There are two bond markets in general that affect mortgage rates. The first is US government bonds, which help establish a "credit risk free" yield (or rate).
The second is the mortgage bond market. When you get a mortgage, it is put into a pool of other similar mortgages. That pool is then sliced up and sold as bonds to investors. Those bonds trade in a market of their own.
When you hear someone say "the bond market moved" and rates are going Higher/lower, most likely they are referring to the US govt market rates going up or down.
For the record, there is not a 100% correlation between us govt bond rates and mortgage rates. Credit risk, housing market risk, etc will sometimes make morgage rates move more or less than the change in govt bonds. However, there is a positive correlation in general, which means they will usually move in the same direction, though at varying amounts.
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