7) Use computer software to find the best multiple regression equation to explain the variation in the dependent variable, Y, in terms of the independent variables, X1, X2, X3. 7)_ х, X2 98.6 101.2 87.4 97.6 108.5 110.1 102.4 96.7 110.4 CORRELATION COEFFICIENTS 100.9 98.2 104.3 Y/ X1 = 0.850 Y/ X2 = 0.742 102.3 99.8 107.2 101.5 100.5 105.8 101.6 103.2 107.8 101.6 107.8 103.4 99.8 96.6 102.7 88.9 COEFFICIENT OF DETERMINATION 100.3 104.1 YI X1 = 0.723 Y/ X2 = 0.550 YI X1, X2 = 0.867 99.2 %3D 97.6 75.1 97.2 76.9 99.7 97.3 84.6 102.0 96.0 90.6 94.3 99.2 103.1 97.7 100.3 105.1 101.1 102.3 100.3 96.4 104.1 104.4 104.4 105.3 110.7 108.5 107.6 127.1 111.3 B) Ý = 58.9+0.612X1 A) Ý = 57.6+0.153X, +0.270X2 C) Ý = 52.6+0.462X2 %3D D) Ý = 48.0+0.398X, +0.228X2 %3D

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 12CR
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7) Use computer software to find the best multiple regression equation to explain the variation in
the dependent variable, Y, in terms of the independent variables, X1, X2, X3.
7)_
х,
X2
98.6
101.2
87.4
97.6
108.5
110.1
102.4
96.7
110.4
CORRELATION COEFFICIENTS
100.9
98.2
104.3
Y/ X1 = 0.850
Y/ X2 = 0.742
102.3
99.8
107.2
101.5 100.5 105.8
101.6 103.2
107.8
101.6 107.8
103.4
99.8 96.6 102.7
88.9
COEFFICIENT OF DETERMINATION
100.3
104.1
YI X1 = 0.723
Y/ X2 = 0.550
YI X1, X2 = 0.867
99.2
%3D
97.6 75.1
97.2
76.9 99.7
97.3
84.6 102.0
96.0
90.6
94.3
99.2
103.1 97.7
100.3 105.1 101.1
102.3
100.3 96.4
104.1 104.4 104.4
105.3 110.7 108.5
107.6 127.1 111.3
B) Ý = 58.9+0.612X1
A) Ý = 57.6+0.153X, +0.270X2
C) Ý = 52.6+0.462X2
%3D
D) Ý = 48.0+0.398X, +0.228X2
%3D
Transcribed Image Text:7) Use computer software to find the best multiple regression equation to explain the variation in the dependent variable, Y, in terms of the independent variables, X1, X2, X3. 7)_ х, X2 98.6 101.2 87.4 97.6 108.5 110.1 102.4 96.7 110.4 CORRELATION COEFFICIENTS 100.9 98.2 104.3 Y/ X1 = 0.850 Y/ X2 = 0.742 102.3 99.8 107.2 101.5 100.5 105.8 101.6 103.2 107.8 101.6 107.8 103.4 99.8 96.6 102.7 88.9 COEFFICIENT OF DETERMINATION 100.3 104.1 YI X1 = 0.723 Y/ X2 = 0.550 YI X1, X2 = 0.867 99.2 %3D 97.6 75.1 97.2 76.9 99.7 97.3 84.6 102.0 96.0 90.6 94.3 99.2 103.1 97.7 100.3 105.1 101.1 102.3 100.3 96.4 104.1 104.4 104.4 105.3 110.7 108.5 107.6 127.1 111.3 B) Ý = 58.9+0.612X1 A) Ý = 57.6+0.153X, +0.270X2 C) Ý = 52.6+0.462X2 %3D D) Ý = 48.0+0.398X, +0.228X2 %3D
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