Variance of OLS Intercept

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Hi, everybody, Welcome to the undergraduate econometrics course. Today we're going to talk about the deriving variance of the slope of two variables regression. We're going to start off with some intuition. Then I want to illustrate the mathematical derivation of the variance intercept OLS
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You wrote the mean of X instead of the square mean of X on your final expresion for the variance of the estimate of b_0. Thanks

chawouangapeyaaudreyarmel