If I am given the line $y_{i}=1+.5x_{i}+u_{i}$ along with 10 observations of some variable X and 10 observations of error terms (pulled from a normal distribution with mean=0 and variance=10) and I am told that $\beta_{o}=1$ and $\beta_{1}=.5$, how would I go about finding the true variance of $\hat{\beta_{0}}$ and $\hat{\beta_{1}}$?
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