The following complete 2nd-order model is proposed to estimate the sales price of a single family home on the size of the house (x-) and the neighbourhood is located in (x2): E(y) = Bo + B1x1 + B2x1 + B3x2 + B4x1x2 + B5x1²x2. What hypotlesis should be tested to determine if the quadratic terms are necessary to predict the sales price of 2 %3D a home?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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The following complete 2nd-order model is proposed to estimate the sales price of a
single family home on the size of the house (x1) and the neighbourhood is located in
(x2): E(y) = Bo + B1x1 + B2x12 + B3x2 + B4x1x2 + B5x12x2. What hypothesis should be
tested to determine if the quadratic terms are necessary to predict the sales price of
a home?
Ho: B1 = B2 = B3 = B4 = B5 = 0
%3D
O Ho: B1 = B2 = B3 = 0
Ho: B1 = B3 = B4 = 0
%3D
%3D
O Ho: B2 = B5 = 0
Transcribed Image Text:The following complete 2nd-order model is proposed to estimate the sales price of a single family home on the size of the house (x1) and the neighbourhood is located in (x2): E(y) = Bo + B1x1 + B2x12 + B3x2 + B4x1x2 + B5x12x2. What hypothesis should be tested to determine if the quadratic terms are necessary to predict the sales price of a home? Ho: B1 = B2 = B3 = B4 = B5 = 0 %3D O Ho: B1 = B2 = B3 = 0 Ho: B1 = B3 = B4 = 0 %3D %3D O Ho: B2 = B5 = 0
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