In Harper Lee's To Kill a Mockingbird, why might Dill want Boo to come out and ''sit a spell with us''—and what does it have to do with his lies?

In Harper Lee's To Kill a
Mockingbird, it is understandable that Dill might want Boo Radley to come out
and visit with them to feel better because Dill is a lonely child himself—this is why he
tells so many "tall tales" (lies)—so that he can get some
attention.

It seems that Dill's mother has remarried and
the fact that Dill is able to spend the summer in Maycomb indicates either that his
mother has no one to care for him when he is out of school, or that it is difficult
having him around and easier to send him away—especially in light of a marriage to
someone not used to having kids around. Dill has lots of stories to tell, including some
about his dad, but Scout is aware that he makes up a lot of what he
says.

Additionally, with Dill's imagination, the idea of
the mysterious Boo coming out to spend time with them appeals based on the plots and
stories they make up: it's like something out of a mystery book. The children don't know
it, but Boo would be extremely comfortable in their company, rather than that of adults.
At the same time, they have built up such a frightening image of Boo based on the gossip
they have heard, that it is hard to imagine how they would act if they all came
face-to-face with him.

Dill's motivation, it would seem, is
to provide companionship to someone he believes is as lonely as he
is.