how can I find the New Y values (interpolated) for the New X intervals?

Old X Old Y New X New Y
0 0 0
0.897015035 0.372797284 0.31872
1.894999743 0.392320007 0.61752
2.894030094 0.39562251 0.93624
3.893069506 0.424510878 1.23504
4.891999722 0.41820862 1.55376
5.891999722 0.403709534 1.91232
6.886000156 0.421691582 2.21112
7.883167744 0.412349313 2.52984
8.879207611 0.393380159 2.8884
9.875999451 0.380329266 3.22704
10.87272739 0.366702414 3.54576
11.86868763 0.358443418 3.90432


Regards
Sathya