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How is the estimation affected if we estimate a linear regression (r = 1) when the true form of the regression function is quadratic (r = 2) or cubic (r = 3)?

How is the estimation affected if we estimate a linear regression (r = 1) when the true form of the regression function is quadratic (r = 2) or cubic (r = 3)?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 9E
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How is the estimation affected if we estimate a linear regression (r = 1)
when the true form of the regression function is quadratic (r = 2) or
cubic (r = 3)? 

The polynomial regression model of degree r is given by Y₁ =B₁ + B₁X₁ + B₂X² + ··· + ß₂X{ + Ui.
Transcribed Image Text:The polynomial regression model of degree r is given by Y₁ =B₁ + B₁X₁ + B₂X² + ··· + ß₂X{ + Ui.
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