Hva er formelen for OLS-estimatoren β^1\hat{\beta}_1β^1 i enkel regresjon?
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β^1=∑i=1n(Xi−Xˉ)(Yi−Yˉ)∑i=1n(Xi−Xˉ)2=Cov^(X,Y)Var^(X)\hat{\beta}_1 = \dfrac{\sum_{i=1}^n (X_i - \bar{X})(Y_i - \bar{Y})}{\sum_{i=1}^n (X_i - \bar{X})^2} = \dfrac{\widehat{\text{Cov}}(X,Y)}{\widehat{\text{Var}}(X)}β^1=∑i=1n(Xi−Xˉ)2∑i=1n(Xi−Xˉ)(Yi−Yˉ)=Var(X)Cov(X,Y)
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