What distribution is this?



Hi,

I have a set of variables (x_i,y_i) where x_i >=0, y_i is a real
number.

I believe it follows a distribution of form

y_i = Y + sqrt(x_i) * stdev * Z

where Y is a real number, Z is a normal random variable, with mean 0
and standard deviation 1

For the given set of variables, how do I determine Y, along with
confidence bounds for Y, and a measure of whether or no the
distribution holds?

the following picture might help to describe what I'm doing.

<a href="http://img339.imageshack.us/my.php?image=whatdistnl7.png";
target="_blank"><img src="http://img339.imageshack.us/img339/6609/
whatdistnl7.th.png" border="0" alt="Free Image Hosting at www.ImageShack.us"
/></a>

click here if the above doesn't work

http://img339.imageshack.us/img339/6609/whatdistnl7.th.png

.



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