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Linear Modelinghard
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In a simple linear regression Y=β0+β1X+ϵY = \beta_0 + \beta_1 X + \epsilonY=β0​+β1​X+ϵ with n=20n=20n=20 observations, ∑(Xi−Xˉ)2=80\sum (X_i - \bar{X})^2 = 80∑(Xi​−Xˉ)2=80 and the residual standard error se=4s_e = 4se​=4. What is the variance of the slope estimator β^1\hat{\beta}_1β^​1​?