========== [ex1] Exercice 1, une loi jointe à la main
somme 
    1 
[1] 0.3 0.4 0.3
[1] 0.25 0.50 0.25
  Ex Varx   Eu 
 2.0  2.4  0.0 
[1] -0.3333  0.0000  0.3333
[1] 0
[1] 0.4
[1]  7.6667 10.0000 12.3333
  pente formule 
 1.1667  1.1667 
[1] 1.8889 2.0000 1.8889
      [,1] [,2]  [,3]
[1,] 0.075 0.15 0.075
[2,] 0.100 0.20 0.100
[3,] 0.075 0.15 0.075
[1] 0 0 0

========== [ex1-simul] Exercice 1, la pente des MCO sur des échantillons tirés
      moyenne sept_sixiemes 
       1.1662        1.1667

========== [ex2] Exercice 2, la pente des extrêmes
extremes      mco 
    0.75     0.80 
var_extremes      var_mco          SCT        borne 
     0.03125      0.02500     40.00000     32.00000 
[1] 0.9982 0.9977
[1] 0.0316 0.0254

========== [ex3] Exercice 3, table de régression, NBASAL
[1] "wage ~ points"
            Estimate Std. Error Pr(>|t|)
(Intercept) 287.1008    92.1367    0.002
points      111.3302     7.8166    0.000
     R2   sigma 
  0.432 755.069 
[1] "points ~ exper"
            Estimate Std. Error Pr(>|t|)
(Intercept)   8.5282     0.6405   0.0000
exper         0.3286     0.1043   0.0018
   R2 sigma 
0.036 5.805 
[1] "wage ~ exper"
            Estimate Std. Error Pr(>|t|)
(Intercept) 807.9317   100.8472        0
exper       120.3166    16.4199        0
     R2   sigma 
  0.167 913.956 
  [1.2,5.4]   (5.4,9.3]  (9.3,14.2] (14.2,29.8] 
        567         762         839         814 
     SCT        s 
9331.191    5.901 
[1] 1400.4 2513.7

========== [ex5-depart] Exercice 5, charger les données HTV
      wage             educ            abil        
 Min.   : 1.024   Min.   : 6.00   Min.   :-5.6315  
 1st Qu.: 7.942   1st Qu.:12.00   1st Qu.: 0.5662  
 Median :11.543   Median :12.00   Median : 2.1498  
 Mean   :13.288   Mean   :13.04   Mean   : 1.7966  
 3rd Qu.:16.026   3rd Qu.:15.00   3rd Qu.: 3.4615  
 Max.   :91.309   Max.   :20.00   Max.   : 6.2637

========== [ex5-mco] Exercice 5, MCO, sigma chapeau et erreur-type
            Estimate Std. Error
(Intercept)  -4.8574     1.3601
educ          1.3918     0.1027
[1] 0.1302
[1] 1230
          SCR sigma_chapeau      SCT_educ         se_b1 
   88173.7727        8.4737     6812.2797        0.1027

========== [ex5-residus] Exercice 5, résidus et dispersion
            ecart_type   n
12 ou moins       6.33 698
13 ou 14          6.37 160
15 ou plus       12.03 372

========== [ex5-simul] Exercice 5, la population des 1 230 hommes
moyenne_pentes     pente_1230 
         1.412          1.392 
ecart_type_pentes        moyenne_se 
            0.510             0.357

========== [ex5-abil] Exercice 5, l'aptitude, un facteur de u observé ici
educ_abil wage_abil 
    0.594     0.282 
FALSE  TRUE 
 1.11  3.38
