online regression, one-predictor-variable nonlinear linear regression, Q-H regression, Victor Miguel Ponce, 300 characters in input

onlineregression12c: One-predictor-variable nonlinear regression (max input 3000 characters)    ⇒   rating curve Q = f(H)

Formulas

Q= aH^b         log(Q)= log(a) + b[log(H)]
u= log(H)        v= log(Q)         v= log(a) + bu
v= α + βu         log(a)= α        b= β        a= 10^α
β= [Σ(uv)-(ΣuΣv)/n]/{Σ(u²)-[(Σu)²/n]}
α= [Σv-(βΣu)]/n        Q = 10^αH^β

Reference

Ponce, V. M. 1989. Engineering Hydrology, Principles and Practices. Prentice Hall, page 240.

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 3000 characters).
Q:

H:

ECHO OF INPUT:
n =
Q(1) = .
H(1) = .

OUTPUT:

a =            b =            Q = H



Your request was processed at 04:17:28 am on January 23rd, 2025   [ 250123  04:17:28 ].

Thank you for running onlineregression12c. Please call again. [201004]