a) Choose the 'best' model from the above 7 models and give a suitable reason. b) The first two models in Table 1 are first two best models with one independent variable x2 and x4, respectively. If we consider the model with x2 and r4 as independent variables, we have R = 0.68, R2 = 0.616, and s = 9.321. It shows adj that this model is much worse than the model with a1 and x2 and the model with x1 and a4 as independent variables in Table 1. Explain this phenomenon. c) What is Rred? Explain.
a) Choose the 'best' model from the above 7 models and give a suitable reason. b) The first two models in Table 1 are first two best models with one independent variable x2 and x4, respectively. If we consider the model with x2 and r4 as independent variables, we have R = 0.68, R2 = 0.616, and s = 9.321. It shows adj that this model is much worse than the model with a1 and x2 and the model with x1 and a4 as independent variables in Table 1. Explain this phenomenon. c) What is Rred? Explain.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
a)
b)
c)
Transcribed Image Text:11:45 4月25日周一
1 66%
T
+ :
By various methods of selecting variables, 7 good models are considered with
following numerical results:
7.
Table 1
R2
Radi
Cp
Model Terms
1
x2
0.666
0.635
142.5
9.0771
X4
0.675
0.645
138.7
8.9639
3
0.979
0.974
2.7
2.4065
X1, X2
X1, X4
4
0.972
0.967
5.5
2.7343
X1, x2, X3
0.982
0.976
3.0
2.3121
X1, X2, X4
0.982
0.976
3.0
2.3087
7
X1,..., X4
0.982
0.974
5.0
2.4460
a) Choose the 'best' model from the above 7 models and give a suitable reason.
b) The first two models in Table 1 are first two best models with one independent
variable x2 and x4, respectively. If we consider the model with x2 and x4 as
independent variables, we have R = 0.68, R = 0.616, and s = 9.321. It shows
that this model is much worse than the model with a1 and x2 and the model with
x1 and x4 as independent variables in Table 1. Explain this phenomenon.
c) What is Rred? Explain.
3
d) Do you think Red from model 7 is lower or higher than Rred
Motivate your answer.
from model 3?
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