ALRLec9 - 1 Chapter 6 Polynomials and Factors 2 1 2 Y x x e...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1 Chapter 6 Polynomials and Factors 2 1 2 Y x x e β β β = + + + is a quadratic regression. Polynomial regression function of degree d 1 d d Y x x e β β β = + + + + L Second order regression with two predictors 2 2 1 1 2 2 11 1 22 2 12 1 2 Y x x x x x x e β β β β β β = + + + + + + In practice, people seldom fit any polynomial function of degree 3 d > . End effect of polynomial regression Factors Data Weights Gender 76.5 120.5 M 1 Female n Female M 175.6 205.4 M 2 Male n Male M 1 2 n n n + = Gender is a factor. Factors can have two levels: male / female many levels: red, blue, yellow 2 dummy variable: takes value 1 for one of categories and 0 for other categories. 1 1, 0, Gender is female u otherwise = 2 1, 0, Gender is male u otherwise = Linear model 1 1 1 2 2 * * Weights u u e β β = + + Linear model 2 2 2 * Weights u e β β = + + The factor rule: A factor with d levels can be represented by at most d dummy variables. If the intercept is in the mean function, at most dummy variables....
View Full Document

This note was uploaded on 12/12/2010 for the course STAT 425 taught by Professor Ma,p during the Fall '08 term at University of Illinois, Urbana Champaign.

Page1 / 6

ALRLec9 - 1 Chapter 6 Polynomials and Factors 2 1 2 Y x x e...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online