A study was performed on a type of bearing to find the relationship of amount of weary 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 + ẞ1×11 + ẞ2×2i+ẞ12x11x2i+, 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). (×1.X2), (X2), (X1,X2,X1×2) and compute PRESS, Cp, and s² to determine the "best" model. Compute PRESS for each model. Model PRESS x1 x1,x2 A 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 weary 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 + ẞ1×11 + ẞ2×2i+ẞ12x11x2i+, 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). (×1.X2), (X2), (X1,X2,X1×2) and compute PRESS, Cp, and s² to determine the "best" model. Compute PRESS for each model. Model PRESS x1 x1,x2 A 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

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