'My People' in the Bible

“For this is the covenant that I will make with the house of IsraelAfter those days, says the Lord:I will imprint My laws upon their minds [even upon their innermost thoughts and understanding],And engrave them upon their hearts [effecting their regeneration].And I will be their God,And they shall be My people.

[Jer. 31:33f], "The Lord says, this is the Agreement I will make with them [i.e., with my people] after those days. I will put my laws in their hearts and I will write them on their minds." Then He said,