The Distributed Lag Model Is Given by A $Y _ { t } = \beta _ { 0 } + \beta _ { 1 } X _ { t } + \beta _ { 2 } Y _ { t - 1 } + u _ { t }$

Short Answer

The distributed lag model is given by a. $Y _ { t } = \beta _ { 0 } + \beta _ { 1 } X _ { t } + \beta _ { 2 } Y _ { t - 1 } + u _ { t }$ .
b. $Y _ { t } = \beta _ { 0 } + \beta _ { 1 } Y _ { t - 1 } + \beta _ { 2 } Y _ { t - 2 } + \ldots + \beta _ { r } Y _ { t - r } + u _ { t }$ .
c. $Y _ { t } = \beta _ { 0 } + \beta _ { 1 } u _ { t } + \beta _ { 2 } u _ { t + 1 } + \beta _ { 3 } u _ { t + 2 } + \ldots + \beta _ { r + 1 } u _ { t + r } + e _ { t }$ .
d. $Y _ { t } = \beta _ { 0 } + \beta _ { 1 } X _ { t } + \beta _ { 2 } X _ { t - 1 } + \beta _ { 3 } X _ { t - 2 } + \ldots + \beta _ { r + 1 } X _ { t - r } + u _ { t }$ .