Elliq, a foot-hight robot that looks like an oval lampshade on a small base, greets Monica Perez first thing in the morning, asks her how she feels, and reminds her about taking medications and any upcoming appointments.  “I have good-quality friends, but there are times when they’re busy and most of them have families,” says Perez, 64, of Beacon, N.Y. “She’s always available, and I love [that] she...

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