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The polynomial regression model of degree r is given by Yį = B₁ + B₁X₁ + ß₂X² + ··· + ß₂X{ + U₂. (a) Interpret the coefficient 3₁ in a linear regression (r = 1): Y = 3o+ BiXi t and in a quadratic regression (r = 2): Y₁ = B₁ + B₁X₁ + ß₂X² + U₂.

The polynomial regression model of degree r is given by Yį = B₁ + B₁X₁ + ß₂X² + ··· + ß₂X{ + U₂. (a) Interpret the coefficient 3₁ in a linear regression (r = 1): Y = 3o+ BiXi t and in a quadratic regression (r = 2): Y₁ = B₁ + B₁X₁ + ß₂X² + U₂.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 76E
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The polynomial regression model of degree r is given by Y₁ =B₁ + B₁X₁ + ß₂X? + ··· + ß₂X{ + U₁. (a) Interpret the coefficient 3₁ in a linear regression (r = 1): Yi Bo + B₁Xi + Ui and in a quadratic regression (r = 2): Y₁ = B₁ + B₁X₁ + ³₂X² + Uj.
Transcribed Image Text:The polynomial regression model of degree r is given by Y₁ =B₁ + B₁X₁ + ß₂X? + ··· + ß₂X{ + U₁. (a) Interpret the coefficient 3₁ in a linear regression (r = 1): Yi Bo + B₁Xi + Ui and in a quadratic regression (r = 2): Y₁ = B₁ + B₁X₁ + ³₂X² + Uj.
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