CIV E 445 - APPLIED HYDROLOGY
SPRING 2003
DR. VICTOR M. PONCE
HOMEWORK 9, CHAPTER 7

Problem 9-1

Using a spreadsheet, calculate the regression constants, correlation coefficient, and standard error of estimate for the following paired low-flow series (annual minima):

Stream X Stream Y
Flow Flow
(m3/s)(m3/s)
51 67
23 33
75 89
99 76
34 64
50 55
23 50
43 35
88 99
78 54
39 49
66 56
81 92
78 67
20 25

Problem 9-2

Program EH700B (Appendix D) silves the two-predictor-variable nonlinear regression problem (Eq. 7-45). Use this program to determine the regression constants for the following data set:

Y X1 X2
Time of ConcentrationHydraulic LengthCatchment Slope
(min) (m) (m/m)
65 2980 0.007
55 2567 0.009
76 2835 0.011
90 3391 0.008
29 1105 0.018
68 3003 0.009
105 5929 0.005
78 2920 0.011
45 2245 0.015
10 490 0.021
88 3305 0.008
33 1234 0.014

Problem 9-3

Calculate the regression constants a and b (Eq. 7-52) and correlation coefficient (Eq. 7-32) for the following 25-y frequency rainfall data:

Duration (min) 5 10 15 30 60 120 180
Intensity (mm/h)17.5 10.5 7.5 5.5 4.5 3.5 2.5