For a typical catchment, the following precipitation and corresponding runoff data were observed; Mean annual rainfall (mm) Mean annual runoff (mm) 374 420 643 537 452 717 428 682 863 658 492 478 883 551 565 830 Year 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 1188 1213 1612 1443 1203 1590 1200 1533 1575 1480 1178 1223 1540 1165 1271 1440 A. Develop a simple linear rainfall-runoff model. 1. Calculate the regression coefficients a and b using the established equations and express the rainfall-runoff relationship in linear form. 2. Verify your solution using excel spreadsheet B. Estimate goodness-of-fit criteria for the model developed in terms of: 1. Coefficient of determination (r²) 2. Coefficient of correlation (r)

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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For a typical catchment, the following precipitation and corresponding runoff data were observed;
Year
Mean annual rainfall (mm) Mean annual runoff(mm)
1990
1188
374
1991
1213
420
1992
1612
643
1993
1443
537
1994
1203
452
1995
1590
717
1996
1200
428
1997
1533
682
1998
1575
863
1999
1480
658
2000
1178
492
2001
1223
478
2002
1540
883
2003
1165
551
2004
1271
565
2005
1440
830
A. Develop a simple linear rainfall-runoff model.
1. Calculate the regression coefficients a and b using the established equations and express the rainfall-runoff relationship in
linear form.
2. Verify your solution using excel spreadsheet
B. Estimate goodness-of-fit criteria for the model developed in terms of:
1. Coefficient of determination (r2)
2. Coefficient of correlation (r)
Transcribed Image Text:For a typical catchment, the following precipitation and corresponding runoff data were observed; Year Mean annual rainfall (mm) Mean annual runoff(mm) 1990 1188 374 1991 1213 420 1992 1612 643 1993 1443 537 1994 1203 452 1995 1590 717 1996 1200 428 1997 1533 682 1998 1575 863 1999 1480 658 2000 1178 492 2001 1223 478 2002 1540 883 2003 1165 551 2004 1271 565 2005 1440 830 A. Develop a simple linear rainfall-runoff model. 1. Calculate the regression coefficients a and b using the established equations and express the rainfall-runoff relationship in linear form. 2. Verify your solution using excel spreadsheet B. Estimate goodness-of-fit criteria for the model developed in terms of: 1. Coefficient of determination (r2) 2. Coefficient of correlation (r)
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