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Begin of ABOVE_BOXES --> <div id="AboveBoxes"> </div> <!-- End of ABOVE_BOXES --> <div class="titre"> <h1>Ajustement moindres carrés</h1> </div> <div class="tbl tblout" onmouseover="this.className = 'tbl tblover'" onmouseout="this.className = 'tbl tblout'"> <div style="padding: 6px;"> <h2>Droite de régression linéaire</h2> <table class="MsoTableGrid" style="border: medium none currentcolor; border-collapse: collapse;" border="1" cellpadding="0" cellspacing="0"> <tbody> <tr style=""> <td style="border: 1pt solid windowtext; padding: 0cm 5.4pt; width: 266.4pt;" valign="top" width="355"> <div style="text-align: left;"> </div> <p style="text-align: left;" class="MsoNormal">Avec le bouton<!--[if gte vml 1]><v:shape id="_x0000_i1040" type="#_x0000_t75" style='width:34.5pt;height:34.5pt' o:ole=""> <v:imagedata src="/help/imgFrModifHelp/image031.png" o:title=""/> </v:shape><![endif]--><!--[if !vml]--> <img src="/help/imgFrModifHelp/image032.jpg" v:shapes="_x0000_i1040" height="46" width="46"><!--[endif]--><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1040" DrawAspect="Content" ObjectID="_1474121836"> </o:OLEObject> </xml><![endif]-->Droite d ajustement, on trace un rectangle à la souris pour délimiter les points auxquels la droite doit s ajuster.</p> <div style="text-align: left;"> </div> <p style="text-align: left;" class="MsoNormal">La droite est tracée.</p> <div style="text-align: left;"> </div> <p style="text-align: left;" class="MsoNormal">Si un des points est libre, la droite «&nbsp;suit&nbsp;» quand on le tire.</p> <div style="text-align: left;"> </div> <p style="text-align: left;" class="MsoNormal">Le menu <span style="font-family: Arial; font-size: 10pt;">Equation-Exporter comme fonction </span>permet d obtenir la fonction de regression</p> <div style="text-align: left;"> </div> <p style="text-align: left;" class="MsoNormal"><img 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<div style="text-align: left;"> </div> <p style="text-align: left;" class="MsoNormal">Notez que&nbsp;si certains points sont mobiles,&nbsp;l'affichage de la fonction prend en compte les positions courantes de ces points.</p> <div style="text-align: left;"> </div> <p style="text-align: left;" class="MsoNormal">Si on le souhaite,on peut faire apparaître les paramètres formels définissant ces points dans la formule via le menu Options</p> <div style="text-align: left;"> </div> <p style="text-align: left;" class="MsoNormal"><!--[if gte vml 1]><v:shape id="_x0000_i1041" type="#_x0000_t75" style='width:219.75pt;height:29.25pt'> <v:imagedata src="/help/imgFrModifHelp/image033.png" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrModifHelp/image034.jpg" v:shapes="_x0000_i1041" height="39" width="293"><!--[endif]--></p> <div style="text-align: left;"> </div> <p style="text-align: left;" class="MsoNormal">On peut alors instancier explicitement ces paramètres.</p> <p class="MsoNormal"><!--[if gte vml 1]><v:shape id="_x0000_i1042" type="#_x0000_t75" style='width:210pt;height:21pt'> <v:imagedata src="/help/imgFrModifHelp/image035.png" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrModifHelp/image036.jpg" v:shapes="_x0000_i1042" height="28" width="280"><!--[endif]--></p> <p class="MsoNormal"><o:p>&nbsp;</o:p></p> </td> <td style="border-style: solid solid solid none; border-color: windowtext windowtext windowtext currentcolor; border-width: 1pt 1pt 1pt medium; padding: 0cm 5.4pt; width: 224.5pt;" valign="top" width="299"> <h2><!--[if gte vml 1]><v:shape id="_x0000_i1043" type="#_x0000_t75" style='width:115.5pt; height:141pt' o:ole=""> <v:imagedata src="/help/imgFrModifHelp/image037.png" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrModifHelp/image038.jpg" v:shapes="_x0000_i1043" height="188" width="154"><!--[endif]--><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1043" DrawAspect="Content" ObjectID="_1474121837"> </o:OLEObject> </xml><![endif]--><!--[if gte vml 1]><v:shape id="_x0000_i1044" type="#_x0000_t75" style='width:85.5pt;height:150.75pt' o:ole=""> <v:imagedata src="/help/imgFrModifHelp/image039.png" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrModifHelp/image040.jpg" v:shapes="_x0000_i1044" height="201" width="114"><!--[endif]--><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1044" DrawAspect="Content" ObjectID="_1474121838"> </o:OLEObject> </xml><![endif]--></h2> </td> </tr> </tbody> </table> <h2>Ecart à une courbe</h2> <table class="MsoTableGrid" style="border: medium none currentcolor; border-collapse: collapse;" border="1" cellpadding="0" cellspacing="0"> <tbody> <tr style=""> <td style="border: 1pt solid windowtext; padding: 0cm 5.4pt; width: 329.4pt; text-align: left;" valign="top" width="439"> <p class="MsoNormal">Pour une régression autre que linéaire, une courbe étant tracée, Casyopée offre la possibilité de créer le calcul «&nbsp;Somme des carrés des écarts&nbsp;», d une série de points à cette courbe (les écarts étant calculés «&nbsp;verticalement).</p> <p class="MsoNormal">Le calcul est créé par le menu <span style="font-family: Arial; font-size: 10pt;">Calculs Géométriques-Ajustement. </span>On clique successivement les points puis la courbe pour terminer.</p> <p class="MsoNormal">Le calcul et sa valeur courante s affichent.</p> <p class="MsoNormal"><!--[if gte vml 1]><v:shape id="_x0000_i1045" type="#_x0000_t75" style='width:279pt;height:36pt'> <v:imagedata src="/help/imgFrModifHelp/image041.png" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrModifHelp/image042.jpg" v:shapes="_x0000_i1045" height="48" width="372"><!--[endif]--></p> <p class="MsoNormal">Dans le cas de la courbe d une fonction avec paramètres, on peut piloter pour obtenir un meilleur ajustement.</p> <p class="MsoNormal"><o:p>&nbsp;</o:p></p> </td> <td style="border-style: solid solid solid none; border-color: windowtext windowtext windowtext currentcolor; border-width: 1pt 1pt 1pt medium; padding: 0cm 5.4pt; width: 157.7pt;" valign="top" width="210"> <p class="MsoNormal"><!--[if gte vml 1]><v:shape id="_x0000_i1046" type="#_x0000_t75" style='width:135.75pt;height:214.5pt' o:ole=""> <v:imagedata src="/help/imgFrModifHelp/image043.png" o:title=""/> </v:shape><![endif]--><!--[if !vml]--><img src="/help/imgFrModifHelp/image044.jpg" v:shapes="_x0000_i1046" height="286" width="181"><!--[endif]--><!--[if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="PBrush" ShapeID="_x0000_i1046" DrawAspect="Content" ObjectID="_1474121840"> </o:OLEObject> </xml><![endif]--></p> </td> </tr> </tbody> </table> </div> <!-- End of UNDER_BOXES --> </div> </td> </tr> </tbody> </table> </body></html>