Assuming the observed values $Y_i$ are Normal with mean $\beta_0 + \beta_1 X_i$ and variance $1$, what are the variances of the estimates $${\sigma_1}^2 = \frac{1}{n-1}[(Y_{21} − Y_2)^2 + (Y_{22} − Y_2)^2]$$ and $\sigma^2=\sum({Z_i}^2/6)$?
n=2 which is why 1/(n-1) was not included.
I am not really sure what is being asked. The variance is $E(x^2) - [E(x)]^2$
so is it the $E(\sigma^2) - [E(\sigma)]^2$? that seems to easy but it is the only thing I have thought of.
does it have to do with the distributions? normal vs Chi^2
$\sigma^2 = (\sigma_1^2+ \sigma_2^2+ \sigma_3^2$)/3
I am not sure of anything else. Thank you for any and all help.