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Equation of Straight-line Regression between Runoff and Rainfall Formula

GoExponential Relationship for Larger Catchments Formula

GoRunoff Rainfall Regression by Logarithmic Transformation Formula

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Runoff is usually measured is either seasonal measured or annual measured. Check FAQs

R = a \cdot P + (B)

R - Runoff?a - Coefficient 'a'?P - Rainfall?B - Coefficient 'B' in Straight-line Regression?

Equation of Straight-line Regression between Runoff and Rainfall Example

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Here is how the Equation of Straight-line Regression between Runoff and Rainfall equation looks like with Values.

Here is how the Equation of Straight-line Regression between Runoff and Rainfall equation looks like with Units.

Here is how the Equation of Straight-line Regression between Runoff and Rainfall equation looks like.

14.75 = 0.79 \cdot 75 + (-44.5)

14.75cm = 0.79 \cdot 75cm + (-44.5)

14.75 = 0.79 \cdot 75 + (-44.5)

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Equation of Straight-line Regression between Runoff and Rainfall Solution

Follow our step by step solution on how to calculate Equation of Straight-line Regression between Runoff and Rainfall?

FIRST Step Consider the formula

R = a \cdot P + (B)

Next Step Substitute values of Variables

∴

R = 0.79 \cdot 75cm + (-44.5)

Next Step Prepare to Evaluate

∴

R = 0.79 \cdot 75 + (-44.5)

Next Step Evaluate

∴

R = 0.1475m

LAST Step Convert to Output's Unit

∴

R = 14.75cm

Equation of Straight-line Regression between Runoff and Rainfall Formula Elements

Variables

Runoff

Runoff is usually measured is either seasonal measured or annual measured.

Symbol: R

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Runoff

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.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Coefficient 'a'

Rainfall

Rainfall is measured here is the annual rainfall in a particular year.

Symbol: P

Measurement: LengthUnit: cm

Note: Value should be greater than 0.

Formulas to find Rainfall

Coefficient 'B' in Straight-line Regression

Coefficient 'B' in Straight-line Regression between runoff and rainfall.

Symbol: B

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Coefficient 'B' in Straight-line Regression

Other Formulas to find Runoff

Go Exponential Relationship for Larger Catchments

R = β \cdot P^{m}

Go Runoff Rainfall Regression by Logarithmic Transformation

R = m \cdot \exp (\ln (P)) + \exp (\ln (β))

Other formulas in Rainfall Runoff Correlation category

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

P (i-2) = \frac{P a - a \cdot P i - b \cdot P (i-1)}{c}

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

P (i-1) = \frac{P a - a \cdot P i - c \cdot P (i-2)}{b}

Go Annual Precipitation in i-th year given Antecedent Precipitation

P i = \frac{P a - b \cdot P (i-1) - c \cdot P (i-2)}{a}

Go Precipitation using Runoff from Exponential Relationship

P = {(\frac{R}{β})}^{\frac{1}{m}}

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

Equation of Straight-line Regression between Runoff and Rainfall evaluator uses Runoff = Coefficient 'a'*Rainfall+(Coefficient 'B' in Straight-line Regression) to evaluate 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 evaluate Equation of Straight-line Regression between Runoff and Rainfall using this online evaluator? To use this online evaluator 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.

FAQs on Equation of Straight-line Regression between Runoff and Rainfall

What is the formula to find Equation of Straight-line Regression between Runoff and Rainfall?

The formula of Equation of Straight-line Regression between Runoff and Rainfall is expressed as Runoff = Coefficient 'a'*Rainfall+(Coefficient 'B' in Straight-line Regression). Here is an example- 1475 = 0.79*0.75+((-44.5)).

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

With Coefficient 'a' (a), Rainfall (P) & Coefficient 'B' in Straight-line Regression (B) we can find Equation of Straight-line Regression between Runoff and Rainfall using the formula - Runoff = Coefficient 'a'*Rainfall+(Coefficient 'B' in Straight-line Regression).

What are the other ways to Calculate Runoff?

Here are the different ways to Calculate Runoff-

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

Can the Equation of Straight-line Regression between Runoff and Rainfall be negative?

No, the Equation of Straight-line Regression between Runoff and Rainfall, measured in Length cannot be negative.

Which unit is used to measure Equation of Straight-line Regression between Runoff and Rainfall?

Equation of Straight-line Regression between Runoff and Rainfall is usually measured using the Centimeter[cm] for Length. Meter[cm], Millimeter[cm], Kilometer[cm] are the few other units in which Equation of Straight-line Regression between Runoff and Rainfall can be measured.

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