choosing Lowesss bandwidth

[Chul Lee]

I have a small data set. I tested Lowess using two different bandwidths, 0.6 and 0.8.
Is there a way to judge which bandwidth is better explaining the relationship between V1 and V2? I understand that this is not a model fitting procedure.
Also, can I pull the mathematical equations so I can see how these graphs are drawn? any return values?
regards,
Chul

* Example generated by -dataex-. For more info, type help dataex
clear
input float(V1 V2)
.7829959 .4631579
.7560192 .4502408
.7296887 .4381169
.7516532 .4533431
.7509184 .4761205
.7464678 .4764521
.7682927 .4784792
 .778659 .4996395
.7199414 .3533724
end

lowess V2 V1, bwidth(0.6)         // bandwidth = 0.6
lowess V2 V1, bwidth(0.8)         // bandwidth = 0.8

[Nick Cox]

As you asked for views, I think the default bandwidth here works as well as you can get.