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Linear Modelinghard
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Consider a simple linear regression Y=β0+β1X+ϵY = \beta_0 + \beta_1 X + \epsilonY=β0​+β1​X+ϵ with n=25n=25n=25 observations. If the residual standard error is se=4.0s_e = 4.0se​=4.0 and the sum of squared deviations of XXX is ∑(Xi−Xˉ)2=160\sum (X_i - \bar{X})^2 = 160∑(Xi​−Xˉ)2=160, what is the standard error of the slope estimator SE(β^1)SE(\hat{\beta}_1)SE(β^​1​)?