I’m analyzing a dataset where variable Z is grouped into four levels, and I'm trying to answer the question: "Can we detect any patterns in Z based on how X and Y vary together?" I designed two plots to explore this question: (1) Plot 1 combines a 2D density map with a scatter plot, (2) Plot 2 uses a 2D boxplot. Which one better helps reveal such patterns?
Dear Jochen Wilhelm
Thanks for your comments!
I do not have many data points, so I'm unsure about your suggestions. I am sharing the dataset in the attachment if you want to try plotting it.
I will try this. However, there is one thing that comes to mind: While the z variable's range is 0.0909 - 0.9545, we see that the predicted values in the plot are between 0.25 and 0.75.
Do you have a suggestion to bring these values closer to the true range?
Thanks for such an explanation!
I have tried some other splines and degrees, and they didn't work.
At least I have a plot with a clear interpretation of the relations between the variables.
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