随机误差项ε的线性：What the hell is that? Linear in what?
随机误差项ε的正态性: You never need this for fitting a model through moment matching. It is only a very mild assumption when you need likelihood-based inference.
随机误差项ε的方差齐性: For many properties, this is not an assumption either. If it matters to your particular problem, usually sandwich estimators work well asymptotically.
自变量的独立性: Regression analysis always conditions on explanatory variables. Therefore, there is no such a concept of independence for them, since they are not random after conditioning. A slightly better term would be orthogonal. But that's not an assumption either.
