Assumption 1: Linear regression model. The regression model is linear in the parameters,as shown in 1 2 i i i Y X where, Y is the regressandY and the regressorX may be nonlinear. Assumption 2: X values are fixed in repeated sampling. Values taken by the regressorXare considered fixed in repeated samples. More precisely, X is assumed to be nonstochastic. Assumption 3: Zero means value of disturbance i . That is, given the value of X, the mean value of the random disturbance term i is zero. This shows that the uncertain mean value of i is zero, as shown in ( | ) 0 i i E X …[02] Assumption 4: Equal variance of i . If given the value of X, the variance of i is the same for all observations. Which means that the uncertain variances of i are alike, as shown in.
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