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1. We assume that the measured quantity y is a linear function of three independent variables, x1, x2, and x3, i.e., y = b + a1x1 + a2x2 + a3x3 Nine data points are measured by setting three levels for each parameter, and the data are placed into a simple data array as shown to Table 1, Calculate the y intercept and the three slopes simultaneously, one slope for each independent variable x1, x2, and x3. Table 1 data array X1 0 0 0 -1 -1 -1 1 1 1 x₂ 0 -1 1 0 -1 1 0 -1 1 X 3 0 0 -1 -1 1 1 0 -1 1 y 10.472 7.253 14.708 9.861 4.374 10.339 12.082 10.678 14.519

1. We assume that the measured quantity y is a linear function of three independent variables, x1, x2, and x3, i.e., y = b + a1x1 + a2x2 + a3x3 Nine data points are measured by setting three levels for each parameter, and the data are placed into a simple data array as shown to Table 1, Calculate the y intercept and the three slopes simultaneously, one slope for each independent variable x1, x2, and x3. Table 1 data array X1 0 0 0 -1 -1 -1 1 1 1 x₂ 0 -1 1 0 -1 1 0 -1 1 X 3 0 0 -1 -1 1 1 0 -1 1 y 10.472 7.253 14.708 9.861 4.374 10.339 12.082 10.678 14.519

Advanced Engineering Mathematics
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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| 1. We assume that the measured quantity y is a linear function of three independent variables, x1, x2, and x3, i.e., y = b + a1x1 + a2x2 + a3x3 Nine data points are measured by setting three levels for each parameter, and the data are placed into a simple data array as shown to Table 1, Calculate the y intercept and the three slopes simultaneously, one slope for each independent variable x1, x2, and x3. Table 1 data array X1 0 0 0 Questions -1 -1 -1 1 1 1 x ₂ 0 -1 1 0 -1 1 0 -1 1 X3 0 0 -1 -1 1 1 0 -1 1 y 10.472 7.253 14.708 9.861 4.374 10.339 12.082 10.678 14.519
Transcribed Image Text:| 1. We assume that the measured quantity y is a linear function of three independent variables, x1, x2, and x3, i.e., y = b + a1x1 + a2x2 + a3x3 Nine data points are measured by setting three levels for each parameter, and the data are placed into a simple data array as shown to Table 1, Calculate the y intercept and the three slopes simultaneously, one slope for each independent variable x1, x2, and x3. Table 1 data array X1 0 0 0 Questions -1 -1 -1 1 1 1 x ₂ 0 -1 1 0 -1 1 0 -1 1 X3 0 0 -1 -1 1 1 0 -1 1 y 10.472 7.253 14.708 9.861 4.374 10.339 12.082 10.678 14.519
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