }$ + $\widehat { \beta 1 }$ DFemme + $\widehat{\beta} _ { 2 }$ Dmale + $\widehat { \beta } _ { 3 }$ X₃_i B) $\widehat{ E a m }$ _i = $\widehat { \beta 0 }$ + $\widehat { \beta 1 }$ DMarried + $\widehat{\beta} _ { 2 }$ DSingle + $\widehat { \beta } _ { 3 }$ X₃_i C) $\widehat { E a m }$ _i = $\widehat { \beta 0 }$ + $\widehat { \beta 1 }$ DFemme + $\widehat { \beta } _ { 3 }$ X₃_i D) $\widehat { E a m }$ _i = $\widehat { \beta 1 }$ DFemme + $\beta _ { 2 }$ Dmale + $\widehat { \beta _ { 3 }}$ DMarried + $\widehat { \beta 4 }$ DSingle + $\widehat { \beta 5 }$ X₃_i

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The Answer of Consider the following multiple regression models (a)to (d)below. DFemme = 1 if the individual is a female, and is zero otherwise; DMale is a binary variable which takes on the value one if the individual is male, and is zero otherwise; DMarried is a binary variable which is unity for married individuals and is zero otherwise, and DSingle is (1-DMarried). Regressing weekly earnings (Earn)on a set of explanatory variables, you will experience perfect multicollinearity in the following cases unless: A) $\widehat { E a m }$ _i = $\widehat { \beta 0 }$ + $\widehat { \beta 1 }$ DFemme + $\widehat{\beta} _ { 2 }$ Dmale + $\widehat { \beta } _ { 3 }$ X₃_i B) $\widehat{ E a m }$ _i = $\widehat { \beta 0 }$ + $\widehat { \beta 1 }$ DMarried + $\widehat{\beta} _ { 2 }$ DSingle + $\widehat { \beta } _ { 3 }$ X₃_i C) $\widehat { E a m }$ _i = $\widehat { \beta 0 }$ + $\widehat { \beta 1 }$ DFemme + $\widehat { \beta } _ { 3 }$ X₃_i D) $\widehat { E a m }$ _i = $\widehat { \beta 1 }$ DFemme + $\beta _ { 2 }$ Dmale + $\widehat { \beta _ { 3 }}$ DMarried + $\widehat { \beta 4 }$ DSingle + $\widehat { \beta 5 }$ X₃_i

Consider the Following Multiple Regression Models (A)to (D)below Eam^\widehat { E a m }Eam

Consider the Following Multiple Regression Models (A)to (D)below $\widehat { E a m }$