onlineregression12:   One-predictor-variable nonlinear regression (max input 3000 characters)    ⇒   y = f(x) Formulas y= axb         log(y)= log(a) + b[log(x)] u= log(x)        v= log(y)         v= log(a) + bu v= α + βu         log(a)= α        b= β        a= 10α β= [Σ(uv)-(ΣuΣv)/n]/{Σ(u2)-[(Σu)2/n]} α= [Σv-(βΣu)]/n        y = 10αxβ 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). y:      x:      ECHO OF INPUT: Warning: Undefined variable $number in /var/www/html/ponce/onlineregression12b.php on line 203 n =   Warning: Undefined variable $number in /var/www/html/ponce/onlineregression12b.php on line 205 Warning: Undefined variable $j in /var/www/html/ponce/onlineregression12b.php on line 211 Warning: Undefined variable $yvar in /var/www/html/ponce/onlineregression12b.php on line 212 Warning: Trying to access array offset on null in /var/www/html/ponce/onlineregression12b.php on line 212 y(1) =  .    Warning: Undefined variable $number in /var/www/html/ponce/onlineregression12b.php on line 215 Warning: Undefined variable $j in /var/www/html/ponce/onlineregression12b.php on line 221 Warning: Undefined variable $xvar in /var/www/html/ponce/onlineregression12b.php on line 222 Warning: Trying to access array offset on null in /var/www/html/ponce/onlineregression12b.php on line 222 x(1) =  .    OUTPUT: a = Warning: Undefined variable $acoef in /var/www/html/ponce/onlineregression12b.php on line 229 Deprecated: substr(): Passing null to parameter #1 ($string) of type string is deprecated in /var/www/html/ponce/onlineregression12b.php on line 229            b = Warning: Undefined variable $beta in /var/www/html/ponce/onlineregression12b.php on line 229 Deprecated: substr(): Passing null to parameter #1 ($string) of type string is deprecated in /var/www/html/ponce/onlineregression12b.php on line 229            y = Warning: Undefined variable $acoef in /var/www/html/ponce/onlineregression12b.php on line 230 Deprecated: substr(): Passing null to parameter #1 ($string) of type string is deprecated in /var/www/html/ponce/onlineregression12b.php on line 230 x Warning: Undefined variable $beta in /var/www/html/ponce/onlineregression12b.php on line 230 Deprecated: substr(): Passing null to parameter #1 ($string) of type string is deprecated in /var/www/html/ponce/onlineregression12b.php on line 230   Your request was processed at  10:43:38 pm on April 3rd, 2025   [ 250403  22:43:38 ]. Thank you for running onlineregression12b.   Please call again.   [201004]