Components Panel in SAS Proc Adaptivereg (SAS EG 7.13 HF4)

[davis]

Good afternoon,

I need a hand with the appropriate interpretation of the components panel in SAS/STAT 15.1 User's Guide The ADAPTIVEREG
Procedure.  

In Chapter 25 of this Guide on page 1,000, Figure 25.8 titled 'Component Panel 1' displays four component panels (see attached GIF File).  The accompanying text of figure is as follows: "The component panels (Figure 25.8 and Figure 25.9) display the fitted functional components against their forming variables."

Questions:

1. What is the actual interpretation of '... fitted functional component...'?

2. What is the actual interpretation of '... forming variables ...'?

3. One panel in Figure 25.8 describes a decreasing bivariate relationship between f(horsepower) and horsepower and a kink in this relationship where horsepower=100.  I assume the kink represents a slope change at horsepower=100.

However, (3a) what is the appropriate interpretation of the downward bivariate relationship between the fitted functional component of horsepower and horsepower and (3b) what does this relationship imply?

Assistance would be most appreciated.

Thanks.

[WarrenKuhfeld · Accepted solution]

You might find my SAS GF paper with Weijie Cai helpful.

http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.306.8445&rep=rep1&type=pdf

[davis]

Thanks! I received an email a little ways back indicating that you had planned to retire. Have I been misinformed? I hope so!

[WarrenKuhfeld]

My last day was Dec 31, 2018. I am happily retired!