Centering versus no centering: interpretation results

What is the meaning of all this? Why center your data if it does not change the relationship between your variables? In other words, if it does not change the final conclusion of your analysis?

The scatterplots in the console illustrate the results of both models: the model without centering(the first plot) and the model with centering (the second plot).

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If you center the data, you change the meaning of the intercept and the scale of the model. The result is the same, but the change of the scale makes the model easier to read and to understand. Also the new meaning of the intercept makes more sense then.
If you center the data, the intercept changes. This does not have a real meaning. The intercept is not important, so it does not matter if you use centered data or not.
I have no idea.

Exercise

Centering versus no centering: interpretation results

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