Precipitation using Runoff in Straight Line Regression between Runoff and Rainfall Calculator

✖Runoff is usually measured is either seasonal measured or annual measured.ⓘ Runoff [R]			+10% -10%
✖Coefficient 'B' in Straight-line Regression between runoff and rainfall.ⓘ Coefficient 'B' in Straight-line Regression [B]			+10% -10%
✖Coefficient 'a' in straight-line regression between runoff and rainfall. The sum of other coefficients will be unity and found by trial and error.ⓘ Coefficient 'a' [a]			+10% -10%

✖Rainfall is measured here is the annual rainfall in a particular year.ⓘ Precipitation using Runoff in Straight Line Regression between Runoff and Rainfall [P]

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Precipitation using Runoff in Straight Line Regression between Runoff and Rainfall

Formula

`"P" = ("R"-("B"))/"a"`

Example

`"75.31646cm"=("15cm"-("-44.5"))/"0.79"`

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Download Rainfall-Runoff Correlation and Strange's Tables Formulas PDF

Precipitation using Runoff in Straight Line Regression between Runoff and Rainfall Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rainfall = (Runoff-(Coefficient 'B' in Straight-line Regression))/Coefficient 'a'
P = (R-(B))/a
This formula uses 4 Variables

Variables Used

Rainfall - (Measured in Centimeter) - Rainfall is measured here is the annual rainfall in a particular year.
Runoff - (Measured in Centimeter) - Runoff is usually measured is either seasonal measured or annual measured.
Coefficient 'B' in Straight-line Regression - Coefficient 'B' in Straight-line Regression between runoff and rainfall.
Coefficient 'a' - Coefficient 'a' in straight-line regression between runoff and rainfall. The sum of other coefficients will be unity and found by trial and error.

STEP 1: Convert Input(s) to Base Unit

Runoff: 15 Centimeter --> 15 Centimeter No Conversion Required
Coefficient 'B' in Straight-line Regression: -44.5 --> No Conversion Required
Coefficient 'a': 0.79 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (R-(B))/a --> (15-((-44.5)))/0.79

Evaluating ... ...

P = 75.3164556962025

STEP 3: Convert Result to Output's Unit

0.753164556962025 Meter -->75.3164556962025 Centimeter (Check conversion here)

FINAL ANSWER

75.3164556962025 ≈ 75.31646 Centimeter <-- Rainfall

(Calculation completed in 00.004 seconds)

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< 9 Rainfall-Runoff Correlation Calculators

Annual Precipitation in (i-2)th year given Antecedent Precipitation

Go Precipitation in (i-2)th Year = (Antecedent Precipitation Index- Coefficient 'a'*Precipitation in (i)th Year-Coefficient 'b'*Precipitation in (i-1)th Year)/Coefficient 'c'

Annual Precipitation in (i-1)th year given Antecedent Precipitation

Go Precipitation in (i-1)th Year = (Antecedent Precipitation Index-Coefficient 'a'*Precipitation in (i)th Year-Coefficient 'c'*Precipitation in (i-2)th Year)/Coefficient 'b'

Annual Precipitation in i-th year given Antecedent Precipitation

Go Precipitation in (i)th Year = (Antecedent Precipitation Index-Coefficient 'b'*Precipitation in (i-1)th Year-Coefficient 'c'*Precipitation in (i-2)th Year)/Coefficient 'a'

Antecedent Precipitation Index

Go Antecedent Precipitation Index = Coefficient 'a'*Precipitation in (i)th Year+Coefficient 'b'*Precipitation in (i-1)th Year+Coefficient 'c'*Precipitation in (i-2)th Year

Runoff Rainfall Regression by Logarithmic Transformation

Go Runoff = Coefficient m*exp(ln(Rainfall))+exp(ln(Coefficient β))

Precipitation using Runoff in Straight Line Regression between Runoff and Rainfall

Go Rainfall = (Runoff-(Coefficient 'B' in Straight-line Regression))/Coefficient 'a'

Equation of Straight-line Regression between Runoff and Rainfall

Go Runoff = Coefficient 'a'*Rainfall+(Coefficient 'B' in Straight-line Regression)

Precipitation using Runoff from Exponential Relationship

Go Rainfall = (Runoff/Coefficient β)^(1/Coefficient m)

Exponential Relationship for Larger Catchments

Go Runoff = Coefficient β*Rainfall^Coefficient m

Precipitation using Runoff in Straight Line Regression between Runoff and Rainfall Formula

Rainfall = (Runoff-(Coefficient 'B' in Straight-line Regression))/Coefficient 'a'
P = (R-(B))/a

What is Regression Analysis?

Regression Analysis is used to identify factors governing flood generation and routing, and to predict flow volumes and flood peaks as functions of rainfall input and antecedent wetness.

What is Precipitation?

Precipitation is any product of the condensation of atmospheric water vapor that falls under gravitational pull from clouds. The main forms of precipitation include drizzling, rain, sleet, snow, ice pellets, graupel and hail.

How to Calculate Precipitation using Runoff in Straight Line Regression between Runoff and Rainfall?

Precipitation using Runoff in Straight Line Regression between Runoff and Rainfall calculator uses Rainfall = (Runoff-(Coefficient 'B' in Straight-line Regression))/Coefficient 'a' to calculate the Rainfall, The Precipitation using Runoff in Straight Line Regression between Runoff and Rainfall formula is defined as the total downpour for a catchment from regression analysis. Rainfall is denoted by P symbol.

How to calculate Precipitation using Runoff in Straight Line Regression between Runoff and Rainfall using this online calculator? To use this online calculator for Precipitation using Runoff in Straight Line Regression between Runoff and Rainfall, enter Runoff (R), Coefficient 'B' in Straight-line Regression (B) & Coefficient 'a' (a) and hit the calculate button. Here is how the Precipitation using Runoff in Straight Line Regression between Runoff and Rainfall calculation can be explained with given input values -> 7531.646 = (0.15-((-44.5)))/0.79.

FAQ

What is Precipitation using Runoff in Straight Line Regression between Runoff and Rainfall?

The Precipitation using Runoff in Straight Line Regression between Runoff and Rainfall formula is defined as the total downpour for a catchment from regression analysis and is represented as P = (R-(B))/a or Rainfall = (Runoff-(Coefficient 'B' in Straight-line Regression))/Coefficient 'a'. Runoff is usually measured is either seasonal measured or annual measured, Coefficient 'B' in Straight-line Regression between runoff and rainfall & Coefficient 'a' in straight-line regression between runoff and rainfall. The sum of other coefficients will be unity and found by trial and error.

How to calculate Precipitation using Runoff in Straight Line Regression between Runoff and Rainfall?

The Precipitation using Runoff in Straight Line Regression between Runoff and Rainfall formula is defined as the total downpour for a catchment from regression analysis is calculated using Rainfall = (Runoff-(Coefficient 'B' in Straight-line Regression))/Coefficient 'a'. To calculate Precipitation using Runoff in Straight Line Regression between Runoff and Rainfall, you need Runoff (R), Coefficient 'B' in Straight-line Regression (B) & Coefficient 'a' (a). With our tool, you need to enter the respective value for Runoff, Coefficient 'B' in Straight-line Regression & Coefficient 'a' and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Rainfall?

In this formula, Rainfall uses Runoff, Coefficient 'B' in Straight-line Regression & Coefficient 'a'. We can use 1 other way(s) to calculate the same, which is/are as follows -

Rainfall = (Runoff/Coefficient β)^(1/Coefficient m)

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