I do not find a way in spss how I can see the non-linear regression graph. I would like to see how well my data points fit the specifiied hyperbolic function in a graph.
If this is a one-time job that you're happy to do manually, double-click the scatter-plot to open the chart editor, and poke around to find the options that allow you to fit linear, quadratic, cubic fits etc, or the one that allows you to add a "reference line from an equation". On the other hand, if you want it to be generated via syntax, you'll find some options in the SPSSX-L thread linked below. HTH.