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Feb 22, 2021 at 1:25 comment added bill999 I appreciate it.
Feb 21, 2021 at 16:58 comment added EdM @bill999 added a bit to the end to address that. Remember that in forming C_S you didn't just center C but you also scaled by the standard deviation. So the coefficients associated with C (both on its own and in the interaction) differ from those associated with C_S, just like coefficients for a distance measured in miles would differ from those for the same distance measured in millimeters.
Feb 21, 2021 at 16:55 history edited EdM CC BY-SA 4.0
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Feb 21, 2021 at 4:46 comment added bill999 Would you also mind including the interpretations of the interaction terms for Model 0 vs. Model 2? This will help me determine which of the two models makes most sense in my application. No worries if not as you have already answered the original question.
Feb 21, 2021 at 4:06 comment added bill999 This helps a ton. Thanks!
Feb 21, 2021 at 1:52 vote accept bill999
Feb 20, 2021 at 19:21 history answered EdM CC BY-SA 4.0