For steady-state water flow in a circular pipe made of concrete The following data have been collected: PIPE DIAMETER m/s SLOPE 0.001 EXPERIMENT VOLUMETRIC 1 0,3 0.04 0.6 0,001 0.24 3 0.9 0.001 0.69 4 0,3 0.01 0,13 5 0.6 0.01 0.82 0.9 0.01 2.38 0,3 0.05 0,31 7 0.6 0.05 0.05 1.95 5.66 0.9

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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For steady-state water flow in a circular pipe made of concrete The
following data have been collected:
PIPE DIAMETER
0.3
EXPERIMENT
SLOPE
m/s
VOLUMETRIC
1
0.001
0.04
2
0,6
0,.001
0,24
0.9
0,001
0,69
4
0.3
0,01
0,13
0.6
0,01
0.82
6.
0,9
0,01
2,38
7
0,3
0.05
0,31
8.
0.6
0.05
1.95
0,9
0.05
5.66
Determine the parameters (a0, a1 and a2) in the equation for the relation between
Volumetric flow, Slope and Pipe Diameter using nonLinear Regression analysis
Q = a,Dª S°:
Transcribed Image Text:For steady-state water flow in a circular pipe made of concrete The following data have been collected: PIPE DIAMETER 0.3 EXPERIMENT SLOPE m/s VOLUMETRIC 1 0.001 0.04 2 0,6 0,.001 0,24 0.9 0,001 0,69 4 0.3 0,01 0,13 0.6 0,01 0.82 6. 0,9 0,01 2,38 7 0,3 0.05 0,31 8. 0.6 0.05 1.95 0,9 0.05 5.66 Determine the parameters (a0, a1 and a2) in the equation for the relation between Volumetric flow, Slope and Pipe Diameter using nonLinear Regression analysis Q = a,Dª S°:
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