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(a) At a stream gauging station, the following discharges and stage measurements were taken for the purpose of the rating curve at that section:
Stage (m)
1.81
2.00
2.30
2.90
3.70
4.50
5.40
6.10
7.30
7.70
8.10
Discharge (m3/s)
1.00
1.50
2.55
5.60
11.70
20.20
32.50
44.50
70.00
80.00
90.00
Derive the stage-discharge relationship of the form, Q = K (h - a)n where Q is the discharge, h is the stage, K and n are parameters to be determined. From the derived rating curve calculate the discharge for the stages of 4.9 m and 11.5 m
(b) The following data were obtained by stream gauging of a river at another station that experiences rising and falling stages:
Main gauge staff reading (m)
11.00
Auxiliary gauge staff reading (m)
10.55
10.05
Discharge (m3 / s)
8.60
14.10
What should be the discharge when the main gauge reads 11 m and the auxiliary gauge reads 10.25 m ?
The data in the data frame asset are from Myers (1990), \Classical and Modern Regression with Applications (Second Edition)," Duxbury. The response y here is rm return on assets f
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