(b) Compute R,². The adjusted multiple coefficient of determination is denoted by R. This adjusted value takes into consideration the number of independent variables used in the model. It is calculated as follows using the multiple coefficient of determination R2 where n is the number of observations and p is the number of independent variables. Note that it is possible for R, to take on negative values. n - 1 R,2 = 1 - (1 - R2)( п — р — 1 The estimated regression equation given below was constructed from 30 observations, so n = = 17.6 + 3.8x, – 2.3x2 + 7.6x3 + 2.7x4 The independent variables are denoted by This equation has independent variables, so p =

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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Step 2
(b) Compute R,".
The adjusted multiple coefficient of determination is denoted by R. This adjusted value takes into
consideration the number of independent variables used in the model. It is calculated as follows using the
multiple coefficient of determination R2 where n is the number of observations and p is the number of
independent variables. Note that it is possible for R to take on negative values.
2
a
2
1
R3 = 1 - (1 – R?)
%3D
n - p
1
The estimated regression equation given below was constructed from 30 observations, so
n =
ŷ = 17.6 + 3.8x, - 2.3x2 + 7.6x3 + 2.7x4
%3D
The independent variables are denoted by x;. This equation has
independent variables, so
p =
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Transcribed Image Text:Step 2 (b) Compute R,". The adjusted multiple coefficient of determination is denoted by R. This adjusted value takes into consideration the number of independent variables used in the model. It is calculated as follows using the multiple coefficient of determination R2 where n is the number of observations and p is the number of independent variables. Note that it is possible for R to take on negative values. 2 a 2 1 R3 = 1 - (1 – R?) %3D n - p 1 The estimated regression equation given below was constructed from 30 observations, so n = ŷ = 17.6 + 3.8x, - 2.3x2 + 7.6x3 + 2.7x4 %3D The independent variables are denoted by x;. This equation has independent variables, so p = Submit Skip (you cannot come back)
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