Vis at OLS-linjen går gjennom (xˉ,yˉ)(\bar{x}, \bar{y})(xˉ,yˉ).
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β^0=yˉ−β^1xˉ\hat{\beta}_0 = \bar{y} - \hat{\beta}_1\bar{x}β^0=yˉ−β^1xˉ. Sett inn x=xˉx = \bar{x}x=xˉ: y^=yˉ−β^1xˉ+β^1xˉ=yˉ\hat{y} = \bar{y} - \hat{\beta}_1\bar{x} + \hat{\beta}_1\bar{x} = \bar{y}y^=yˉ−β^1xˉ+β^1xˉ=yˉ.
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