--- You wrote:
On 28 Mar 2000 07:15:35 -0800, [EMAIL PROTECTED] (dennis roberts) wrote:
> here is a contest question: best answer wins something ... what? i have no idea
>
> what would be a good VERBAL description of the bivariate normal
> distribution ... as the population rho between X and Y goes from 0 to 1?
> (and, in this description, indicate in particular what it would look like
> if rho = 0 AND if rho = 1
I'll take a shot, going from 1 to 0 is easier for me {and I'm not sure if this is
verbal enough}...
Take a thin, circular plate that is opaque in the center and gradually becomes more
transparent near the edge. Hold it between your forefingers so you see only the
edge; that's the distribution where rho=1. With your thumb, slowly tip the front edge
of the plate away from you, the plate area you see increasing is the distribution as
rho decreases toward 0. When the area you see is a full circle, that's the
distribution when rho=0. Transparency indicates relatively fewer points, opacity
indicates relatively more points.
rick barton
===========================================================================
This list is open to everyone. Occasionally, less thoughtful
people send inappropriate messages. Please DO NOT COMPLAIN TO
THE POSTMASTER about these messages because the postmaster has no
way of controlling them, and excessive complaints will result in
termination of the list.
For information about this list, including information about the
problem of inappropriate messages and information about how to
unsubscribe, please see the web page at
http://jse.stat.ncsu.edu/
===========================================================================
