log-linear-regression.wxm

/* [wxMaxima batch file version 1] [ DO NOT EDIT BY HAND! ]*/
/* [ Created with wxMaxima version 12.04.0 ] */

/* [wxMaxima: title   start ]
Log-Linear Regression
   [wxMaxima: title   end   ] */

/* [wxMaxima: comment start ]
results from estimating pi by direct sampling
   [wxMaxima: comment end   ] */

/* [wxMaxima: input   start ] */
load("stats");
/* [wxMaxima: input   end   ] */

/* [wxMaxima: input   start ] */
fpprintprec:4;
/* [wxMaxima: input   end   ] */

/* [wxMaxima: input   start ] */
results: matrix([16,0.4011045171719132],
     [32, 0.29173894153773655], 
     [64, 0.20954052655952435],
     [128, 0.14034222257337572],
     [256, 0.10400845603616682],
     [512, 0.0722539344836887],
     [1024, 0.05231897416617325],
     [2048, 0.0355351494833818],
     [4096, 0.026774930122339013]);
/* [wxMaxima: input   end   ] */

/* [wxMaxima: input   start ] */
lr:float(log(results));
/* [wxMaxima: input   end   ] */

/* [wxMaxima: input   start ] */
mod: linear_regression(lr);
/* [wxMaxima: input   end   ] */

/* [wxMaxima: input   start ] */
/* explicit expression of the regression line */
y: take_inference('b_estimation, mod) . [1,'x];
/* [wxMaxima: input   end   ] */

/* [wxMaxima: input   start ] */
/* plot data and regression line */
wxdraw2d(grid = true,
       points(lr),
       color = black,
       explicit(y, x,2,9) ) $
/* [wxMaxima: input   end   ] */

/* [wxMaxima: input   start ] */
/* coefficients */
coef: take_inference('b_estimation, mod);
coef[1];
coef[2];
/* [wxMaxima: input   end   ] */

/* [wxMaxima: input   start ] */
/* confidence interval for b_1 */
take_inference('b_conf_int, mod)[2];
/* [wxMaxima: input   end   ] */

/* [wxMaxima: input   start ] */
/* critical probability for test of independece */
take_inference('b_p_values, mod)[2];
/* [wxMaxima: input   end   ] */

/* Maxima can't load/batch files which end with a comment! */
"Created with wxMaxima"$