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In reg_simple, reg_simple_arrow, and other fitting apps, the squared errors/the arrows turn green when we tune the sliders to the parameters from the DGP, not from the regression on the randomly drawn sample.
Example:
In reg_simple, the parameters of the DGP a = -2 and b = 1.5 make the squared errors turn green, but we get a lower sum of squared errors with a = -1.4 and b = 1.3, as they fit better the randomly drawn sample.