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 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.