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Linear Modelinghard
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What is the interpretation of the slope β1\beta_1β1​ in the model Y=β0+β1X+β2DX+ϵY = \beta_0 + \beta_1 X + \beta_2 DX + \epsilonY=β0​+β1​X+β2​DX+ϵ, where DDD is a dummy variable (111 for group 1, 000 for group 2)?