Linear Modelinghard
0:00.0

A researcher fits a simple linear regression model Y=β0+β1X+ϵY = \beta_0 + \beta_1 X + \epsilon to n=20n = 20 data points. Given that the total sum of squares SST=500SST = 500, the sum of squared errors SSE=125SSE = 125, and the sum of squares of the independent variable (XiXˉ)2=80\sum (X_i - \bar{X})^2 = 80, what is the variance of the OLS slope estimator Var(β^1)Var(\hat{\beta}_1)?