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I have tried to proof the variance of this estimator.

Is this right?

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    $\begingroup$ This website supports math typesetting. Using math typesetting, instead of pasting images of Word documents, will make it easier to read your question and increase the likelihood of getting a useful answer. More information: math.meta.stackexchange.com/questions/5020/… $\endgroup$
    – Sycorax
    Nov 22, 2022 at 18:45
  • $\begingroup$ You have to explain some notation for your post to be fully understood; e.g. what are $x_1,y_n,\ldots$. $\endgroup$
    – utobi
    Nov 22, 2022 at 19:07
  • $\begingroup$ It's not correct. The duplicates give the formula to use. BTW, there appears to be a typographical error in your expression for $\tilde \beta_1:$ the numerator likely involves only $x_1+x_n.$ $\endgroup$
    – whuber
    Nov 22, 2022 at 19:32

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