That last line accurately sums up every infant I've ever had in my charge. Not sure what pattern you could discern from graphing all of this data, if my experiences are any guide it would make for one hell of a random number generator. I doubt one can find a better entropy source than a newborns sleeping "schedule". ;)
Newborns are the most fragile thing on earth, and every parent knows it. If a device helps showing a pattern, good!
I have a two-year old daughter. From the first night, we monitored her breathing using one of those boards you put under the mattress. While this will never prevent a baby from dying, it will alert a parent when a baby has stopped breathing, so CPR can be applied and 911 called. It might just save the life of a baby. We have had a few actual alarms*, which were later attributed by the pediatrician to the low timeout on the device: it screams after 20 seconds without movement. Apparently, my little girl would sometime just stop breathing for a short while if she was in a very deep sleep. She hated the thing, and as soon as she was physically able, she would just shut the thing down on her own (quite funny to see on the cam, those little fingers slowing finding the button).
When my daughter was 6 months old, friends became parent of a baby girl. During the first night in the hospital, that girl actually stopped breathing, turned blue and was subsequently resuscitated. After a week in NICU she was released. Needless to say, our friends immediately purchased the same device that I used.
One can argue that these devices have little use other than helping parents sleep, knowing they'd be alarmed if something happens. Even if that's the case, trust me, it is money well spent. As a new parent, there are a ton of things that you'll be concerned about and this just helps easy your mind.
* The amount of alarms we've had because my wife took her out of the crib for nursing and forgot to turn the damn thing off.. Well... That's a bit higher.