Question: Linear regression model below that contains a deterministic part and a stochastic part to model respectively the systematic patterns in the data and the scatter

Linear regression model below that contains a deterministic part and a stochastic part to model respectively the systematic patterns in the data and the scatter of the data around this pattern. For the stochastic part ?, one of the basic assumptions is that ? hasmean 0. If E(?) = a (a is a non-zero constant), can we still make the assumption of the stochastic part having mean 0 hold true? Please explain your conclusion.

Linear regression model below that contains a deterministic part and a stochastic

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