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Chapter 12: Q142SE (page 807)

Consider relating E(y) to two quantitative independent variables x1 and x2.

  1. Write a first-order model for E(y).

  2. Write a complete second-order model for E(y).

Short Answer

Expert verified

  1. A first-order model for E(y) with two quantitative variables x1 and x2 can be written asEy=β0+β1x1+β2x2+ε.

  2. A Second-order model for E(y) with two quantitative variables x1 and x2 can be written as Ey=β0+β1x1+β2x2+β3x12+β4x22+ε

Step by step solution

01

First-order model for E(y)

A first-order model for E(y) with two quantitative variables x1 and x2 can be written asEy=β0+β1x1+β2x2+ε.

02

Second-order model for E(y)

A Second-order model for E(y) with two quantitative variables x1 and x2 can be written as Ey=β0+β1x1+β2x2+β3x12+β4x22+ε.

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