How to find this regression line by adding new columns to the table?

[#1]

Thanks!

dt=Open("$SAMPLE_DATA/Big Class.jmp");
Graph Builder(
	Variables( X( Transform Column( "Row", Formula( Row() ) ) ), Y( :height ) ),
	Elements( Points( X, Y, Legend( 3 ) ), Smoother( X, Y, Legend( 4 ) ) )
)

[#2]

[#3]

I tried, it needs to be saved like this when there is a drawing.

How can this column of data be calculated directly in the form of a formula without drawing a picture?

Thanks Experts!

[#4]

Maybe one of the spline related matrix functions would work?

[#5]

Thank jthi !
I don't know how to search for documents