Consider the model Y = Bo + B₁X₁ + B₂X2 + B3X3 + B₁X₁ + €. If it is suggested to you that the two variables Z₁ = X₁ + X3 and Z2 = X₂ + X₁ might be adequate to represent the data, what hypothesis, in the form C3 = 0, would you need to test? (Give the form of C.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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Consider the model Y = ß0 + B₁X1 + ß₂X2 + B3X³ + B4X4 + €. If it is suggested
to you that the two variables Z₁ = X₁ + X3 and Z2 = X₂ + X4 might be adequate
to represent the data, what hypothesis, in the form C3 = 0, would you need to test?
(Give the form of C.)
Transcribed Image Text:Consider the model Y = ß0 + B₁X1 + ß₂X2 + B3X³ + B4X4 + €. If it is suggested to you that the two variables Z₁ = X₁ + X3 and Z2 = X₂ + X4 might be adequate to represent the data, what hypothesis, in the form C3 = 0, would you need to test? (Give the form of C.)
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