Simple Linear Regression (Econometrics)
Im given 10 observations for some variable X along with 10 observations of the error term(u) (pulled from normal distribution with mean=0 and variance=10). I'm given this equation:
Yi=1+.5Xi+ui
and that B0=1 and B1=.5. Im than told that since I know the true properties of the data, than I need to find the following:
1) True Variance of Beta^{hat}o and Beta^{hat}1
I honestly don't really know what its asking so if anyone could help or offer some insight that would be great.
Re: Simple Linear Regression (Econometrics)
Hey madams5402.
Basically they are asking for the variance of the estimated parameters: your Beta's are not just numbers but they have a distribution of their own (i.e. they are random variables).
There are formula's for the variance of parameters and they should reflect a t-distribution under a standard OLS regression.
Do you have a book or notes that covers this?