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Linear Modelinghard
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In a simple linear regression Yi=β0+β1Xi+ϵiY_i = \beta_0 + \beta_1 X_i + \epsilon_iYi​=β0​+β1​Xi​+ϵi​, suppose you scale the predictor by a factor k>0k > 0k>0, such that Xi∗=kXiX_i^* = kX_iXi∗​=kXi​. How does the new least-squares slope estimator β^1∗\hat{\beta}_1^*β^​1∗​ compare to the original slope estimator β^1\hat{\beta}_1β^​1​?