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Linear Modelingmedium
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A physical theory states that when x = 0, the outcome y must also equal 0. A researcher fits two regression models to data:

  • Model A: Standard regression y^=0.48x+0.05\hat{y} = 0.48x + 0.05y^​=0.48x+0.05 with R2=0.91R^2 = 0.91R2=0.91
  • Model B: Regression through origin y^=0.49x\hat{y} = 0.49xy^​=0.49x (forced intercept = 0) with R2=0.88R^2 = 0.88R2=0.88

Which model should the researcher choose?