A pump is tested for power required to deliver water at specified height. The results are given in the table below. Use least-squares regression to fit: 1. A straight line 2. A power equation P= a Hb 3. A saturation-growth-rate equation 4. A parabolic equation Plot the data along with all the curves. Determine r2 and Sy/x. Is any one of the curves superior? If so, justify. H 1.1 6.2 12.2 18.4 21.9 28.2 33.9 36.1 44.2 47.3 18 26 34 32 41 37 45 49 95 44

MATLAB: An Introduction with Applications
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A pump is tested for power required to deliver water at specified height. The results are given in the
table below. Use least-squares regression to fit:
1. A straight line
2. A power equation P= a Ho
3. A saturation-growth-rate equation
4. A parabolic equation
Plot the data along with all the curves. Determine r and Sy/x.
Is any one of the curves superior? If so, justify.
H
1.1
6.2
12.2
18.4
21.9
28.2
33.9
36.1
44.2
47.3
P
18
26
34
32
41
37
45
49
95
44
Transcribed Image Text:A pump is tested for power required to deliver water at specified height. The results are given in the table below. Use least-squares regression to fit: 1. A straight line 2. A power equation P= a Ho 3. A saturation-growth-rate equation 4. A parabolic equation Plot the data along with all the curves. Determine r and Sy/x. Is any one of the curves superior? If so, justify. H 1.1 6.2 12.2 18.4 21.9 28.2 33.9 36.1 44.2 47.3 P 18 26 34 32 41 37 45 49 95 44
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