Does it matter which dwellers you breed?

[JIRACHI]

Will the baby have better abilities if its parents do?

[B✪✪tsy]

Only dwellers with full maxed 'special' stats have a chance to produce a baby with good stats as well. With the normall dwellers it doesn't really matter. If you have parents with 1 or 2 good stats the baby might get 1 extra special points on those stats.

[Ryuu]

Not exactly, not only, but mostly them and for them the chance is maximized: https://github.com/therabidsquirel/The-Fallout-Shelter-FAQ/wiki/Section-5:-Breeding
And it's not 1 special point, it's much more. But still the chance is low.

Also all children have the best stat as parents had(or one of them if there are several candidates).

[Dancing Rain]

I've tried to produce babies with dwellers whose SPECIAL was all fully on max, but they produced a pretty average kid, so I don't believe it depends on it

[Ryuu]

Originally posted by Cathz:

I've tried to produce babies with dwellers whose SPECIAL was all fully on max, but they produced a pretty average kid, so I don't believe it depends on it

It's not a 100% guarantee for superchild, see the linked guide.
Overall pet with effect +3 Child SPECIAL is far better choice. Though you can combine it with superparents and then some children would have 10 in some stats right from the birth.

[nozwizard]

ehm. i also wanna add this: dwellers must be lvl50 to produce bonus stats babies. result will be either 1 of those three (with 2 lvl50 and full stats point parents -70 point total for each parent. note: outfits does not effects)
1-total 40 stats point
2-24 stat points baby
3-13 stats total baby

also i found to produce legendary baby (40 total stats points) not rare. sometimes 1 or 2 (40 stat points) and 4 to 5 (24 stat points babies) in 20 babies. sometimes more. but in my experience it more than above estimate. ( last time i produce 6 babies. 1 was (40) 2 was (24) 3 was (13) stats.

i use +3 special pet also so , as a result 3 babie come with at least 3 stats allready 10 and couple of stats come with 8.

its probably written in web link at Ryuu post. (i didnt read all)

[Ryuu]

Originally posted by nozwizard:

dwellers must be lvl50 to produce bonus stats babies.

False.

its probably written in web link at Ryuu post. (i didnt read all)

Yeah, it does. Dwellers levels don't affect breeding in any way, no inheritance of any kind.
Even hair color affects the offspring, but level does not.

But you're right - outfits and weapons and pets(except pets exclusive for pregnancy) don't have any effect.