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Variables in Equation min(t) RMS Ср P AIC X1X2X3 X4 X5 0.353 1293.875 6 6 387.594 X1X2X4X5 0.544 X1X2X5 1.532 1259.545 4.124845 5 385.742 1233.471 2.412902 4 384.0811 X2X5 X2 1.473 1281 2.651615 3 384.6191 7.970 1322.667 2.801058 2 384.906 (a) If the stopping rule is that the minimum absolute T-test is greater than 1.5, write down the models we have from the backward elimination. Among the models we have, which model you prefer the most based on AIC. (b) Find the Mallow's C values for the following models: (1) Y ~ X₁ + X2 + X5 and (2) Y ~ X2+ X5. Explain which model you prefer the most. (c) Calculate SSE and BIC for (1) Y ~ X₁ + X2 + X3+ X4 + X5 and (2) Y ~ X₁ + X2 + X4 + X5. Q7 (6 points) Through the model Y = Bo+B₁X1+ ẞ2X2 + ß3X3 + ẞ4X4 + ẞ5 X5 + ẞß6X6 + ɛ. A set of 38 observations on (X1, X2,, X5, Y) is available and backward elimination procedure have been run; see the following table.

Variables in Equation min(t) RMS Ср P AIC X1X2X3 X4 X5 0.353 1293.875 6 6 387.594 X1X2X4X5 0.544 X1X2X5 1.532 1259.545 4.124845 5 385.742 1233.471 2.412902 4 384.0811 X2X5 X2 1.473 1281 2.651615 3 384.6191 7.970 1322.667 2.801058 2 384.906 (a) If the stopping rule is that the minimum absolute T-test is greater than 1.5, write down the models we have from the backward elimination. Among the models we have, which model you prefer the most based on AIC. (b) Find the Mallow's C values for the following models: (1) Y ~ X₁ + X2 + X5 and (2) Y ~ X2+ X5. Explain which model you prefer the most. (c) Calculate SSE and BIC for (1) Y ~ X₁ + X2 + X3+ X4 + X5 and (2) Y ~ X₁ + X2 + X4 + X5. Q7 (6 points) Through the model Y = Bo+B₁X1+ ẞ2X2 + ß3X3 + ẞ4X4 + ẞ5 X5 + ẞß6X6 + ɛ. A set of 38 observations on (X1, X2,, X5, Y) is available and backward elimination procedure have been run; see the following table.

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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Variables in Equation min(t) RMS Ср P AIC X1X2X3 X4 X5 0.353 1293.875 6 6 387.594 X1X2X4X5 0.544 X1X2X5 1.532 1259.545 4.124845 5 385.742 1233.471 2.412902 4 384.0811 X2X5 X2 1.473 1281 2.651615 3 384.6191 7.970 1322.667 2.801058 2 384.906 (a) If the stopping rule is that the minimum absolute T-test is greater than 1.5, write down the models we have from the backward elimination. Among the models we have, which model you prefer the most based on AIC. (b) Find the Mallow's C values for the following models: (1) Y ~ X₁ + X2 + X5 and (2) Y ~ X2+ X5. Explain which model you prefer the most. (c) Calculate SSE and BIC for (1) Y ~ X₁ + X2 + X3+ X4 + X5 and (2) Y ~ X₁ + X2 + X4 + X5.
Transcribed Image Text:Variables in Equation min(t) RMS Ср P AIC X1X2X3 X4 X5 0.353 1293.875 6 6 387.594 X1X2X4X5 0.544 X1X2X5 1.532 1259.545 4.124845 5 385.742 1233.471 2.412902 4 384.0811 X2X5 X2 1.473 1281 2.651615 3 384.6191 7.970 1322.667 2.801058 2 384.906 (a) If the stopping rule is that the minimum absolute T-test is greater than 1.5, write down the models we have from the backward elimination. Among the models we have, which model you prefer the most based on AIC. (b) Find the Mallow's C values for the following models: (1) Y ~ X₁ + X2 + X5 and (2) Y ~ X2+ X5. Explain which model you prefer the most. (c) Calculate SSE and BIC for (1) Y ~ X₁ + X2 + X3+ X4 + X5 and (2) Y ~ X₁ + X2 + X4 + X5.
Q7 (6 points) Through the model Y = Bo+B₁X1+ ẞ2X2 + ß3X3 + ẞ4X4 + ẞ5 X5 + ẞß6X6 + ɛ. A set of 38 observations on (X1, X2,, X5, Y) is available and backward elimination procedure have been run; see the following table.
Transcribed Image Text:Q7 (6 points) Through the model Y = Bo+B₁X1+ ẞ2X2 + ß3X3 + ẞ4X4 + ẞ5 X5 + ẞß6X6 + ɛ. A set of 38 observations on (X1, X2,, X5, Y) is available and backward elimination procedure have been run; see the following table.
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