Re: sweet taters... there's nothing like trying.
At my house, leaving the taters on the kitchen table (or where ever) causes vines to form on the taters. Those vines (when long enough) can be plucked off and potted / or placed in a vase of water... they grow roots, and can then be planted.
Prolly should wait until danger of frost is past...
I've seen those missed sweet taters survive the winter in the deep south, and send up greenery in the spring.
Those vines can be cut back and rooted... leaving part of the vine to continue growth.
Sweet tater vines root easily... I've found that simply digging a hole and planting an unrooted vine suffices...