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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 84E: Explain the differences between Gaussian elimination and Gauss-Jordan elimination.
icon
Related questions
Question
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.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell