Please do not give solution in image format thanku (4.1)   List all possible sample random samples of size n=2 that can be selected from the population {0, 1, 2, 3, 4} . Calculate for the population and V( ) for the sample.   For the simple random samples generated in exercise 4.1. Calculate δ^2 for each sample. Show numerically that E(δ^2)= N/(N-1) σ^2

Heteroskedasticity arises because of non-constant variance of the error terms. We said proportional heteroskedasticity exists when the error variance takes the following structure: Var(et)=σt^2=σ^2 xt. But as we know, that is only one of many forms of heteroskedasticity. To get rid of that specific form of heteroskedasticity using Generalized Least Squares, we employed a specific correction – we divided by the square root of our independent variable x. And the reason why that specific correction worked, and yielded a variance of our GLS estimates that was sigma-squared, was because of the following math: (Picture 1) Where var(et)=σ^2  according to our LS assumptions. In other words, dividing everything by the square root of x made this correction work to give us sigma squared at the end of the expression. But if we have a different form of heteroskedasticity (i.e. a difference variance structure), we have to do a different correction to get rid of it. (a) what correction would you use…