onlineregression11:   One-predictor-variable linear regression   ⇒   y = f(x)

Formulas

β = [Σ(xy)-(ΣxΣy)/n]/{Σ(x2)-[(Σx)2/n]}

α = [Σy-(βΣx)]/n

Reference

Ponce, V. M. 1989. Engineering Hydrology, Principles and Practices. Prentice Hall, pages 239-241.
Example
INPUT DATA:

Enter array size n:     

Enter paired values of arrays y and x (separate each value with a comma; maximum string length is 300 characters).

y:     

x:     

ECHO OF INPUT:

n =  

y(1) =  .   

x(1) =  .   

OUTPUT:

α =       β =       standard deviation sx =       standard deviation sy =

Correlation coeficient r =       standard error of estimate se =

            

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online calc
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C1 wsprofile H2 wsprofile A2 wsprofile C3 wsprofile H3 wsprofile A3 wsprofile
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ogee spillway Hazen-Williams parallel pipes three reservoirs tractive force
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Gumbel Gumbel 2 Log Pearson Log Pearson 2 TR-55 graphical curve number
Overland flow using the diffusion wave method Dynamic hydraulic diffusivity convolution S-hydrograph time of concentration water balance
UH cascade dimensionless UH cascade general UH cascade series UH cascade all series UH cascade
one-predictor linear one-predictor nonlinear two-predictor linear two-predictor nonlinear hyperbolic regression
fall velocity Lane & Koelzer USLE USLE2 Dendy-Bolton Shields
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Modified Einstein Procedure bridge scour using Melville equation
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