(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 =

(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

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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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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