I have a strong regression trend but would like some additional information related to causality. I believe the X is "largely" the independant variable however based on deep domain knowledge and because the trend line is asymetric (inverse relationship in negative X territory). If the Y was the independant variable, the regression trend would be linear throughout.
Causality in both directions is supported by the fact that a polynomial trend seems to have a nice fit.
Question - Is there a way (method) to quantify the nature of the two variables having causality in both directions?
Follow-up Question - Can you quantify the nature of the "dual-direction-causality" by measuring the extent to which the polynomial trend line is pulled away from the original hypothesis line (asymimetric line) towards the null hypothesis (linear line)?
(See attached file #3 which include edits)
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