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Calculate Adjusted Scales

It's important to understand how rstanarm calculates adjusted scales for prior distributions, as priors can have a large impact on our estimates if not used in an appropriate manner. Calculate what the adjusted scales should be using the already loaded songs data.

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Calculate the adjusted scale of the intercept.
Calculate the adjusted scale of the song_age.
What would be the adjusted scale of valence if it were in the model?

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