I am trying to estimate a partial adjustment model but my book doesn't give any guidance.
Do I need another variable for Y_t-Y_{t-1} if so how is it used in the regression?

<br /> Y^{*}_{i}=\alpha+\beta_{0}X_t+u_t<br />

The data set I am working with is:
<br /> \begin{bmatrix}<br /> YR & Y & X\\<br /> 1970 & 36.99 & 52.805\\<br /> 1971 & 33.6 & 55.906\\<br /> 1972 & 35.42 & 63.027\\<br /> 1973 & 42.35 & 72.931\\<br /> 1974 & 52.48 & 84.79\\<br /> 1975 & 53.66 & 86.589\\<br /> 1976 & 58.53 & 98.797\\<br /> 1977 & 67.48 & 113.201<br /> \end{bmatrix}<br />
<br /> \begin{bmatrix}<br /> 1978 & 78.13 & 126.905\\<br /> 1979 & 95.13 & 143.936\\<br /> 1980 & 112.6 & 154.391\\<br /> 1981 & 128.68 & 168.129\\<br /> 1982 & 123.97 & 163.351\\<br /> 1983 & 117.35 & 172.547\\<br /> 1984 & 139.61 & 190.682\\<br /> \end{bmatrix}<br />
<br /> \begin{bmatrix}<br /> 1985 & 152.88 & 194.538\\<br /> 1986 & 137.95 & 194.657\\<br /> 1987 & 141.06 & 206.326\\<br /> 1988 & 163.45 & 223.541\\<br /> 1989 & 183.8 & 232.724\\<br /> 1990 & 192.61 & 239.459\\<br /> 1991 & 182.81 & 235.142<br /> \end{bmatrix}<br />