Suppose an economist postulates that the demand for money at time 't' (Yt) depends upon the expected rate of interest (Xt*) at that time: Yt = β1 + β2Xt* + ut. Because the expected rate of interest is not directly observable, it is assumed that expectations are formed such that they learn from their previous mistakes. Thus, expectations are revised each period by a fraction δ of the discrepancy between the current value of the interest rate and its previous expected value: Xt* - Xt-1* = δ(Xt - Xt-1*). What would you identify such a model as?

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Suppose an economist postulates that the demand for money at time 't' (Y<sub>t</sub>) depends upon the expected rate of interest (X<sub>t</sub><sup>*</sup>) at that time: Y<sub>t</sub> = β<sub>1</sub> + β<sub>2</sub>X<sub>t</sub><sup>*</sup> + u<sub>t</sub>. Because the expected rate of interest is not directly observable, it is assumed that expectations are formed such that they learn from their previous mistakes. Thus, expectations are revised each period by a fraction δ of the discrepancy between the current value of the interest rate and its previous expected value: X<sub>t</sub><sup>* </sup>- X<sub>t-1</sub><sup>* </sup>= δ(X<sub>t</sub> - X<sub>t-1</sub><sup>*</sup>). What would you identify such a model as?