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By various methods of selecting variables, 7 good models are considered with following numerical results: 7. Table 1 Rod 'adj Model Terms R Cp 0.666 0.635 142.5 9.0771 I4 0.675 0.645 138.7 8.9639 3 I1, X2 0.979 0.974 2.7 2.4065 4. X1, X4 0.972 0.967 5.5 2.7343 I1, X2, X3 0.982 0.976 3.0 2.3121 I1, 12, 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 r2 and r4, respectively. If we consider the model with x2 and x4 as independent variables, we have R2 = 0.68, R = 0.616, and s = 9.321. It shows %3D adj that this model is much worse than the model with r1 and r2 and the model with x1 and x4 as independent variables in Table 1. Explain this phenomenon. c) What is Red? Explain. 'pred- d) Do you think Red from model 7 is lower or higher than Red from model 3? Motivate your answer. 'pred 'pred 1.

By various methods of selecting variables, 7 good models are considered with following numerical results: 7. Table 1 Rod 'adj Model Terms R Cp 0.666 0.635 142.5 9.0771 I4 0.675 0.645 138.7 8.9639 3 I1, X2 0.979 0.974 2.7 2.4065 4. X1, X4 0.972 0.967 5.5 2.7343 I1, X2, X3 0.982 0.976 3.0 2.3121 I1, 12, 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 r2 and r4, respectively. If we consider the model with x2 and x4 as independent variables, we have R2 = 0.68, R = 0.616, and s = 9.321. It shows %3D adj that this model is much worse than the model with r1 and r2 and the model with x1 and x4 as independent variables in Table 1. Explain this phenomenon. c) What is Red? Explain. 'pred- d) Do you think Red from model 7 is lower or higher than Red from model 3? Motivate your answer. 'pred 'pred 1.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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By various methods of selecting variables, 7 good models are considered with following numerical results: 7. Table 1 Model Rad Terms R2 Cp 142.5 1 0.666 0.635 9.0771 X4 0.675 0.645 138.7 8.9639 3 X1, 12 0.979 0.974 2.7 2.4065 X1, X4 0.972 0.967 5.5 2.7343 X1, 12, 13 0.982 0.976 3.0 2.3121 X1, 12, 14 0.982 0.976 3.0 2.3087 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 r2 and x4 as independent variables, we have R2 = 0.68, R = 0.616, and s = 9.321. It shows that this model is much worse than the model with r1 and r2 and the model with x1 and x4 as independent variables in Table 1. Explain this phenomenon. c) What is Rrea? Explain. d) Do you think R2ed from model 7 is lower or higher than Rd from model 3? Motivate your answer. pred
Transcribed Image Text:By various methods of selecting variables, 7 good models are considered with following numerical results: 7. Table 1 Model Rad Terms R2 Cp 142.5 1 0.666 0.635 9.0771 X4 0.675 0.645 138.7 8.9639 3 X1, 12 0.979 0.974 2.7 2.4065 X1, X4 0.972 0.967 5.5 2.7343 X1, 12, 13 0.982 0.976 3.0 2.3121 X1, 12, 14 0.982 0.976 3.0 2.3087 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 r2 and x4 as independent variables, we have R2 = 0.68, R = 0.616, and s = 9.321. It shows that this model is much worse than the model with r1 and r2 and the model with x1 and x4 as independent variables in Table 1. Explain this phenomenon. c) What is Rrea? Explain. d) Do you think R2ed from model 7 is lower or higher than Rd from model 3? Motivate your answer. pred
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