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Consulting required: Transformation or other model?
I am examining a dataset of some sales records. According to the Literature in this Field, there are some delayed effects of pricechanges.
To be more specific, the theory says: If Prices are high(er), consumers are more likely to wait and shift there purchasing actions into the future.
Therefore, I calculated the Price of the previous week for every row in the dataset. Following the theory, I would expect a positive sign for the coefficient "price previous week (-->X-axis) ; (Units --> Y-axis)" in a regression model and therefore, a rising regression Line
As you can see in the graph , I am not even close to such results.
I then thought, It would be a good Idea to transform the data and applied logarithms on both factors with the following result :
Now to my actual questions:
Do you have an Idea for how I could transform the data so that I can confirm the theory from the literature?