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The polynomial regression model of degree r is given by Y₁ =B₁ + B₁X₁ + B₂X² + ... + ³₂X² + U₁. Interpret the coefficient 3, in a linear regression (r = 1): Y = Bot Bi Xit and in a quadratic regression (r = 2): Y₁ =B₁ + B₁X₁ + B₂X² + U₁. 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 + ... + ³₂X² + U₁. Interpret the coefficient 3, in a linear regression (r = 1): Y = Bot Bi Xit and in a quadratic regression (r = 2): Y₁ =B₁ + B₁X₁ + B₂X² + U₁. 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)?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The polynomial regression model of degree r is given by Y₁ =B₁ + B₁X₁ + ß₂X² + ··· + ß„X{ + Uj. Interpret the coefficient 3₁ in a linear regression (r = 1): Yi Bo + B₁X₁ + Uj and in a quadratic regression (r = 2): Y₁ = B₁ + B₁X₁ + B₂X² + U₂. 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)?
Transcribed Image Text:The polynomial regression model of degree r is given by Y₁ =B₁ + B₁X₁ + ß₂X² + ··· + ß„X{ + Uj. Interpret the coefficient 3₁ in a linear regression (r = 1): Yi Bo + B₁X₁ + Uj and in a quadratic regression (r = 2): Y₁ = B₁ + B₁X₁ + B₂X² + U₂. 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)?
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