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{SECT 0 {EXCHG {PARA 256 "" 0 "" {TEXT 256 84 "R\351mi SOUVETON - A1\n
Math\351matiques Assist\351es par Ordinateur\n(MAO)\nTh\350me 05 - 07/
03/07\n" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{SECT 0 
{PARA 3 "" 0 "" {TEXT -1 18 "Lecture de fichier" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 96 "chemin := \"C:/MAPLEV6/Users/souveton/MAO\";\n
nom := \"Theme05.txt\";\nnomLong := cat(chemin,\"/\",nom);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%'cheminGQ>C:/MAPLEV6/Users/souveton/MAO6\"
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$nomGQ,Theme05.txt6\"" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%(nomLongGQJC:/MAPLEV6/Users/souveton/MAO/T
heme05.txt6\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "fichier :=
 fopen(nomLong,READ);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%(fichierG\"
\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "fscanf(fichier,\"%[^
;]\");" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7#Q]pNom|*Superficie~(km|]v)
|*Population~(Khabitants)|*Nombre~de~Communes|*Revenu~des~m|dynages6\"
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "fscanf(fichier,\"%[;\\n
]\");" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7#Q#;|+6\"" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 325 "compteur := 0;\ndata := NULL;\nnomRegion
 := NULL;\ntmp := [0];\nwhile tmp <> 0 do\n     tmp := fscanf(fichier,
\"%[^,]\");\n          if tmp <> 0 then\n          compteur := compteu
r + 1;\n          nomRegion := nomRegion,tmp[1];\n          tmp := fsc
anf(fichier,\",%d,%d,%d,%d\");\n          data := data,tmp;\n     fi;
\nod;\nfclose(fichier);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%)compteur
G\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%dataG6\"" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#>%*nomRegionG6\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "
6#>%$tmpG7#\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$tmpG7#Q'Alsace6
\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$tmpG7#Q+|+Aquitaine6\"" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$tmpG7#Q*|+Auvergne6\"" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#>%$tmpG7#Q1|+Basse-Normandie6\"" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#>%$tmpG7#Q+|+Bourgogne6\"" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%$tmpG7#Q*|+Bretagne6\"" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#>%$tmpG7#Q(|+Centre6\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$tmp
G7#Q4|+Champagne-Ardennes6\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$tmp
G7#Q'|+Corse6\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$tmpG7#Q/|+Franch
e-Comt|dy6\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$tmpG7#Q1|+Haute-Nor
mandie6\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$tmpG7#Q/|+Ile-de-Franc
e6\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$tmpG7#Q6|+Languedoc-Roussil
lon6\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$tmpG7#Q*|+Limousin6\"" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$tmpG7#Q*|+Lorraine6\"" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#>%$tmpG7#Q/|+Midi-Pyr|dyn|dyes6\"" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#>%$tmpG7#Q4|+Nord-Pas-de-Calais6\"" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#>%$tmpG7#Q/|+Pays-de-Loire6\"" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#>%$tmpG7#Q*|+Picardie6\"" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%$tmpG7#Q2|+Poitou-Charentes6\"" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%$tmpG7#Q&|+Paca6\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6
#>%$tmpG7#Q-|+Rh|_zne-Alpes6\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$t
mpG7#Q#|+|+6\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "compteur;
\ndata;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"#B" }}{PARA 12 "" 1 "" 
{XPPMATH 20 "697&\"$!G\"%%z\"\"$/*\"&du\"7&\"&48%\"%\\I\"%'H#\"&4c\"7&
\"&8g#\"%48\"%58\"&#)[\"7&\"&ov\"\"%A9\"%7=\"&`Z\"7&\"&#eJ\"%5;\"%X?\"
&Ba\"7&\"&3s#\"%1H\"%o7\"&Wc\"7&\"&^\"R\"%![#\"%U=\"&qf\"7&\"&1c#\"%U8
\"%Z>\"&@]\"7&\"%!o)\"$&G\"$g$\"&lP\"7&\"&-i\"\"%<6\"%'y\"\"&Nb\"7&\"&
<B\"\"%!y\"\"%M9\"&<b\"7&\"&7?\"\"&\"\\6\"%\"G\"\"&,*=7&\"&wt#F+\"%X:
\"&1T\"7&\"&Up\"\"$7(\"$Z(\"&s]\"7&\"&ZN#\"%MB\"%RB\"&\\^\"7&\"&[`%\"%
_D\"%?I\"&La\"7&\"&9C\"\"%ES\"%Y:\"&4P\"7&\"&#3K\"%AK\"%.:\"&1`\"7&\"&
*R>\"%d=\"%#H#\"&I^\"7&\"&5e#\"%,<\"%k9\"&B[\"7&\"&+9$\"%1X\"$j*\"&Va
\"7&\"&)pV\"%0g\"%zG\"&!R;\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 82 "Superficie := 1;\nPopulation := 2;\nNbreCommunes := 3;\nRevenu
s := 4;\ndata := [data];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%+Superfi
cieG\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%+PopulationG\"\"#" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%-NbreCommunesG\"\"$" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#>%(RevenusG\"\"%" }}{PARA 12 "" 1 "" {XPPMATH 20 "
6#>%%dataG797&\"$!G\"%%z\"\"$/*\"&du\"7&\"&48%\"%\\I\"%'H#\"&4c\"7&\"&
8g#\"%48\"%58\"&#)[\"7&\"&ov\"\"%A9\"%7=\"&`Z\"7&\"&#eJ\"%5;\"%X?\"&Ba
\"7&\"&3s#\"%1H\"%o7\"&Wc\"7&\"&^\"R\"%![#\"%U=\"&qf\"7&\"&1c#\"%U8\"%
Z>\"&@]\"7&\"%!o)\"$&G\"$g$\"&lP\"7&\"&-i\"\"%<6\"%'y\"\"&Nb\"7&\"&<B
\"\"%!y\"\"%M9\"&<b\"7&\"&7?\"\"&\"\\6\"%\"G\"\"&,*=7&\"&wt#F.\"%X:\"&
1T\"7&\"&Up\"\"$7(\"$Z(\"&s]\"7&\"&ZN#\"%MB\"%RB\"&\\^\"7&\"&[`%\"%_D
\"%?I\"&La\"7&\"&9C\"\"%ES\"%Y:\"&4P\"7&\"&#3K\"%AK\"%.:\"&1`\"7&\"&*R
>\"%d=\"%#H#\"&I^\"7&\"&5e#\"%,<\"%k9\"&B[\"7&\"&+9$\"%1X\"$j*\"&Va\"7
&\"&)pV\"%0g\"%zG\"&!R;\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 145 "x := NULL; # s\351rie \340 \351tudier\nnobs := nops(data)-1; # \+
nombre d'observations (r\351gion)\nfor i from 1 to nobs do\n    x := x
 , data[i][Superficie];\nod;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"xG
6\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%nobsG\"#A" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#>%\"xG\"$!G" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"xG
6$\"$!G\"&48%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"xG6%\"$!G\"&48%\"
&8g#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"xG6&\"$!G\"&48%\"&8g#\"&ov
\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"xG6'\"$!G\"&48%\"&8g#\"&ov\"
\"&#eJ" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"xG6(\"$!G\"&48%\"&8g#\"&
ov\"\"&#eJ\"&3s#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"xG6)\"$!G\"&48
%\"&8g#\"&ov\"\"&#eJ\"&3s#\"&^\"R" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>
%\"xG6*\"$!G\"&48%\"&8g#\"&ov\"\"&#eJ\"&3s#\"&^\"R\"&1c#" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#>%\"xG6+\"$!G\"&48%\"&8g#\"&ov\"\"&#eJ\"&3s#\"&^
\"R\"&1c#\"%!o)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"xG6,\"$!G\"&48%
\"&8g#\"&ov\"\"&#eJ\"&3s#\"&^\"R\"&1c#\"%!o)\"&-i\"" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#>%\"xG6-\"$!G\"&48%\"&8g#\"&ov\"\"&#eJ\"&3s#\"&^\"R\"
&1c#\"%!o)\"&-i\"\"&<B\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"xG6.\"
$!G\"&48%\"&8g#\"&ov\"\"&#eJ\"&3s#\"&^\"R\"&1c#\"%!o)\"&-i\"\"&<B\"\"&
7?\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"xG6/\"$!G\"&48%\"&8g#\"&ov
\"\"&#eJ\"&3s#\"&^\"R\"&1c#\"%!o)\"&-i\"\"&<B\"\"&7?\"\"&wt#" }}{PARA 
12 "" 1 "" {XPPMATH 20 "6#>%\"xG60\"$!G\"&48%\"&8g#\"&ov\"\"&#eJ\"&3s#
\"&^\"R\"&1c#\"%!o)\"&-i\"\"&<B\"\"&7?\"\"&wt#\"&Up\"" }}{PARA 12 "" 
1 "" {XPPMATH 20 "6#>%\"xG61\"$!G\"&48%\"&8g#\"&ov\"\"&#eJ\"&3s#\"&^\"
R\"&1c#\"%!o)\"&-i\"\"&<B\"\"&7?\"\"&wt#\"&Up\"\"&ZN#" }}{PARA 12 "" 
1 "" {XPPMATH 20 "6#>%\"xG62\"$!G\"&48%\"&8g#\"&ov\"\"&#eJ\"&3s#\"&^\"
R\"&1c#\"%!o)\"&-i\"\"&<B\"\"&7?\"\"&wt#\"&Up\"\"&ZN#\"&[`%" }}{PARA 
12 "" 1 "" {XPPMATH 20 "6#>%\"xG63\"$!G\"&48%\"&8g#\"&ov\"\"&#eJ\"&3s#
\"&^\"R\"&1c#\"%!o)\"&-i\"\"&<B\"\"&7?\"\"&wt#\"&Up\"\"&ZN#\"&[`%\"&9C
\"" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%\"xG64\"$!G\"&48%\"&8g#\"&ov\"
\"&#eJ\"&3s#\"&^\"R\"&1c#\"%!o)\"&-i\"\"&<B\"\"&7?\"\"&wt#\"&Up\"\"&ZN
#\"&[`%\"&9C\"\"&#3K" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%\"xG65\"$!G
\"&48%\"&8g#\"&ov\"\"&#eJ\"&3s#\"&^\"R\"&1c#\"%!o)\"&-i\"\"&<B\"\"&7?
\"\"&wt#\"&Up\"\"&ZN#\"&[`%\"&9C\"\"&#3K\"&*R>" }}{PARA 12 "" 1 "" 
{XPPMATH 20 "6#>%\"xG66\"$!G\"&48%\"&8g#\"&ov\"\"&#eJ\"&3s#\"&^\"R\"&1
c#\"%!o)\"&-i\"\"&<B\"\"&7?\"\"&wt#\"&Up\"\"&ZN#\"&[`%\"&9C\"\"&#3K\"&
*R>\"&5e#" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%\"xG67\"$!G\"&48%\"&8g#
\"&ov\"\"&#eJ\"&3s#\"&^\"R\"&1c#\"%!o)\"&-i\"\"&<B\"\"&7?\"\"&wt#\"&Up
\"\"&ZN#\"&[`%\"&9C\"\"&#3K\"&*R>\"&5e#\"&+9$" }}{PARA 12 "" 1 "" 
{XPPMATH 20 "6#>%\"xG68\"$!G\"&48%\"&8g#\"&ov\"\"&#eJ\"&3s#\"&^\"R\"&1
c#\"%!o)\"&-i\"\"&<B\"\"&7?\"\"&wt#\"&Up\"\"&ZN#\"&[`%\"&9C\"\"&#3K\"&
*R>\"&5e#\"&+9$\"&)pV" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "x;
" }}{PARA 12 "" 1 "" {XPPMATH 20 "68\"$!G\"&48%\"&8g#\"&ov\"\"&#eJ\"&3
s#\"&^\"R\"&1c#\"%!o)\"&-i\"\"&<B\"\"&7?\"\"&wt#\"&Up\"\"&ZN#\"&[`%\"&
9C\"\"&#3K\"&*R>\"&5e#\"&+9$\"&)pV" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 25 "Statistiques
 descriptives" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "with(stats)
;\nwith(describe);" }}{PARA 7 "" 1 "" {TEXT -1 116 "Warning, these nam
es have been redefined: anova, describe, fit, importdata, random, stat
evalf, statplots, transform\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#7*%&a
novaG%)describeG%$fitG%+importdataG%'randomG%*statevalfG%*statplotsG%*
transformG" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#79%7coefficientofvariati
onG%&countG%-countmissingG%+covarianceG%'decileG%.geometricmeanG%-harm
onicmeanG%)kurtosisG%2linearcorrelationG%%meanG%.meandeviationG%'media
nG%%modeG%'momentG%+percentileG%.quadraticmeanG%)quantileG%)quartileG%
&rangeG%)skewnessG%2standarddeviationG%(sumdataG%)varianceG" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "x := [x];" }}{PARA 12 "" 1 "
" {XPPMATH 20 "6#>%\"xG78\"$!G\"&48%\"&8g#\"&ov\"\"&#eJ\"&3s#\"&^\"R\"
&1c#\"%!o)\"&-i\"\"&<B\"\"&7?\"\"&wt#\"&Up\"\"&ZN#\"&[`%\"&9C\"\"&#3K
\"&*R>\"&5e#\"&+9$\"&)pV" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 
"evalf(mean(x));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+\"44hV#!\"&" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "evalf(median(x));" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"&3d#\"\"!" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 19 "evalf(variance(x));" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#$\"+n)HuM\"!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 28 "evalf(standarddeviation(x));" }}{PARA 11 "" 1 "" {XPPMATH 20 "
6#$\"+o%)yg6!\"&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "etendue
 := range(x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%(etendueG;\"$!G\"&[
`%" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 62 "rhs et lhs permettent d'iso
ler les deux bornes d'un intervalle" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 
28 "rhs(etendue) - lhs(etendue);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"
&o]%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 198 "IsolerSerie := pro
c(data,index)\nlocal y,i,nobs;\ny := NULL; # s\351rie \340 \351tudier
\nnobs := nops(data)-1; # nombre d'observations (r\351gion)\nfor i fro
m 1 to nobs do\n    y := y , data[i][index];\nod;\n[y];\nend;" }}
{PARA 12 "" 1 "" {XPPMATH 20 "6#>%,IsolerSerieGR6$%%dataG%&indexG6%%\"
yG%\"iG%%nobsG6\"F-C&>8$%%NULLG>8&,&-%%nopsG6#9$\"\"\"F9!\"\"?(8%F9F9F
3%%trueG>F06$F0&&F86#F<6#9%7#F0F-F-F-" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 34 "x := IsolerSerie(data,Superficie);" }}{PARA 12 "" 1 "
" {XPPMATH 20 "6#>%\"xG78\"$!G\"&48%\"&8g#\"&ov\"\"&#eJ\"&3s#\"&^\"R\"
&1c#\"%!o)\"&-i\"\"&<B\"\"&7?\"\"&wt#\"&Up\"\"&ZN#\"&[`%\"&9C\"\"&#3K
\"&*R>\"&5e#\"&+9$\"&)pV" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 
"y := IsolerSerie(data,Population);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6
#>%\"yG78\"%%z\"\"%\\I\"%48\"%A9\"%5;\"%1H\"%![#\"%U8\"$&G\"%<6\"%!y\"
\"&\"\\6\"%'H#\"$7(\"%MB\"%_D\"%ES\"%AK\"%d=\"%,<\"%1X\"%0g" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 73 "Calcul de la corr\351lation entre \+
la superficie et la population des r\351gions" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 67 "evalf(covariance(x,y)/(standarddeviation(x)*standardd
eviation(y)));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+ClW0\"*!#6" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 91 "correlation := (x,y) -> eval
f(covariance(x,y)/(standarddeviation(x)*standarddeviation(y)));" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%,correlationGR6$%\"xG%\"yG6\"6$%)ope
ratorG%&arrowGF)-%&evalfG6#*&-%+covarianceG6$9$9%\"\"\"*&-%2standardde
viationG6#F4F6-F96#F5F6!\"\"F)F)F)" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 83 "correlation(IsolerSerie(data,Revenus),\n            I
solerSerie(data,NbreCommunes));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"
+bAN)\\'!#6" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}}{MARK 
"12 14 0 0" 0 }{VIEWOPTS 1 1 0 3 2 1804 1 1 1 1 }{PAGENUMBERS 0 1 2 
33 1 1 }