An engineer measures a dependent variable y and independent variables x1, x2,and x3. MINITAB output for the model y = Bo + B1X1 + B2X2 + B3X3 + ɛ is presented as follows. The regression equation is Y= 0.367 + 1.61 xi - 5.51 X2 + 1.27 X3 Predictor Coef SE Coef T P Constant 0.3692 0.92310.400.698 X1 1.6121 1.3395 1.210.254 X2 5.5049 1.4959 3.68 0.004 XЗ 1.2646 1.97600.64 0.537 Of the following, which is the best next step in the analysis? Explain your reasoning. i. Add interaction terms x¡x2 and x2x3 to try to find more variables to put into the model. ii. Add the interaction term x,×3 to try to find another variable to put into the model. iii. Nothing needs to be done. This model is fine. iv. Drop x1 and X3, and then perform an F test. V. Drop x2, and then perform an F test. vi. Drop the intercept (Constant), since it has the largest P-value.
An engineer measures a dependent variable y and independent variables x1, x2,and x3. MINITAB output for the model y = Bo + B1X1 + B2X2 + B3X3 + ɛ is presented as follows. The regression equation is Y= 0.367 + 1.61 xi - 5.51 X2 + 1.27 X3 Predictor Coef SE Coef T P Constant 0.3692 0.92310.400.698 X1 1.6121 1.3395 1.210.254 X2 5.5049 1.4959 3.68 0.004 XЗ 1.2646 1.97600.64 0.537 Of the following, which is the best next step in the analysis? Explain your reasoning. i. Add interaction terms x¡x2 and x2x3 to try to find more variables to put into the model. ii. Add the interaction term x,×3 to try to find another variable to put into the model. iii. Nothing needs to be done. This model is fine. iv. Drop x1 and X3, and then perform an F test. V. Drop x2, and then perform an F test. vi. Drop the intercept (Constant), since it has the largest P-value.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Related questions
Question

Transcribed Image Text:An engineer measures a dependent variable y and independent variables x1, x2,and x3.
MINITAB output for the model y = Bo + B1X1 + B2X2 + B3X3 + ɛ is presented as follows.
The regression equation is
Y= 0.367 + 1.61 xi - 5.51 X2 + 1.27 X3
Predictor Coef SE Coef T P
Constant 0.3692 0.92310.400.698
X1
1.6121 1.3395 1.210.254
X2
5.5049 1.4959 3.68 0.004
XЗ
1.2646 1.97600.64 0.537
Of the following, which is the best next step in the analysis? Explain your reasoning.
i.
Add interaction terms x¡x2 and x2x3 to try to find more variables to put into the model.
ii. Add the interaction term x,×3 to try to find another variable to put into the model.
iii. Nothing needs to be done. This model is fine.
iv. Drop x1 and X3, and then perform an F test.
V.
Drop x2, and then perform an F test.
vi. Drop the intercept (Constant), since it has the largest P-value.
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