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I am learning this post.

The author says

By using a model with three variables instead of one, we get to a model with a mean squared error of 19.12 and an R² score of 0.72. That’s definitely a nice improvement!

"to" could be used as preposition, so "get to a model" seems to be grammatical.

why do people say "get to a model" instead of "get a model"?

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Using "to" emphasizes that a new model with a lower error and higher R² score was reached, a sort of accomplishment has occurred. The sentence works fine if the "to" was deleted, it slightly changes the meaning to mean "the result of the modification"

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Using to emphasises that this is a refinement of a previous model.

We have come from a model with one variable and we go to a model with three. It adds the sense that we have reached the improved model.

It would be possible to say "we get a model with three variables", and if the idea of "refining from a previous model" was not needed, this would be the normal way of saying it.

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We get a model uses a metaphor of "get" = "acquire", and says nothing about the circumstances of the acquisition.

We get to a model uses a different metaphor of "get to" = "reach, attain a destination", and implies that acquiring the model is the end-point of a journey.

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As mentioned by Colin Fine, "get to" implies motion towards some goal, but the first clause doesn't provide any action; it assumes we are already using the model we are supposedly moving towards. I would write one of the following to be consistent:

  • "By adding two variables to our model, we get to a model ..." That is, we started with a one-variable model, and the act of adding two variables moved us to a model with the new properties.

  • "By using a model with three variables instead of one, we have a model with ..." That is, we don't dwell on "how" we arrived a three-variable model; we have one, and we state what its desirable properties are.

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