Equation of Straight-line Regression between Runoff and Rainfall Calculator

✖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.ⓘ Rainfall [P]			+10% -10%
✖Coefficient 'B' in Straight-line Regression between runoff and rainfall.ⓘ Coefficient 'B' in Straight-line Regression [B]			+10% -10%

✖Runoff is usually measured is either seasonal measured or annual measured.ⓘ Equation of Straight-line Regression between Runoff and Rainfall [R]

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Equation of Straight-line Regression between Runoff and Rainfall Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Runoff - (Measured in Centimeter) - Runoff is usually measured is either seasonal measured or annual measured.
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.
Rainfall - (Measured in Centimeter) - Rainfall is measured here is the annual rainfall in a particular year.
Coefficient 'B' in Straight-line Regression - Coefficient 'B' in Straight-line Regression between runoff and rainfall.

STEP 1: Convert Input(s) to Base Unit

Coefficient 'a': 0.79 --> No Conversion Required
Rainfall: 75 Centimeter --> 75 Centimeter No Conversion Required
Coefficient 'B' in Straight-line Regression: -44.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = a*P+(B) --> 0.79*75+((-44.5))

Evaluating ... ...

R = 14.75

STEP 3: Convert Result to Output's Unit

0.1475 Meter -->14.75 Centimeter (Check conversion here)

FINAL ANSWER

14.75 Centimeter <-- Runoff

(Calculation completed in 00.021 seconds)

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< Rainfall Runoff Correlation Calculators

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

LaTeX 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

LaTeX 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

LaTeX 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'

Precipitation using Runoff from Exponential Relationship

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

Equation of Straight-line Regression between Runoff and Rainfall Formula

LaTeX Go

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

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 Runoff?

Runoff can be described as the part of the water cycle that flows over land as surface water instead of being absorbed into groundwater or evaporating. According to the U.S. Geological Survey (USGS), runoff is that part of the precipitation, snow melt, or irrigation water that appears in uncontrolled surface streams, rivers, drains, or sewers.

How to Calculate Equation of Straight-line Regression between Runoff and Rainfall?

Equation of Straight-line Regression between Runoff and Rainfall calculator uses Runoff = Coefficient 'a'*Rainfall+(Coefficient 'B' in Straight-line Regression) to calculate the Runoff, The Equation of Straight-line Regression between Runoff and Rainfall formula is defined as the dynamic interaction between rain intensity, soil infiltration and surface storage. Runoff is denoted by R symbol.

How to calculate Equation of Straight-line Regression between Runoff and Rainfall using this online calculator? To use this online calculator for Equation of Straight-line Regression between Runoff and Rainfall, enter Coefficient 'a' (a), Rainfall (P) & Coefficient 'B' in Straight-line Regression (B) and hit the calculate button. Here is how the Equation of Straight-line Regression between Runoff and Rainfall calculation can be explained with given input values -> 1475 = 0.79*0.75+((-44.5)).

FAQ

What is Equation of Straight-line Regression between Runoff and Rainfall?

The Equation of Straight-line Regression between Runoff and Rainfall formula is defined as the dynamic interaction between rain intensity, soil infiltration and surface storage and is represented as R = a*P+(B) or Runoff = Coefficient 'a'*Rainfall+(Coefficient 'B' in Straight-line Regression). Coefficient 'a' in straight-line regression between runoff and rainfall. The sum of other coefficients will be unity and found by trial and error, Rainfall is measured here is the annual rainfall in a particular year & Coefficient 'B' in Straight-line Regression between runoff and rainfall.

How to calculate Equation of Straight-line Regression between Runoff and Rainfall?

The Equation of Straight-line Regression between Runoff and Rainfall formula is defined as the dynamic interaction between rain intensity, soil infiltration and surface storage is calculated using Runoff = Coefficient 'a'*Rainfall+(Coefficient 'B' in Straight-line Regression). To calculate Equation of Straight-line Regression between Runoff and Rainfall, you need Coefficient 'a' (a), Rainfall (P) & Coefficient 'B' in Straight-line Regression (B). With our tool, you need to enter the respective value for Coefficient 'a', Rainfall & Coefficient 'B' in Straight-line Regression 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 Runoff?

In this formula, Runoff uses Coefficient 'a', Rainfall & Coefficient 'B' in Straight-line Regression. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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