Can you explain how it's not working for you? The Group By option will cause the Fit commands to perform one fit for each level of the grouping variable.
I used your data table and and ran Fit Y by X with myX and myY respectively.
![2022-10-07_14-40-23.960.png 2022-10-07_14-40-23.960.png](https://community.jmp.com/t5/image/serverpage/image-id/46125i8E823DF75F5F94A5/image-size/medium?v=v2&px=400)
Then I chose the "Group By..." option from the Bivariate menu and used Name as the Grouping variable.
![2022-10-07_14-41-25.746.png 2022-10-07_14-41-25.746.png](https://community.jmp.com/t5/image/serverpage/image-id/46127i584B98CEC7A6C35F/image-size/medium?v=v2&px=400)
Then fit a line and got this result:
![2022-10-07_14-41-54.477.png 2022-10-07_14-41-54.477.png](https://community.jmp.com/t5/image/serverpage/image-id/46129i43D2DF96413AFDD3/image-size/medium?v=v2&px=400)
-Jeff