Sum of the OLS coefficients

EasyStatistics~4m

For the data $(-2,3),\,(-1,2),\,(0,1),\,(1,1),\,(2,0.5)$ , fit $Y = \beta_0 + \beta_1 x + \epsilon$ by least squares. Compute $\hat\beta_0 + \hat\beta_1$ .

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$\bar x=0$ , so $\hat\beta_0=\bar y$ and $\hat\beta_1=\tfrac{\sum x_iy_i}{\sum x_i^2}$ .
$\hat\beta_1=-6/10=-0.6$ , $\hat\beta_0=1.5$ .

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Sum of the OLS coefficients

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