# Regressions to Tubes (Version 1)

- Author:
- Tim Brzezinski

- Topic:
- Algebra, Geometry, Solids or 3D Shapes, Surface

Below, we have a function drawn in the (shaded) xy-plane.
You can move the

**LARGE POINTS**anywhere you'd like within Q1 & Q2. The**n**slider alters the degree of the polynomial The**ra**slider changes the radius of the tube. This polynomial regression curve has been rotated 90 degrees about the xAxis. Cross sections of this tube and any plane parallel to the yz-plane (x = 0) are circles of radius**ra**. Slide the**MoveMe**slider to observe this cross section.