The following data was collected for the steady flow of water in a concrete circular pipe:
Experiment | Diameter, m | Slope, m/m | Flow, m3/s |
1 | 0.3 | 0.001 | 0.04 |
2 | 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 |
6 | 0.9 | 0.01 | 2.38 |
7 | 0.3 | 0.05 | 0.31 |
8 | 0.6 | 0.05 | 1.95 |
9 | 0.9 | 0.05 | 5.66 |
Use multiple linear regression to fit the following model to this data:
Q = αq Dα1 Sα2
where Q = flow, D = diameter, and S = slope.
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