{VERSION 6 0 "Windows Me" "6.0" }
{USTYLETAB {PSTYLE "Heading 4" -1 20 1 {CSTYLE "" -1 -1 "Times" 1 10 0
 0 0 1 1 1 2 2 2 2 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Ord
ered List 5" -1 200 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 
2 1 0 0 1 }1 1 0 0 3 3 2 144 2 0 2 2 -1 1 }{PSTYLE "Ordered List 1" -1
 201 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 
0 0 3 3 2 0 2 0 2 2 -1 1 }{PSTYLE "Text Output" -1 2 1 {CSTYLE "" -1 
-1 "Courier" 1 10 0 0 255 1 2 2 2 2 2 1 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2
 2 -1 1 }{PSTYLE "Bullet Item" -1 15 1 {CSTYLE "" -1 -1 "Times" 1 12 0
 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 3 3 2 0 2 0 2 2 -1 1 }{PSTYLE "Lef
t Justified Maple Output" -1 12 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 
1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Help" -1
 10 1 {CSTYLE "" -1 -1 "Courier" 1 9 0 0 255 1 2 2 2 2 2 1 1 0 0 1 }1 
1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Author" -1 19 1 {CSTYLE "" -1 -1 
"Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }3 1 0 0 8 8 2 0 2 0 2 2 -1 1
 }{PSTYLE "Diagnostic" -1 9 1 {CSTYLE "" -1 -1 "Courier" 1 10 64 128 
64 1 2 2 2 2 2 1 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Headi
ng 2" -1 4 1 {CSTYLE "" -1 -1 "Times" 1 14 0 0 0 1 2 1 2 2 2 2 1 0 0 1
 }1 1 0 0 8 2 2 0 2 0 2 2 -1 1 }{PSTYLE "Ordered List 3" -1 202 1 
{CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 3 3
 2 72 2 0 2 2 -1 1 }{PSTYLE "Maple Plot" -1 13 1 {CSTYLE "" -1 -1 "Tim
es" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }3 1 0 0 0 0 2 0 2 0 2 2 -1 1 }
{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 
2 2 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Dash Item" -1 16 1
 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 3 
3 2 0 2 0 2 2 -1 1 }{PSTYLE "Heading 3" -1 5 1 {CSTYLE "" -1 -1 "Times
" 1 12 0 0 0 1 1 1 2 2 2 2 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }
{PSTYLE "Ordered List 4" -1 203 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 
1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 3 3 2 108 2 0 2 2 -1 1 }{PSTYLE "Maple \+
Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 
0 1 }3 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Line Printed Output" -1 6 
1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 2 2 2 2 2 1 1 0 0 1 }1 1 0
 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "List Item" -1 14 1 {CSTYLE "" -1 -1 
"Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 3 3 2 0 2 0 2 2 -1 1
 }{PSTYLE "Warning" -1 7 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 2
 2 2 2 2 1 1 0 0 1 }1 1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Error" -1 8
 1 {CSTYLE "" -1 -1 "Courier" 1 10 255 0 255 1 2 2 2 2 2 1 1 0 0 1 }1 
1 0 0 0 0 2 0 2 0 2 2 -1 1 }{PSTYLE "Fixed Width" -1 17 1 {CSTYLE "" 
-1 -1 "Courier" 1 10 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }3 1 0 0 0 0 2 0 2 0 
2 2 -1 1 }{PSTYLE "Heading 1" -1 3 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0
 0 1 2 1 2 2 2 2 1 0 0 1 }1 1 0 0 8 4 2 0 2 0 2 2 -1 1 }{PSTYLE "Title
" -1 18 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 1 2 2 2 1 0 0 1 }3
 1 0 0 12 12 2 0 2 0 2 2 -1 1 }{PSTYLE "Ordered List 2" -1 204 1 
{CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 0 0 1 }1 1 0 0 3 3
 2 36 2 0 2 2 -1 1 }{CSTYLE "Help Variable" -1 25 "Courier" 1 12 0 0 0
 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Text" -1 200 "Times" 1 12 0 0 0 1 2 2
 2 2 2 2 0 0 0 1 }{CSTYLE "Help Bold" -1 39 "Times" 1 12 0 0 0 1 2 1 2
 2 2 2 0 0 0 1 }{CSTYLE "Page Number" -1 33 "Times" 1 12 0 0 0 1 2 2 2
 2 2 2 0 0 0 1 }{CSTYLE "2D Math Italic Small" -1 201 "Times" 1 1 0 0 
0 1 1 2 2 2 2 2 0 0 0 1 }{CSTYLE "Help Nonterminal" -1 24 "Courier" 1 
12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "Default" -1 38 "Times" 1 12 0
 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Maple Comment" -1 21 "Courier" 1 
12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "Maple Input" -1 0 "Courier" 1
 12 255 0 0 1 2 1 2 2 1 2 0 0 0 1 }{CSTYLE "2D Math Small" -1 7 "Times
" 1 1 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Help Fixed" -1 23 "Courier
" 1 10 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Popup" -1 31 "Times" 1 12
 0 128 128 1 1 2 1 2 2 2 0 0 0 1 }{CSTYLE "Plot Title" -1 27 "Times" 1
 10 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "2D Input" -1 19 "Times" 1 12
 255 0 0 1 2 2 2 2 1 2 0 0 0 1 }{CSTYLE "Copyright" -1 34 "Times" 1 10
 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Maple Input Placeholder" -1 202
 "Courier" 1 12 200 0 200 1 2 1 2 2 1 2 0 0 0 1 }{CSTYLE "2D Math Bold
 Small" -1 10 "Times" 1 1 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "2D Mat
h" -1 2 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Help Notes"
 -1 37 "Times" 1 12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "Help Underli
ned Bold" -1 41 "Times" 1 12 0 0 0 1 1 1 2 2 2 2 0 0 0 1 }{CSTYLE "Hyp
erlink" -1 17 "Times" 1 12 0 128 128 1 2 2 1 2 2 2 0 0 0 1 }{CSTYLE "2
D Math Symbol 2" -1 16 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }
{CSTYLE "Plot Text" -1 28 "Times" 1 8 0 0 0 1 2 2 2 2 2 2 0 0 0 1 }
{CSTYLE "Help Italic" -1 42 "Times" 1 12 0 0 0 1 1 2 2 2 2 2 0 0 0 1 }
{CSTYLE "Output Labels" -1 29 "Times" 1 8 0 0 0 1 2 2 2 2 2 2 0 0 0 1 
}{CSTYLE "Help Heading" -1 26 "Times" 1 14 0 0 0 1 2 1 2 2 2 2 0 0 0 1
 }{CSTYLE "Help Normal" -1 30 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1
 }{CSTYLE "2D Comment" -1 18 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 0 0 0 1 
}{CSTYLE "Help Maple Name" -1 35 "Times" 1 12 104 64 92 1 2 1 2 2 2 2 
0 0 0 1 }{CSTYLE "2D Output" -1 20 "Times" 1 12 0 0 255 1 2 2 2 2 2 2 
0 0 0 1 }{CSTYLE "Dictionary Hyperlink" -1 45 "Times" 1 12 147 0 15 1 
2 2 1 2 2 2 0 0 0 1 }{CSTYLE "Help Emphasized" -1 22 "Times" 1 12 0 0 
0 1 1 2 2 2 2 2 0 0 0 1 }{CSTYLE "Help Italic Bold" -1 40 "Times" 1 12
 0 0 0 1 1 2 2 2 2 2 0 0 0 1 }{CSTYLE "LaTeX" -1 32 "Times" 1 12 0 0 0
 1 2 2 2 2 2 2 0 0 0 1 }{CSTYLE "Help Menus" -1 36 "Times" 1 12 0 0 0 
1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "Prompt" -1 1 "Courier" 1 12 0 0 0 1 2 
1 2 2 2 2 0 0 0 1 }{CSTYLE "Help Underlined" -1 44 "Times" 1 12 0 0 0 
1 2 2 1 2 2 2 0 0 0 1 }{CSTYLE "Help Underlined Italic" -1 43 "Times" 
1 12 0 0 0 1 1 2 1 2 2 2 0 0 0 1 }{CSTYLE "2D Math Bold" -1 5 "Times" 
1 12 0 0 0 1 2 1 2 2 2 2 0 0 0 1 }{CSTYLE "2D Math Italic" -1 3 "Times
" 1 12 0 0 0 1 1 2 2 2 2 2 0 0 0 1 }}
{SECT 0 {EXCHG {PARA 18 "" 0 "" {TEXT 203 50 "Erste Methode: Regressio
n mit dem Statistics-Paket" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "resta
rt:\n" }{MPLTEXT 1 0 19 "with(Statistics):\n" }{MPLTEXT 1 0 25 "X := V
ector([1,2,3,4]);\n" }{MPLTEXT 1 0 25 "Y := Vector([4,7,8,9]);\n" }}
{PARA 11 "" 1 "" {XPPMATH 20 ">I\"XG6\"-I'RTABLEGF$6%\"*'f#4S\"-I'MATR
IXGF$6#7&7#\"\"\"7#\"\"#7#\"\"$7#\"\"%&I'VectorG6$%*protectedGI(_sysli
bGF$6#I'columnGF$" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I\"YG6\"-I'RTABLEG
F$6%\"*;F4S\"-I'MATRIXGF$6#7&7#\"\"%7#\"\"(7#\"\")7#\"\"*&I'VectorG6$%
*protectedGI(_syslibGF$6#I'columnGF$" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 
200 111 "Der Fit-Befehl des Pakets Statistics ist universell - man kan
n sehr viele Funktionstypen zur Anpassung angeben." }}{PARA 0 "> " 0 "
" {MPLTEXT 1 0 24 "Reg:=Fit(a*x+b,X,Y,x);\n" }}{PARA 11 "" 1 "" 
{XPPMATH 20 ">I$RegG6\",&*&$\"3_+++++++;!#<\"\"\"I\"xGF$F*F*$\"3m)****
*********HF)F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 46 "p1:=plot(
Reg,x=0..6,thickness=2,color=blue):\n" }{MPLTEXT 1 0 92 "p2:=pointplot
(\{seq( [X[i],Y[i]], i=1..nops(X)+1)\},symbol=box,symbolsize=15,thickn
ess=3):\n" }{MPLTEXT 1 0 31 "with(plots):display(\{p1,p2\});" }}{PARA 
7 "" 1 "" {TEXT 204 49 "Warning, the name changecoords has been redefi
ned" }}{PARA 13 "" 1 "" {TEXT 205 0 "" }{GLPLOT2D 400 400 400 
{PLOTDATA 2 "6&-%+AXESLABELSG6$Q\"x6\"Q!F'-%'CURVESG6%7S7$$\"\"!F/$\"3
m)*************H!#<7$$\"3%*******\\#HyI\"!#=$\"3v)*****zED4KF27$$\"33+
+]([kdW#F6$\"3%*)****zJA8R$F27$$\"3++++v;\\DPF6$\"3w)****zmygf$F27$$\"
3W+++D<q8]F6$\"34*****fF#>-QF27$$\"3o****\\P\"*y&H'F6$\"3U*****>EEt+%F
27$$\"3e****\\(G[W[(F6$\"3?*****fs6v>%F27$$\"3i****\\()fB:()F6$\"3o)**
**zvPWR%F27$$\"39++](Q=\"))**F6$\"37*****>%*)4)f%F27$$\"3(****\\P'=pD6
F2$\"3T*****>)p5,[F27$$\"33+++lN?c7F2$\"3f*****RqD*4]F27$$\"3-++]U$e6P
\"F2$\"3I*****zM`Q>&F27$$\"36+++&>q0]\"F2$\"35*****>J74S&F27$$\"3'****
**\\U80j\"F2$\"3e******z9#)3cF27$$\"35+++0ytb<F2$\"3)******z[!=4eF27$$
\"3)****\\(QNXp=F2$\"3'******>mD6*fF27$$\"3.+++XDn/?F2$\"3S+++sgZ2iF27
$$\"3.+++!y?#>@F2$\"3K*****zC`2R'F27$$\"3'****\\(3wY_AF2$\"3B*****R<[R
g'F27$$\"3#)******HOTqBF2$\"33+++3=m#z'F27$$\"37++v3\">)*\\#F2$\"3')**
***Rd5(**pF27$$\"3:++DEP/BEF2$\"3%4++?'*po>(F27$$\"3=++](o:;v#F2$\"3e*
******4&e-uF27$$\"3=++v$)[opGF2$\"3%******R\"e\\\"f(F27$$\"3%*****\\i%
Qq*HF2$\"3E+++S:E&z(F27$$\"3&****\\(QIKHJF2$\"3j+++io\"p+)F27$$\"3#***
*\\7:xWC$F2$\"3c+++UM;\">)F27$$\"37++]Zn%)oLF2$\"3!4++gza,R)F27$$\"3y*
*****4FL(\\$F2$\"3I*****fLKdf)F27$$\"3#)****\\d6.BOF2$\"39,++_)\\oz)F2
7$$\"3(****\\(o3lWPF2$\"3K+++!RT9**)F27$$\"3!*****\\A))ozQF2$\"3d+++;@
]2#*F27$$\"3e******Hk-,SF2$\"3o*****zGU;S*F27$$\"36+++D-eITF2$\"3<+++g
$G*3'*F27$$\"3u***\\(=_(zC%F2$\"3M,++].w'z*F27$$\"3M+++b*=jP%F2$\"3B++
!G.6-+\"!#;7$$\"3g***\\(3/3(\\%F2$\"33++SlG`>5F]w7$$\"33++vB4JBYF2$\"3
0++!yuH(R5F]w7$$\"3u*****\\KCnu%F2$\"3/+++#*eZf5F]w7$$\"3s***\\(=n#f([
F2$\"3=+++v#[,3\"F]w7$$\"3P+++!)RO+]F2$\"3<++!oBe+5\"F]w7$$\"30++]_!>w
7&F2$\"3:++S[!>/7\"F]w7$$\"3O++v)Q?QD&F2$\"3?++?i7hS6F]w7$$\"3G+++5jyp
`F2$\"3;++g4e;f6F]w7$$\"3<++]Ujp-bF2$\"39++![TJ/=\"F]w7$$\"3++++gEd@cF
2$\"33++gD;X*>\"F]w7$$\"39++v3'>$[dF2$\"3<++SP6t>7F]w7$$\"37++D6EjpeF2
$\"38++!y@T\"R7F]w7$$\"\"'F/$\"39++++++g7F]w-%*THICKNESSG6#\"\"#-%&COL
ORG6&%$RGBG$F/!\"\"Fg[l$\"#5Fh[l-%'POINTSG6*7$$\"\"\"F/$\"\"%F/7$$Fb[l
F/$\"\"(F/7$$\"\"$F/$\"\")F/7$Fa\\l$\"\"*F/-F`[l6#Fi\\l-I'SYMBOLG6$%*p
rotectedGI(_syslibGF'6$I$BOXGFc]l\"#:F_]lFa]l-%%VIEWG6$;Fg[l$\"#gFh[l;
$\"2%)**********z!GF]w$\"2/+++++#z7!#:" 1 2 2 1 10 1 2 6 1 4 2 1.0 
45.0 45.0 1 0 "Curve 1" "Curve 2" }}{TEXT 205 0 "" }}}{EXCHG {PARA 0 "
" 0 "" {TEXT 200 120 "Mit der Option \"output=solutionmodule\" lassen \+
sich die Ergebnisse ausgeben - leider fehlt der Korrelationskoeffizien
t!" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "m:=Fit(a*x+b,X,Y,x,output=sol
utionmodule);\n" }{MPLTEXT 1 0 15 "m:-Results();\n" }}{PARA 11 "" 1 ""
 {XPPMATH 20 ">I\"mG6\"`6$I(ResultsGF$I)SettingsGF$b6#I+thismoduleGF$F
$F$F&F$F$F$6(I+resultstabGF$I'restabGF$I&QueryGF$I&QueryG6#/I+modulena
meGF$I/SolutionModuleG6$%*protectedG/F3I-OptimizationG6$F6I(_syslibGF$
I,settingstabGF$I'settabGF$I,_m148071220GF$F$" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "7./Q3residualmeansquare6\"$\"/++++++g!#9/Q5residualsumofs
quaresF%$\"3;/++++++7!#</Q:residualstandarddeviationF%$\"/[T#pmfu(F(/Q
1degreesoffreedomF%\"\"#/Q0parametervaluesF%-I'RTABLEGF%6%\"*3m*y9-I'M
ATRIXGF%6#7$7#$\"3_+++++++;F-7#$\"3m)*************HF-&I'VectorG6$%*pro
tectedGI(_syslibGF%6#I'columnGF%/Q0parametervectorF%-F86%\"*ol*y9F;FE/
Q5leastsquaresfunctionF%,&*&F@\"\"\"I\"xGF%FUFUFCFU/Q/standarderrorsF%
-F86%\"*3i*y9-I'VECTORGF%6#7$$\"3#=wP^h,TY$!#=$\"3we^]!)H$o[*F\\o&FF6#
I$rowGF%/Q4confidenceintervalsF%-F86%\"*#f:l9-F<6#7$7#;$\".)\\HP<&4\"!
#8$\"/-0FE[!4$F^p7#;$!/[-#ya=3\"F^p$\"/[-#ya=3(F^pFE/Q*residualsF%-F86
%\"*)G'*y9-Fgn6#7&$!358++++++gF\\o$\"3U5++++++!)F\\o$\"3U3++++++?F\\o$
!3W2++++++SF\\oF_o/Q*leveragesF%-F86%\"*Gj*y9-Fgn6#7&$\"3a4++++++qF\\o
$\"3k-++++++IF\\o$\"3K**************HF\\o$\"3K(*************pF\\oF_o/Q
9variancecovariancematrixF%-F86%\"*g72[\"-F<6#7$7$$\"3%\\++++++?\"F\\o
$!3?8++++++IF\\o7$Fbs$\"33R++++++!*F\\oI'MatrixGFG" }}}{EXCHG {PARA 0 
"> " 0 "" {XPPEDIT 19 1 "" "%#%?G" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 
200 118 "Regressionskurve f\374r begrenztes Wachstum:\nBeachten Sie, d
ass vor dem Parameter \"c\" das Minuszeichen stehen muss:" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "with(Statistics):Reg:=Fit(a+b*exp(-
c*x),X,Y,x);\n" }{MPLTEXT 1 0 46 "p1:=plot(Reg,x=0..8,thickness=2,colo
r=blue):\n" }{MPLTEXT 1 0 84 "p2:=pointplot(\{seq( [X[i],Y[i]], i=1..4
)\},symbol=box,symbolsize=15,thickness=3):\n" }{MPLTEXT 1 0 31 "with(p
lots):display(\{p1,p2\});" }}{PARA 11 "" 1 "" {XPPMATH 20 ">I$RegG6\",
&$\"3y&=5))[F\\\\*!#<\"\"\"*&$\"3%fR'[wTbN6!#;F)-I$expG6$%*protectedGI
(_syslibGF$6#,$*&$\"3!e`1y%)=xI(!#=F)I\"xGF$F)!\"\"F)F:" }}{PARA 13 ""
 1 "" {TEXT 205 0 "" }{GLPLOT2D 400 400 400 {PLOTDATA 2 "6&-%+AXESLABE
LSG6$Q\"x6\"Q!F'-%'POINTSG6*7$$\"\"\"\"\"!$\"\"%F/7$$\"\"#F/$\"\"(F/7$
$\"\"$F/$\"\")F/7$F0$\"\"*F/-I*THICKNESSG6$%*protectedGI(_syslibGF'6#F
9-I'SYMBOLGFA6$I$BOXGFA\"#:F?FE-%'CURVESG6%7U7$$F/F/$!3gtP0wUhg=!#<7$$
\"3Hmmmm;')=()!#>$!3-x7>%pj'f6FR7$$\"3ELLLLBxV<!#=$!3-(H\\SC6)>]Ffn7$$
\"3-+++DeR-DFfn$\"3P\"oyFn0Yr$FV7$$\"3ymmm;$>5E$Ffn$\"3I$y;(zV)>Z&Ffn7
$$\"3MLLLLAKn\\Ffn$\"3e*pv\\W]hf\"FR7$$\"3=LLLLc$\\o'Ffn$\"3FP\"*\\oN*
y_#FR7$$\"3)emmm^&Q%R)Ffn$\"314m(zvggM$FR7$$\"3wKLL$Qk#z**Ffn$\"3\"***
G?!4?&=SFR7$$\"3))*****\\YJ?;\"FR$\"3\"Hd**H[<uj%FR7$$\"3?LLL=\"\\<L\"
FR$\"3JQWcsy+/_FR7$$\"3\")*****\\[A4]\"FR$\"3'o$)Rs+-Iq&FR7$$\"3wmmm'3
Q\\n\"FR$\"33:E^-W!e:'FR7$$\"3OLLLB6@G=FR$\"3@&3'3Mki4lFR7$$\"3&)*****
*f-w+?FR$\"3uwyj%H*GjoFR7$$\"3%*********y,u@FR$\"3]AuM6_DwrFR7$$\"3)**
*****RP)4M#FR$\"3c-3T=reUuFR7$$\"3ILLL=Zg#\\#FR$\"3CYHLC=%yl(FR7$$\"3c
mmmEn*Gn#FR$\"3)R$p4M_h%)yFR7$$\"3Tmmm1xiDGFR$\"39SD7Xwna!)FR7$$\"3!)*
****\\9!H.IFR$\"3<E<ksl.I#)FR7$$\"3Immm1:bgJFR$\"3YtFI3)etO)FR7$$\"3<+
++X@4LLFR$\"3?`N+BN$4])FR7$$\"31+++N;R(\\$FR$\"3E\"z)=B;R8')FR7$$\"3wm
mm;4#)oOFR$\"3ZZAIp#*=<()FR7$$\"3jmmm6lCEQFR$\"3zT(yZA2<!))FR7$$\"3ELL
L$G^g*RFR$\"3e!f(p2\\g#)))FR7$$\"3oKLL=2VsTFR$\"3=P!z/Oam&*)FR7$$\"3f*
****\\`pfK%FR$\"3f=F;=Yy8!*FR7$$\"3!HLLLm&z\"\\%FR$\"3))\\)p<v&po!*FR7
$$\"3s******z-6jYFR$\"3)zE)**y9&)=\"*FR7$$\"3<******4#32$[FR$\"3a%zW()
y-A;*FR7$$\"3O*****\\#y'G*\\FR$\"3Ot))eoYQ*>*FR7$$\"3G******H%=H<&FR$
\"3>6D?T8#eB*FR7$$\"35mmm1>qM`FR$\"3i@6\\+Jrk#*FR7$$\"3%)*******HSu]&F
R$\"3'o(yy?U,#H*FR7$$\"3'HLL$ep'Rm&FR$\"3D:A:`i%RJ*FR7$$\"3')******R>4
NeFR$\"3^NKdD1AN$*FR7$$\"3#emm;@2h*fFR$\"3Cf'Gm8\\HN*FR7$$\"3]*****\\c
9W;'FR$\"3'f92KZ!Qp$*FR7$$\"3Lmmmmd'*GjFR$\"3W*4p7/0OQ*FR7$$\"3j*****
\\iN7]'FR$\"3EQ+'o;tnR*FR7$$\"3aLLLt>:nmFR$\"3Hg_'\\!4)zS*FR7$$\"35LLL
.a#o$oFR$\"3Z)y-*e+7=%*FR7$$\"3ammm^Q40qFR$\"3o%pl,:2qU*FR7$$\"3y*****
*z]rfrFR$\"3c(*obfREM%*FR7$$\"3gmmmc%GpL(FR$\"3y8C=;EjT%*FR7$$\"3/LLL8
-V&\\(FR$\"3uh>b\"fhuW*FR7$$\"3=+++XhUkwFR$\"31pgo&*f(HX*FR7$$\"3=+++:
o<EyFR$\"3#R!H3CHld%*FR7$F:$\"3E@fS[$*4i%*FR-F@6#F4-%&COLORG6&%$RGBG$F
/!\"\"F]^l$\"#5F^^l-%%VIEWG6$;F]^l$\"#!)F^^l;$!2w'Ha[&oq3#!#;$\"1;^*3i
`&)o*!#:" 1 2 2 1 10 1 2 6 1 4 2 1.0 45.0 45.0 1 0 "Curve 1" "Curve 2"
 }}{TEXT 205 0 "" }}}{EXCHG {PARA 18 "" 0 "" {TEXT 203 46 "Zweite Meth
ode: Regression mit dem stats-Paket" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 
10 "restart:\n" }{MPLTEXT 1 0 14 "with(stats):\n" }{MPLTEXT 1 0 17 "X \+
:= [1,2,3,4];\n" }{MPLTEXT 1 0 15 "Y := [4,7,8,9];" }}{PARA 11 "" 1 ""
 {XPPMATH 20 ">I\"XG6\"7&\"\"\"\"\"#\"\"$\"\"%" }}{PARA 11 "" 1 "" 
{XPPMATH 20 ">I\"YG6\"7&\"\"%\"\"(\"\")\"\"*" }}}{EXCHG {PARA 0 "" 0 "
" {TEXT 200 118 "Der fit-Befehl des Pakets stats erlaubt auch vielf\34
4ltige Regressionen, allerdings nur solche in linearen Parametern" }}
{PARA 0 "> " 0 "" {MPLTEXT 1 0 50 "fit[leastsquare[[x,y],y=a*x+b, \{a,
b\}]]([X,Y]);\n" }{MPLTEXT 1 0 14 "Reg:=rhs(%):\n" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "/I\"yG6\",&*&#\"\")\"\"&\"\"\"I\"xGF$F*F*\"\"$F*" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT 200 68 "Daf\374r liefert das Paket stats \+
auch den Korrelationskoeffizienten:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 
35 "describe[linearcorrelation](X,Y);\n" }{MPLTEXT 1 0 9 "evalf(%);" }
}{PARA 11 "" 1 "" {XPPMATH 20 ",$*&#\"\"%\"#N\"\"\")\"#q#F'\"\"#F'F'" 
}}{PARA 11 "" 1 "" {XPPMATH 20 "$\"+v)G=c*!#5" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 58 "fit[leastsquare[[x,y],y=a+b*x+c*x^2, \{a,b,c\}]]
([X,Y]);\n" }{MPLTEXT 1 0 49 "p1:=plot(rhs(%),x=0..5,thickness=2,color
=blue):\n" }{MPLTEXT 1 0 82 "p2:=pointplot([seq( [X[i],Y[i]], i=1..4)]
,symbol=box,symbolsize=15,thickness=3):\n" }{MPLTEXT 1 0 33 "with(plot
s):display(\{p1,p2\});\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "/I\"yG6\",(#
\"\"\"\"\"#F'*&#\"#T\"#5F'I\"xGF$F'F'*&F&F')F-F(F'!\"\"" }}{PARA 7 "" 
1 "" {TEXT 204 49 "Warning, the name changecoords has been redefined" 
}}{PARA 13 "" 1 "" {TEXT 205 0 "" }{GLPLOT2D 400 400 400 {PLOTDATA 2 "
6&-%+AXESLABELSG6$Q\"x6\"Q!F'-%'CURVESG6%7S7$$\"\"!F/$\"3++++++++]!#=7
$$\"3GLLL3x&)*3\"F2$\"3\"o)f%H6F!4%*F27$$\"3umm\"H2P\"Q?F2$\"3hYeD'=m[
J\"!#<7$$\"3MLL$eRwX5$F2$\"32RQI\\VoC<F=7$$\"33ML$3x%3yTF2$\"3#*>.G%zK
d7#F=7$$\"3emm\"z%4\\Y_F2$\"3[vHJ_HV8DF=7$$\"3`LLeR-/PiF2$\"3!yDyM9$oi
GF=7$$\"3]***\\il'pisF2$\"3#\\(*ea\"=(R@$F=7$$\"3>MLe*)>VB$)F2$\"3iqII
:&4ic$F=7$$\"3Y++DJbw!Q*F2$\"3bf50e+71RF=7$$\"3%ommTIOo/\"F=$\"3#3nAKs
&4WUF=7$$\"3YLL3_>jU6F=$\"3=#y!e9r)>`%F=7$$\"37++]i^Z]7F=$\"3C*HN-5/^%
[F=7$$\"33++](=h(e8F=$\"3M&z@k)[!y9&F=7$$\"3/++]P[6j9F=$\"3&[n$*)>$=%G
aF=7$$\"3UL$e*[z(yb\"F=$\"3eaQ!)Qx!Qn&F=7$$\"3wmm;a/cq;F=$\"3Kj0dY<\"R
&fF=7$$\"3%ommmJ<gw\"F=$\"3%e1]pTi7='F=7$$\"3/+]iSj0x=F=$\"3@TAiV2EMkF
=7$$\"3gmmm\"pW`(>F=$\"3-%\\&Q5*>zk'F=7$$\"3K+]i!f#=$3#F=$\"3id4ioPAro
F=7$$\"3?+](=xpe=#F=$\"3]n!*)[t_I2(F=7$$\"37nm\"H28IH#F=$\"3Ol\\nA\"*R
ssF=7$$\"3um;zpSS\"R#F=$\"33fxjt*\\`W(F=7$$\"3GLL3_?`(\\#F=$\"3Is)\\zB
[5i(F=7$$\"3fL$e*)>pxg#F=$\"3#>F6#=Oi\"z(F=7$$\"33+]Pf4t.FF=$\"38qg4$Q
;-$zF=7$$\"3uLLe*Gst!GF=$\"3a\"[J6!obp!)F=7$$\"30+++DRW9HF=$\"37&H:lRG
A?)F=7$$\"3:++DJE>>IF=$\"3i\\y#erF4K)F=7$$\"3F+]i!RU07$F=$\"3$Rq=dRJ`U
)F=7$$\"3+++v=S2LKF=$\"36ho^r'>#H&)F=7$$\"3Jmmm\"p)=MLF=$\"3!=R9+_m<h)
F=7$$\"3B++](=]@W$F=$\"3)p&o47oh)o)F=7$$\"35L$e*[$z*RNF=$\"3QJM?N%)=[(
)F=7$$\"3e++]iC$pk$F=$\"31U=B.\\O-))F=7$$\"3[m;H2qcZPF=$\"3GA`#G\\&*G%
))F=7$$\"3O+]7.\"fF&QF=$\"3/AiXpfVu))F=7$$\"3Ymm;/OgbRF=$\"3)*o^VS[d%*
))F=7$$\"3w**\\ilAFjSF=$\"3wQQwObK/*)F=7$$\"3yLLL$)*pp;%F=$\"3skhm5vv-
*)F=7$$\"3)RL$3xe,tUF=$\"3YT&QJvK+*))F=7$$\"3Cn;HdO=yVF=$\"3u8zSEpIm))
F=7$$\"3a+++D>#[Z%F=$\"3WW'pAEaZ$))F=7$$\"3SnmT&G!e&e%F=$\"3EMt?$*e5(y
)F=7$$\"3#RLLL)Qk%o%F=$\"3ed/%[w&4M()F=7$$\"37+]iSjE!z%F=$\"3!e3+&*=mn
m)F=7$$\"3a+]P40O\"*[F=$\"3uo35sU(=f)F=7$$\"\"&F/$\"3++++++++&)F=-%*TH
ICKNESSG6#\"\"#-%&COLORG6&%$RGBG$F/!\"\"Ff[l$\"#5Fg[l-%'POINTSG6*7$$\"
\"\"F/$\"\"%F/7$$Fa[lF/$\"\"(F/7$$\"\"$F/$\"\")F/7$F`\\l$\"\"*F/-F_[l6
#Fh\\l-I'SYMBOLG6$%*protectedGI(_syslibGF'6$I$BOXGFb]l\"#:F^]lF`]l-%%V
IEWG6$;Ff[l$\"#]Fg[l;$\"#L!\"#$\"$<*Fa^l" 1 2 2 1 10 1 2 6 1 4 2 1.0 
45.0 45.0 1 0 "Curve 1" "Curve 2" }}{TEXT 205 0 "" }}}{EXCHG {PARA 0 "
> " 0 "" {XPPEDIT 19 1 "" "%#%?G" }}}}
{MARK "0 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 
33 1 1 }