The following table shows the observed annual rainfall and the corresponding annual runoff for a small catchment. Develop the rainfall-runoff correlation equation for this catchment and find the correlation coefficient. What annual runoff can be expected from this catchment for an annual rainfall of 100 cm? Year Annual Rainfall (cm) Annual Runoff (cm) Year Annual Rainfall (cm) Annual Runoff (cm) 1964 90.5 30.1 1970 147.6 64.7 1965 1966 111.0 38.7 50.2 5.3 1971 1972 50.9 120.2 6.5 46.1 1967 1968 129.5 145.5 61.5 74.8 1973 1974 90.3 65.2 36.2 24.6 1969 99.8 39.9 1975 75.9 20.0
The following table shows the observed annual rainfall and the corresponding annual runoff for a small catchment. Develop the rainfall-runoff correlation equation for this catchment and find the correlation coefficient. What annual runoff can be expected from this catchment for an annual rainfall of 100 cm? Year Annual Rainfall (cm) Annual Runoff (cm) Year Annual Rainfall (cm) Annual Runoff (cm) 1964 90.5 30.1 1970 147.6 64.7 1965 1966 111.0 38.7 50.2 5.3 1971 1972 50.9 120.2 6.5 46.1 1967 1968 129.5 145.5 61.5 74.8 1973 1974 90.3 65.2 36.2 24.6 1969 99.8 39.9 1975 75.9 20.0
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![The following table shows the observed annual rainfall and the corresponding annual
runoff for a small catchment. Develop the rainfall-runoff correlation equation for this
catchment and find the correlation coefficient. What annual runoff can be expected from
this catchment for an annual rainfall of 100 cm?
Year
Annual Rainfall (cm)
Annual Runoff (cm)
Year
Annual Rainfall (cm)
Annual Runoff (cm)
1964
90.5
30.1
1970
147.6
64.7
1965
1966 1967 1968
1969
111.0
38.7
129.5
145.5
99.8
50.2
5.3
61.5
74.8
39.9
1971 1972
1973
1974 1975
90.3
65.2
75.9
36.2 24.6 20.0
50.9 120.2
6.5
46.1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa5012a3a-6eef-4a3c-ac9d-e8992e714720%2Fe17ce2bd-c198-46e9-a33c-451437f71792%2Frt96m3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The following table shows the observed annual rainfall and the corresponding annual
runoff for a small catchment. Develop the rainfall-runoff correlation equation for this
catchment and find the correlation coefficient. What annual runoff can be expected from
this catchment for an annual rainfall of 100 cm?
Year
Annual Rainfall (cm)
Annual Runoff (cm)
Year
Annual Rainfall (cm)
Annual Runoff (cm)
1964
90.5
30.1
1970
147.6
64.7
1965
1966 1967 1968
1969
111.0
38.7
129.5
145.5
99.8
50.2
5.3
61.5
74.8
39.9
1971 1972
1973
1974 1975
90.3
65.2
75.9
36.2 24.6 20.0
50.9 120.2
6.5
46.1
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