Consider the Following Distributed Lag Model $Y _ { t } = \beta _ { 0 } + \beta _ { 1 } X _ { t } + \beta _ { 2 } X _ { t - 1 } + u _ { t }$

Essay

Consider the following distributed lag model $Y _ { t } = \beta _ { 0 } + \beta _ { 1 } X _ { t } + \beta _ { 2 } X _ { t - 1 } + u _ { t }$ , where $u _ { t } = \phi _ { 1 } u _ { t - 1 } + \tilde { u } _ { t } , \tilde { u } _ { t }$ is serially uncorrelated, and $X$ is strictly exogenous. (a)How many parameters are there to be estimated between the two equations?