I guess, what is meant by (I could be wrong though) is the joint probability distribution of X and Y which would look something like this but centered at the origin and there would be a surface where the height represents the probability density. (Also, ignore that the ellipse in this visualization is oddly rotated.) The contour lines are the ellipses you get by slicing the surface with a horizontal plane.
That picture helps.
Clarification: Now after step 3;
Tangent in which plane? (I worked it out)
turns out I didn’t know what, ” contour line” or precisely what “tangent” meant. (I guess I am rusty on my math)
Given that X and Y are values of unknown magnitudes; is this possible? (I suspect if I think about it for a day it will come to me)
I guess, what is meant by (I could be wrong though) is the joint probability distribution of X and Y which would look something like this but centered at the origin and there would be a surface where the height represents the probability density. (Also, ignore that the ellipse in this visualization is oddly rotated.) The contour lines are the ellipses you get by slicing the surface with a horizontal plane.
That picture helps. Clarification: Now after step 3; Tangent in which plane? (I worked it out) turns out I didn’t know what, ” contour line” or precisely what “tangent” meant. (I guess I am rusty on my math)
Given that X and Y are values of unknown magnitudes; is this possible? (I suspect if I think about it for a day it will come to me)