Frequent disconnects continue after replacing cable modem

Yep.  That's a mess.  Downstream high.  Upstream pushing too much to get out.  Uncorrectable errors all over the place.  You need a tech to check the line out, but in the mean time while you are waiting, take a look here:  https://forums.xfinity.com/conversations/your-home-network/internet-troubleshooting-tips/602dae4ac5375f08cde52ea0

You are looking for splitters, connector problems, bends, kinks in the line.....etc 

I don't have TV service.  So it is only one Comcast device plugged in.

The cable comes in from outside to a closet that splits to each room, but since there is no service connected to other rooms, it just goes has a connector to attach it to the one room with the cable modem.

It could be a problem upstream from your place if your connectors are good.  In that case, you don't pay for the tech visit and it's Xfinity's problem.  I'm surprised it's not spontaneously rebooting all the time from the high upstream.  There is something funky going on.

You probably have to chat with them (autobot) to schedule a tech.  I see they removed their phone number from here:  https://www.xfinity.com/support/internet#get-started

The old modem would freeze and I would need to unplug it and reconnect it several times per week.

This one has still manages to stay online 99% of the time and it resets itself without manual intervention.

I just tried moving the cable modem and router so that I could plug it directly into the line that comes in from outside so that it would not have to pass though multiple cables and another wall jack

This is what it looks like now.  Is this much better or does this indicate that the problem is coming from outside?

What should it look like when it's working well?

After moving it back to the original location it's showing 0s again.  It may just be temporary though.

Better.

From the 1st troubleshooting link above:

Downstream power:

Gateways and EMTAs -7dBmV +7dBmV
Downstream Signal to Noise Ratio 35dB -
Upstream Power Level +35dBmV +50dBmV
Upstream Signal to Noise Ratio 31dB

So, you're a bit high on downstream power.  You also still got un-correctable errors.  A few are OK over time.  You got a lot.  Upstream looks better an isn't pushing into the 55+dBmV range.  

If you still have dropout issues, or your gear is rebooting with just a straight connection, you just have the line in from the street and a connector left for a tech to test.  If it's working fine, then keep an eye on it for a few days.  The values are just a snapshot in time and may vary quite a bit.  You can try taking the connectors apart and scuffing the copper connector up with sand paper a bit to remove oxidation.  Maybe it will clean up.  

Uncorrectables just force a TCP/IP re-transmit.  It's not ideal, but you might not notice anything as a human.  They happen pretty fast. 

*edit: might have crossed in the middle there.  I didn't see the 2nd one.  That one looks better, but let it run over time to see what it says.

The uncorrectables at 0 did not last very long.

I have just sent a direct message to Xfinity Support. 

How do they contact me?

I just rechecked and I see Xfinity Support replied to the message.

It is kind of hard to follow it, when I don't get any kind of notification or email so I know they replied without revisiting the web page to check on it.