In Simple Linear Regression Model $Y = \beta _ { 0 } + \beta _ { 1 } x + \varepsilon$

Multiple Choice

In simple linear regression model $Y = \beta _ { 0 } + \beta _ { 1 } x + \varepsilon$ which of the following statements are not required assumptions about the random error term $\varepsilon$
?

A) The expected value of $\varepsilon$

Is zero.
B) The variance of $\varepsilon$

Is the same for all values of the independent variable x.
C) The error term is normally distributed.
D) The values of the error term are independent of one another.
E) All of the above are required assumptions about $\varepsilon$

)