It seems to me that you can plot them wherever you want to, so this is really a question of aesthetics more than anything else. Or is there some actual consequence that follows from one or another answer to this question?
Yes, very familiar with complex numbers, thanks. But, I repeat, you can plot what you want however you want; the question is whether it’s helpful, and that will depend on the application. (Suppose the values taken by your dependent variable are all on the circle of radius 1/sqrt(2) centred at (1+i)/2. Then plotting 0, 1, and i collinearly may make a whole lot of sense, though you might actually want to call them −3pi/4, -pi/4 and pi/4 respectively.)
(Suppose the values taken by your dependent variable are all on the circle of radius 1/sqrt(2) centred at (1+i)/2. Then plotting 0, 1, and i collinearly may make a whole lot of sense, though you might actually want to call them −3pi/4, -pi/4 and pi/4 respectively.)
I reluctantly concede the point, but firmly maintain that calling them −3pi/4, -pi/4 and pi/4 respectively would make a lot more sense.
It seems to me that you can plot them wherever you want to, so this is really a question of aesthetics more than anything else. Or is there some actual consequence that follows from one or another answer to this question?
...it would be a bit like plotting 0, 1 and i colinearly. (I assume you’re familiar with complex numbers?)
Yes, very familiar with complex numbers, thanks. But, I repeat, you can plot what you want however you want; the question is whether it’s helpful, and that will depend on the application. (Suppose the values taken by your dependent variable are all on the circle of radius 1/sqrt(2) centred at (1+i)/2. Then plotting 0, 1, and i collinearly may make a whole lot of sense, though you might actually want to call them −3pi/4, -pi/4 and pi/4 respectively.)
I reluctantly concede the point, but firmly maintain that calling them −3pi/4, -pi/4 and pi/4 respectively would make a lot more sense.