For a linear regression, y(i) = a + b x(i) + e(i), what is cov(xbar, bhat), ie, the covariance between the sample mean of x, xbar, and the ols estimate of the slope, bhat?
A solution for cov(ybar, bhat) is provided here, http://www.talkstats.com/showthread.php/12535-how-to-prove-COV(y-bar-estimated-beta1)-in-linear-regression-equals-0
A solution for cov(ybar, bhat) is provided here, http://www.talkstats.com/showthread.php/12535-how-to-prove-COV(y-bar-estimated-beta1)-in-linear-regression-equals-0