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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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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a) b) c)
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?
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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