A study was performed on a type of bearing to find the relationship of amount of wear y to x₁ = oil viscosity and x2 = load. The accompanying data were obtained. Complete parts (a) and (b) below. Click the icon to view the bearing data. (a) The model y₁ = ẞ0 +ẞ1×1; +ẞ2×2; + B12x1,x2i+, for i = 1, 2, ..., 6 may be considered to describe the data. The X1X2 is an "interaction" term. Fit this model and estimate the parameters. ŷ= 110 + ( 8.896) ×₁ + (0.115) x2 + ( − 0.01038)×1×2 (Round the constant to the nearest integer as needed. Round the x₁x2-coefficient to five decimal places as needed. Round all other coefficients to three decimal places as needed.) (b) Use the models (x1), (X1,X2), (X2), (×1,x2,X1×2) and compute PRESS, Cp, and s² to determine the "best" model. Compute PRESS for each model. Model PRESS X1 x1,x2 x2 X1 X2 X1 X2 ☐ (Round to one decimal place as needed.) Bearing Data y x1 x2 193 1.7 845 175 22.1 1055 112 32.9 1345 235 15.3 822 92 42.7 1199 120 40.1 1116
A study was performed on a type of bearing to find the relationship of amount of wear y to x₁ = oil viscosity and x2 = load. The accompanying data were obtained. Complete parts (a) and (b) below. Click the icon to view the bearing data. (a) The model y₁ = ẞ0 +ẞ1×1; +ẞ2×2; + B12x1,x2i+, for i = 1, 2, ..., 6 may be considered to describe the data. The X1X2 is an "interaction" term. Fit this model and estimate the parameters. ŷ= 110 + ( 8.896) ×₁ + (0.115) x2 + ( − 0.01038)×1×2 (Round the constant to the nearest integer as needed. Round the x₁x2-coefficient to five decimal places as needed. Round all other coefficients to three decimal places as needed.) (b) Use the models (x1), (X1,X2), (X2), (×1,x2,X1×2) and compute PRESS, Cp, and s² to determine the "best" model. Compute PRESS for each model. Model PRESS X1 x1,x2 x2 X1 X2 X1 X2 ☐ (Round to one decimal place as needed.) Bearing Data y x1 x2 193 1.7 845 175 22.1 1055 112 32.9 1345 235 15.3 822 92 42.7 1199 120 40.1 1116
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
100%
I need to compute press, Cp, and s^2 please. Round to one decimal place as needed in final answers
Transcribed Image Text:A study was performed on a type of bearing to find the relationship of amount of wear y to x₁ = oil viscosity and
x2 = load. The accompanying data were obtained. Complete parts (a) and (b) below.
Click the icon to view the bearing data.
(a) The model y₁ = ẞ0 +ẞ1×1; +ẞ2×2; + B12x1,x2i+, for i = 1, 2, ..., 6 may be considered to describe the data. The
X1X2 is an "interaction" term. Fit this model and estimate the parameters.
ŷ= 110 + ( 8.896) ×₁ + (0.115) x2 + ( − 0.01038)×1×2
(Round the constant to the nearest integer as needed. Round the x₁x2-coefficient to five decimal places as needed.
Round all other coefficients to three decimal places as needed.)
(b) Use the models (x1), (X1,X2), (X2), (×1,x2,X1×2) and compute PRESS, Cp, and s² to determine the "best" model.
Compute PRESS for each model.
Model
PRESS
X1
x1,x2
x2
X1 X2 X1 X2
☐
(Round to one decimal place as needed.)
Transcribed Image Text:Bearing Data
y
x1
x2
193
1.7
845
175
22.1
1055
112
32.9
1345
235
15.3
822
92
42.7
1199
120
40.1
1116
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
