Sxx Variance Formula | Premium

[ \widehat\mathrmVar(S_xx) = \frac2 S_xx^2n-1 ]

[ S_xx = \sum_i=1^n (x_i - \barx)^2 ]

where (s_x^2) is the sample variance of (x). sxx variance formula

[ \mathrmVar(S_xx) = 2(n-1)\sigma_x^4 ] We know:

[ \mathrmVar(S_xx) = 2(n-1)\sigma_x^4 ] The variance of the slope estimator (\hat\beta_1) in simple linear regression is: [ \widehat\mathrmVar(S_xx) = \frac2 S_xx^2n-1 ] [ S_xx

Under the :

Therefore:

Variance of a chi-squared random variable with (k) df is (2k):