ZunZun.com. User-Selectable Polynomial. Sat Jan 14 09:49: local server time

Transcription

1 ZunZun.com User-Selectable Polynomial y = a + bx 1 + cx 2 + dx 3 + fx 4 + gx 5 Sat Jan 14 09:49: local server time

2 Coefficients y = a + bx 1 + cx 2 + dx 3 + fx 4 + gx 5 Fitting target of sum of squared absolute error = E-01 a = E-02 b = E-02 c = E-03 d = E-05 f = E-07 g = E-09

3 Coefficient and Fit Statistics From scipy.odr.odrpack and Degrees of freedom (error): Degrees of freedom (regression): 5.0 R-squared: R-squared adjusted: Model F-statistic: Model F-statistic p-value: e-16 Model log-likelihood: AIC: BIC: Root Mean Squared Error (RMSE): a = E-02 std err squared: E-04 t-stat: E+00 p-stat: E-06 95% confidence intervals: [ E-01, E-02] b = E-02 std err squared: E-06 t-stat: E+01 p-stat: E+00 95% confidence intervals: [ E-02, E-02] c = E-03 std err squared: E-08 t-stat: E+01 p-stat: E+00 95% confidence intervals: [ E-03, E-03] d = E-05 std err squared: E-12 t-stat: E+01 p-stat: E+00 95% confidence intervals: [ E-05, E-05] f = E-07 std err squared: E-16 t-stat: E+01 p-stat: E+00 95% confidence intervals: [ E-07, E-07] g = E-09 std err squared: E-21 t-stat: E+01 p-stat: E+00 95% confidence intervals: [ E-09, E-09] Coefficient Covariance Matrix [ e e e e e e-10] [ e e e e e e-10] [ e e e e e e-12] [ e e e e e e-13] [ e e e e e e-15] [ e e e e e e-18]

4 Error Statistics Absolute Error Relative Error Minimum: E E+02 Maximum: E E+01 Mean: E E+00 Std. Error of Mean: E E+00 Median: E E-04 Variance: E E+02 Standard Deviation: E E+01 Pop. Variance (N-1): E E+02 Pop. Std Dev (N-1): E E+01 Variation: E E+01 Skew: E E+00 Kurtosis: E E+01

5 Data Statistics X Y Minimum: E E-04 Maximum: E E+01 Mean: E E+00 Std. Error of Mean: E E-01 Median: E E-01 Variance: E E+02 Standard Deviation: E E+01 Pop. Variance (N-1): E E+02 Pop. Std Dev (N-1): E E+01 Variation: E E+00 Skew: E E+00 Kurtosis: E E+00

6 Source Code in C++ // To the best of my knowledge this code is correct. // If you find any errors or problems please contact // me at // James #include // sum of squared absolute error double Polynomial2D_model(double x_in) { double temp; temp = 0.0; // coefficients double a = E-02; double b = E-02; double c = E-03; double d = E-05; double f = E-07; double g = E-09; } temp = g; temp = temp * x_in + f; temp = temp * x_in + d; temp = temp * x_in + c; temp = temp * x_in + b; temp = temp * x_in + a; return temp;

7 Source Code in Java // To the best of my knowledge this code is correct. // If you find any errors or problems please contact // me at // James import java.lang.math; // sum of squared absolute error class Polynomial2D { double Polynomial2D_model(double x_in) { double temp; temp = 0.0; // coefficients double a = E-02; double b = E-02; double c = E-03; double d = E-05; double f = E-07; double g = E-09; } } temp = g; temp = temp * x_in + f; temp = temp * x_in + d; temp = temp * x_in + c; temp = temp * x_in + b; temp = temp * x_in + a; return temp;

8 Source Code in Python # To the best of my knowledge this code is correct. # If you find any errors or problems please contact # me at zunzun@zunzun.com. # James import math # sum of squared absolute error def Polynomial2D_model(x_in): temp = 0.0 # coefficients a = E-02 b = E-02 c = E-03 d = E-05 f = E-07 g = E-09 temp = g temp = temp * x_in + f temp = temp * x_in + d temp = temp * x_in + c temp = temp * x_in + b temp = temp * x_in + a return temp

9 Source Code in C# // To the best of my knowledge this code is correct. // If you find any errors or problems please contact // me at // James using System; // sum of squared absolute error class Polynomial2D { double Polynomial2D_model(double x_in) { double temp; temp = 0.0; // coefficients double a = E-02; double b = E-02; double c = E-03; double d = E-05; double f = E-07; double g = E-09; } } temp = g; temp = temp * x_in + f; temp = temp * x_in + d; temp = temp * x_in + c; temp = temp * x_in + b; temp = temp * x_in + a; return temp;

10 Source Code in SCILAB // To the best of my knowledge this code is correct. // If you find any errors or problems please contact // me at // James // sum of squared absolute error function y=polynomial2d_model(x_in) temp = 0.0 // coefficients a = E-02 b = E-02 c = E-03 d = E-05 f = E-07 g = E-09 temp = g temp = temp * x_in + f temp = temp * x_in + d temp = temp * x_in + c temp = temp * x_in + b temp = temp * x_in + a y = temp endfunction

11 Source Code in MATLAB % To the best of my knowledge this code is correct. % If you find any errors or problems please contact % me at zunzun@zunzun.com. % James % sum of squared absolute error function y=polynomial2d_model(x_in) temp = 0.0; % coefficients a = E-02; b = E-02; c = E-03; d = E-05; f = E-07; g = E-09; temp = g; temp = temp.* x_in + f; temp = temp.* x_in + d; temp = temp.* x_in + c; temp = temp.* x_in + b; temp = temp.* x_in + a; y = temp;

12 Source Code in VBA ' To the best of my knowledge this code is correct. ' If you find any errors or problems please contact ' me at ' James ' sum of squared absolute error Public Function Polynomial2D_model(x_in) temp = 0.0 ' coefficients a = E-02 b = E-02 c = E-03 d = E-05 f = E-07 g = E-09 temp = g temp = temp * x_in + f temp = temp * x_in + d temp = temp * x_in + c temp = temp * x_in + b temp = temp * x_in + a Polynomial2D_model = temp End Function

13 Histogram of X data

14 Histogram of Y data

15 Histogram of Absolute Error

16 Histogram of Relative Error

17 Histogram of Percent Error

18 Absolute Error vs. X data

19 Absolute Error vs. Y data

20 Relative Error vs. X data

21 Relative Error vs. Y data

22 Percent Error vs. X data

23 Percent Error vs. Y data

24 Y data vs. X data with model

25 X data vs. Y data with model

26 Psalm 147:1-6 Praise ye the LORD: for it is good to sing praises unto our God; for it is pleasant; and praise is comely. The LORD doth build up Jerusalem: he gathereth together the outcasts of Israel. He healeth the broken in heart, and bindeth up their wounds. He telleth the number of the stars; he calleth them all by their names. Great is our Lord, and of great power: his understanding is infinite. The LORD lifteth up the meek: he casteth the wicked down to the ground. Read or search the King James Bible online at