Linear Modelingmedium
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In a linear regression analysis, suppose the independent variable xx is measured perfectly, but the dependent variable yy is measured with a random error vv (so y=y+vy^* = y + v, where vv has mean 0 and is independent of xx and the regression error term ϵ\epsilon). If we fit a regression of yy^* on xx, what is the effect on the estimated slope and its standard error?