273:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000 Pensamiento aleatorio y numérico:@0.621779:0.043660:0.926843:0.043660:0.926843:0.024915:0.621779:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejercicio:@0.073089:0.136836:0.136294:0.136836:0.136294:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 En un laboratorio de materiales se estudia la relación entre la deformación x medida en :@0.073089:0.174921:0.710718:0.174921:0.710718:0.158487:0.073089:0.158487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 mm, y la dureza y del material, medida en :@0.073089:0.195224:0.378327:0.195224:0.378327:0.178790:0.073089:0.178790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 kg:@0.388001:0.188096:0.405929:0.188096:0.405929:0.171662:0.388001:0.171662:0.000000:0.000000 mm:@0.379349:0.205126:0.409427:0.205126:0.409427:0.188692:0.379349:0.188692:0.000000:0.000000 2:@0.409338:0.199057:0.414575:0.199057:0.414575:0.189476:0.409338:0.189476:0.000000 .:@0.415854:0.195230:0.419057:0.195230:0.419057:0.178796:0.415854:0.178796:0.000000 Se realizan cinco ensayos cuyos resultados se muestran en el conjunto C::@0.073093:0.233312:0.600024:0.233312:0.600024:0.216878:0.073093:0.216878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 C:@0.073093:0.271394:0.083585:0.271394:0.083585:0.254960:0.073093:0.254960:0.000000 ={(:@0.083511:0.271977:0.110920:0.271977:0.110920:0.254323:0.083511:0.254323:0.000000:0.000000:0.000000 8; 55,7 , 11; 52,1 , 16; 45,8 , 25; 36,0 , 32; 23,9 .:@0.110828:0.271394:0.467302:0.271394:0.467302:0.254960:0.110828:0.254960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ) (:@0.156625:0.271977:0.175860:0.271977:0.175860:0.254323:0.156625:0.254323:0.000000:0.000000:0.000000 ) (:@0.230475:0.271977:0.249710:0.271977:0.249710:0.254323:0.230475:0.254323:0.000000:0.000000:0.000000 ) (:@0.304325:0.271977:0.323560:0.271977:0.323560:0.254323:0.304325:0.254323:0.000000:0.000000:0.000000 ) (:@0.378175:0.271977:0.397410:0.271977:0.397410:0.254323:0.378175:0.254323:0.000000:0.000000:0.000000 )}:@0.452024:0.271977:0.464192:0.271977:0.464192:0.254323:0.452024:0.254323:0.000000:0.000000 Con estos datos, se calculan los valores siguientes::@0.073074:0.309476:0.435213:0.309476:0.435213:0.293043:0.073074:0.293043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x = 92; x = = 18,4; x = 2 090,:@0.073074:0.347558:0.345139:0.347567:0.345139:0.331133:0.073074:0.331125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 i:@0.096707:0.350741:0.098950:0.350741:0.098950:0.341160:0.096707:0.341160:0.000000 i:@0.276143:0.350741:0.278386:0.350741:0.278386:0.341160:0.276143:0.341160:0.000000 2:@0.278343:0.341508:0.283580:0.341508:0.283580:0.331927:0.278343:0.331927:0.000000 y = 213,5; y = = 42,7; y = 9 781,75,:@0.073098:0.385649:0.411323:0.385652:0.411323:0.369218:0.073098:0.369215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 i:@0.096910:0.388824:0.099153:0.388824:0.099153:0.379243:0.096910:0.379243:0.000000 i:@0.321381:0.388824:0.323624:0.388824:0.323624:0.379243:0.321381:0.379243:0.000000 2:@0.323581:0.379591:0.328818:0.379591:0.328818:0.370010:0.323581:0.370010:0.000000 x y = 3 416,3,:@0.073089:0.423734:0.186715:0.423736:0.186715:0.407303:0.073089:0.407300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 i:@0.096707:0.426909:0.098950:0.426909:0.098950:0.417328:0.096707:0.417328:0.000000 i:@0.110872:0.426909:0.113115:0.426909:0.113115:0.417328:0.110872:0.417328:0.000000 s = x – = 2 090 – = 99,3,:@0.073088:0.468974:0.461770:0.468968:0.461770:0.452534:0.073088:0.452541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.079874:0.472141:0.084478:0.472141:0.084478:0.462560:0.079874:0.462560:0.000000 2:@0.084435:0.462907:0.089672:0.462907:0.089672:0.453326:0.084435:0.453326:0.000000 i:@0.191289:0.472141:0.193532:0.472141:0.193532:0.462560:0.191289:0.462560:0.000000 2:@0.193489:0.462907:0.198726:0.462907:0.198726:0.453326:0.193489:0.453326:0.000000 s = y – = 9 781,75 – = 166,325,:@0.073083:0.521348:0.529552:0.521348:0.529552:0.504915:0.073083:0.504915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.079874:0.524521:0.084596:0.524521:0.084596:0.514940:0.079874:0.514940:0.000000 2:@0.084553:0.515287:0.089790:0.515287:0.089790:0.505707:0.084553:0.505707:0.000000 i:@0.191610:0.524521:0.193853:0.524521:0.193853:0.514940:0.191610:0.514940:0.000000 2:@0.193810:0.515287:0.199047:0.515287:0.199047:0.505707:0.193810:0.505707:0.000000 S = = = –128,025,:@0.073089:0.573728:0.509122:0.573727:0.509122:0.557293:0.073089:0.557295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 xy:@0.081549:0.576900:0.090961:0.576900:0.090961:0.567319:0.081549:0.567319:0.000000:0.000000 b:@0.073091:0.618882:0.082350:0.618882:0.082350:0.602476:0.073091:0.602476:0.000000 = = = –1,289 3. :@0.083643:0.618959:0.291185:0.618959:0.291185:0.602525:0.083643:0.602525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La recta de regresión está definida como::@0.073096:0.664197:0.370614:0.664197:0.370614:0.647763:0.073096:0.647763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.073096:0.709435:0.080569:0.709435:0.080569:0.693029:0.073096:0.693029:0.000000 42,7 :@0.080495:0.709435:0.131410:0.709435:0.131410:0.693001:0.080495:0.693001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 –:@0.084453:0.710018:0.093656:0.710018:0.093656:0.692363:0.084453:0.692363:0.000000 = –:@0.131299:0.710018:0.160346:0.710018:0.160346:0.692363:0.131299:0.692363:0.000000:0.000000:0.000000 1,289 3:@0.160254:0.709435:0.211960:0.709435:0.211960:0.693001:0.160254:0.693001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( – :@0.211739:0.710018:0.243473:0.710018:0.243473:0.692363:0.211739:0.692363:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.217777:0.709435:0.225231:0.709435:0.225231:0.693029:0.217777:0.693029:0.000000 18,4 :@0.243473:0.709435:0.283178:0.709435:0.283178:0.693001:0.243473:0.693001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ):@0.273109:0.710018:0.279238:0.710018:0.279238:0.692363:0.273109:0.692363:0.000000 66,422 66 1,289 3 , 0.:@0.303736:0.709424:0.533329:0.709424:0.533329:0.692990:0.303736:0.692990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.307693:0.709424:0.315166:0.709424:0.315166:0.693018:0.307693:0.693018:0.000000 =:@0.319050:0.710006:0.334384:0.710006:0.334384:0.692352:0.319050:0.692352:0.000000 –:@0.411584:0.710006:0.420787:0.710006:0.420787:0.692352:0.411584:0.692352:0.000000 x x:@0.476230:0.709424:0.498135:0.709424:0.498135:0.693018:0.476230:0.693018:0.000000:0.000000:0.000000 >:@0.502019:0.710006:0.517352:0.710006:0.517352:0.692352:0.502019:0.692352:0.000000 Calculamos el coeficiente de correlación ::@0.073093:0.747506:0.377420:0.747506:0.377420:0.731072:0.073093:0.731072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 r:@0.369008:0.747506:0.374291:0.747506:0.374291:0.731100:0.369008:0.731100:0.000000 r = = = –0,996 2.:@0.073074:0.785588:0.353177:0.785588:0.353177:0.769154:0.073074:0.769154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Este resultado nos muestra que las dos variables están fuertemente correlacionadas.:@0.073074:0.823670:0.681502:0.823670:0.681502:0.807236:0.073074:0.807236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Para una deformación :@0.073074:0.861752:0.236492:0.861752:0.236492:0.845318:0.073074:0.845318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.236291:0.861752:0.243746:0.861752:0.243746:0.845346:0.236291:0.845346:0.000000 =:@0.243673:0.862334:0.263608:0.862334:0.263608:0.844680:0.243673:0.844680:0.000000:0.000000 20 mm, se obtiene::@0.263516:0.861752:0.405841:0.861752:0.405841:0.845318:0.263516:0.845318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.073074:0.903384:0.080548:0.903384:0.080548:0.886978:0.073074:0.886978:0.000000 66,4226 6 1,289 3 20 40,636 6 :@0.080474:0.903384:0.370278:0.903384:0.370278:0.886951:0.080474:0.886951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.084432:0.903967:0.099765:0.903967:0.099765:0.886313:0.084432:0.886313:0.000000 –:@0.176965:0.903967:0.186168:0.903967:0.186168:0.886313:0.176965:0.886313:0.000000 ×:@0.245569:0.903967:0.260902:0.903967:0.260902:0.886313:0.245569:0.886313:0.000000 =:@0.286506:0.903967:0.301840:0.903967:0.301840:0.886313:0.286506:0.886313:0.000000 kg:@0.380161:0.896379:0.398089:0.896379:0.398089:0.879945:0.380161:0.879945:0.000000:0.000000 mm:@0.371509:0.913409:0.401587:0.913409:0.401587:0.896975:0.371509:0.896975:0.000000:0.000000 2:@0.401497:0.907340:0.406733:0.907340:0.406733:0.897759:0.401497:0.897759:0.000000 .:@0.408014:0.903394:0.411217:0.903394:0.411217:0.886960:0.408014:0.886960:0.000000 ∑:@0.075966:0.349499:0.088244:0.349499:0.088244:0.331844:0.075966:0.331844:0.000000 5:@0.079849:0.335195:0.084610:0.335195:0.084610:0.326485:0.079849:0.326485:0.000000 i:@0.075697:0.354204:0.077908:0.354204:0.077908:0.344639:0.075697:0.344639:0.000000 =1:@0.077865:0.354204:0.089455:0.354204:0.089455:0.344623:0.077865:0.344623:0.000000:0.000000 ∑:@0.253840:0.349497:0.266118:0.349497:0.266118:0.331843:0.253840:0.331843:0.000000 5:@0.257727:0.335195:0.262488:0.335195:0.262488:0.326485:0.257727:0.326485:0.000000 i:@0.253574:0.354204:0.255785:0.354204:0.255785:0.344639:0.253574:0.344639:0.000000 =1:@0.255742:0.354204:0.267332:0.354204:0.267332:0.344623:0.255742:0.344623:0.000000:0.000000 92:@0.174669:0.340183:0.192561:0.340183:0.192561:0.323749:0.174669:0.323749:0.000000:0.000000 5:@0.179123:0.357213:0.188106:0.357213:0.188106:0.340779:0.179123:0.340779:0.000000 ∑:@0.075963:0.387559:0.088240:0.387559:0.088240:0.369905:0.075963:0.369905:0.000000 5:@0.079849:0.373074:0.085086:0.373074:0.085086:0.363493:0.079849:0.363493:0.000000 i:@0.075696:0.392430:0.077907:0.392430:0.077907:0.382865:0.075696:0.382865:0.000000 =1:@0.077864:0.392430:0.089454:0.392430:0.089454:0.382849:0.077864:0.382849:0.000000:0.000000 ∑:@0.075963:0.427050:0.088240:0.427050:0.088240:0.409395:0.075963:0.409395:0.000000 5:@0.079849:0.412564:0.085086:0.412564:0.085086:0.402983:0.079849:0.402983:0.000000 i:@0.075696:0.432809:0.077907:0.432809:0.077907:0.423244:0.075696:0.423244:0.000000 =1:@0.077864:0.432809:0.089454:0.432809:0.089454:0.423228:0.077864:0.423228:0.000000:0.000000 ∑:@0.297348:0.387917:0.309626:0.387917:0.309626:0.370263:0.297348:0.370263:0.000000 5:@0.301236:0.373431:0.306472:0.373431:0.306472:0.363849:0.301236:0.363849:0.000000 i:@0.297083:0.394573:0.299293:0.394573:0.299293:0.385008:0.297083:0.385008:0.000000 =1:@0.299250:0.394573:0.310840:0.394573:0.310840:0.384992:0.299250:0.384992:0.000000:0.000000 213,5:@0.195998:0.379496:0.234837:0.379496:0.234837:0.363062:0.195998:0.363062:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.210908:0.396526:0.219891:0.396526:0.219891:0.380092:0.210908:0.380092:0.000000 (92):@0.370842:0.461175:0.398705:0.461175:0.398705:0.444742:0.370842:0.444742:0.000000:0.000000:0.000000:0.000000 2:@0.398792:0.455112:0.404029:0.455112:0.404029:0.445531:0.398792:0.445531:0.000000 5:@0.382852:0.478201:0.391834:0.478201:0.391834:0.461767:0.382852:0.461767:0.000000 (213,5):@0.387572:0.512995:0.436374:0.512995:0.436374:0.496561:0.387572:0.496561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.436450:0.506931:0.441687:0.506931:0.441687:0.497350:0.436450:0.497350:0.000000 5:@0.410046:0.530020:0.419029:0.530020:0.419029:0.513586:0.410046:0.513586:0.000000 1:@0.291540:0.462068:0.300523:0.462068:0.300523:0.445634:0.291540:0.445634:0.000000 4:@0.291540:0.489180:0.300523:0.489180:0.300523:0.472747:0.291540:0.472747:0.000000 1:@0.289077:0.512995:0.298059:0.512995:0.298059:0.496561:0.289077:0.496561:0.000000 4:@0.289077:0.530025:0.298059:0.530025:0.298059:0.513591:0.289077:0.513591:0.000000 3 416,3 – 5 × 18,4 × 42,7:@0.233781:0.565309:0.409018:0.565309:0.409018:0.548875:0.233781:0.548875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4:@0.316908:0.582339:0.325891:0.582339:0.325891:0.565906:0.316908:0.565906:0.000000 –128,025:@0.137309:0.612326:0.203273:0.612326:0.203273:0.595892:0.137309:0.595892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 99,3:@0.155219:0.629356:0.185149:0.629356:0.185149:0.612923:0.155219:0.612923:0.000000:0.000000:0.000000:0.000000 ∑:@0.232287:0.454167:0.244565:0.454167:0.244565:0.436513:0.232287:0.436513:0.000000 5:@0.236174:0.434321:0.241411:0.434321:0.241411:0.424740:0.236174:0.424740:0.000000 i:@0.232021:0.459037:0.234232:0.459037:0.234232:0.449472:0.232021:0.449472:0.000000 =1:@0.234189:0.459037:0.245779:0.459037:0.245779:0.449456:0.234189:0.449456:0.000000:0.000000 ∑:@0.231101:0.508666:0.243378:0.508666:0.243378:0.491012:0.231101:0.491012:0.000000 5:@0.234988:0.494181:0.240225:0.494181:0.240225:0.484600:0.234988:0.484600:0.000000 i:@0.230835:0.513537:0.233045:0.513537:0.233045:0.503972:0.230835:0.503972:0.000000 =1:@0.233003:0.513537:0.244592:0.513537:0.244592:0.503956:0.233003:0.503956:0.000000:0.000000 ∑:@0.169053:0.468998:0.181331:0.468998:0.181331:0.451344:0.169053:0.451344:0.000000 5:@0.172940:0.449152:0.178177:0.449152:0.178177:0.439571:0.172940:0.439571:0.000000 i:@0.168787:0.473868:0.170998:0.473868:0.170998:0.464304:0.168787:0.464304:0.000000 =1:@0.170955:0.473868:0.182545:0.473868:0.182545:0.464288:0.170955:0.464288:0.000000:0.000000 ∑:@0.167868:0.523498:0.180146:0.523498:0.180146:0.505844:0.167868:0.505844:0.000000 5:@0.171756:0.509012:0.176992:0.509012:0.176992:0.499431:0.171756:0.499431:0.000000 i:@0.167603:0.528368:0.169813:0.528368:0.169813:0.518803:0.167603:0.518803:0.000000 =1:@0.169770:0.528368:0.181360:0.528368:0.181360:0.518787:0.169770:0.518787:0.000000:0.000000 1:@0.127628:0.459434:0.136611:0.459434:0.136611:0.443001:0.127628:0.443001:0.000000 n:@0.114393:0.476465:0.123891:0.476465:0.123891:0.460058:0.114393:0.460058:0.000000 – 1:@0.123818:0.476465:0.149845:0.476465:0.149845:0.460031:0.123818:0.460031:0.000000:0.000000:0.000000:0.000000 1:@0.126442:0.513934:0.135425:0.513934:0.135425:0.497500:0.126442:0.497500:0.000000 n:@0.113207:0.530964:0.122705:0.530964:0.122705:0.514558:0.113207:0.514558:0.000000 – 1:@0.122632:0.530964:0.148659:0.530964:0.148659:0.514530:0.122632:0.514530:0.000000:0.000000:0.000000:0.000000 x:@0.233058:0.452517:0.253472:0.452517:0.253472:0.436111:0.233058:0.436111:0.000000:0.000000:0.000000:0.000000:0.000000 i:@0.253435:0.455689:0.255678:0.455689:0.255678:0.446108:0.253435:0.446108:0.000000 n:@0.239618:0.475846:0.249116:0.475846:0.249116:0.459439:0.239618:0.459439:0.000000 y:@0.231864:0.507016:0.252296:0.507016:0.252296:0.490610:0.231864:0.490610:0.000000:0.000000:0.000000:0.000000:0.000000 i:@0.252259:0.510189:0.254502:0.510189:0.254502:0.500608:0.252259:0.500608:0.000000 n:@0.238433:0.530345:0.247931:0.530345:0.247931:0.513939:0.238433:0.513939:0.000000 2:@0.264446:0.435695:0.269207:0.435695:0.269207:0.426985:0.264446:0.426985:0.000000 2:@0.263261:0.490195:0.268022:0.490195:0.268022:0.481485:0.263261:0.481485:0.000000 x y:@0.116995:0.559006:0.154585:0.558375:0.154585:0.541969:0.116995:0.542599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 i i:@0.143867:0.561548:0.156729:0.561548:0.156729:0.551983:0.143867:0.551983:0.000000:0.000000:0.000000 – :@0.156690:0.558375:0.173809:0.558375:0.173809:0.541941:0.156690:0.541941:0.000000:0.000000:0.000000 nxy:@0.173717:0.558375:0.199126:0.558375:0.199126:0.541969:0.173717:0.541969:0.000000:0.000000:0.000000 n:@0.140344:0.582339:0.149843:0.582339:0.149843:0.565933:0.140344:0.565933:0.000000 – 1:@0.149769:0.582339:0.175797:0.582339:0.175797:0.565906:0.149769:0.565906:0.000000:0.000000:0.000000:0.000000 ∑:@0.121035:0.561606:0.133313:0.561606:0.133313:0.543952:0.121035:0.543952:0.000000 5:@0.124926:0.547116:0.130163:0.547116:0.130163:0.537535:0.124926:0.537535:0.000000 i:@0.120773:0.566472:0.122984:0.566472:0.122984:0.556907:0.120773:0.556907:0.000000 =1:@0.122941:0.566472:0.134531:0.566472:0.134531:0.556891:0.122941:0.556891:0.000000:0.000000 S:@0.100036:0.612326:0.108098:0.612326:0.108098:0.595920:0.100036:0.595920:0.000000 xy:@0.108032:0.612977:0.116810:0.612977:0.116810:0.603412:0.108032:0.603412:0.000000:0.000000 s:@0.100502:0.629351:0.106871:0.629351:0.106871:0.612945:0.100502:0.612945:0.000000 x:@0.106805:0.632524:0.111151:0.632524:0.111151:0.622959:0.106805:0.622959:0.000000 2:@0.111108:0.623290:0.116345:0.623290:0.116345:0.613709:0.111108:0.613709:0.000000 –128,025:@0.176133:0.779028:0.242097:0.779028:0.242097:0.762594:0.176133:0.762594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 99,3 × 166,325:@0.152443:0.797944:0.265629:0.797944:0.265629:0.781511:0.152443:0.781511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 S:@0.104307:0.778524:0.112370:0.778524:0.112370:0.762118:0.104307:0.762118:0.000000 xy:@0.112303:0.779175:0.121082:0.779175:0.121082:0.769610:0.112303:0.769610:0.000000:0.000000 s s:@0.100910:0.795549:0.120193:0.795549:0.120193:0.779143:0.100910:0.779143:0.000000:0.000000:0.000000 x y:@0.107213:0.798721:0.124483:0.798721:0.124483:0.789157:0.107213:0.789157:0.000000:0.000000:0.000000 :@0.111516:0.789488:0.113866:0.789488:0.113866:0.779907:0.111516:0.779907:0.000000 Predicción al usar el modelo :@0.743522:0.187825:0.913680:0.187825:0.913680:0.174379:0.743522:0.174379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de regresión, podemos :@0.743522:0.201441:0.884184:0.201441:0.884184:0.187995:0.743522:0.187995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 predecir el valor de la :@0.743522:0.215057:0.873691:0.215057:0.873691:0.201611:0.743522:0.201611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 variable dependiente para :@0.743522:0.228673:0.903151:0.228673:0.903151:0.215227:0.743522:0.215227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 nuevos valores de la variable :@0.743522:0.242289:0.916634:0.242289:0.916634:0.228843:0.743522:0.228843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 independiente. Esto es útil :@0.743522:0.255905:0.903716:0.255905:0.903716:0.242459:0.743522:0.242459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cuando tenemos datos de :@0.743522:0.269521:0.903136:0.269521:0.903136:0.256075:0.743522:0.256075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 entrenamiento y queremos :@0.743522:0.283137:0.909606:0.283137:0.909606:0.269691:0.743522:0.269691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 estimar futuros resultados.:@0.743522:0.296753:0.899530:0.296753:0.899530:0.283307:0.743522:0.283307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 En economía, la :@0.740294:0.431088:0.848328:0.431088:0.848328:0.416148:0.740294:0.416148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 correlación se usa :@0.740294:0.446217:0.861485:0.446217:0.861485:0.431277:0.740294:0.431277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 para estudiar cómo se :@0.740294:0.461346:0.889861:0.461346:0.889861:0.446406:0.740294:0.446406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 relacionan variables como :@0.740294:0.476475:0.916505:0.476475:0.916505:0.461535:0.740294:0.461535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la facturación de una :@0.740294:0.491604:0.882475:0.491604:0.882475:0.476664:0.740294:0.476664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 empresa y factores como :@0.740294:0.506733:0.910268:0.506733:0.910268:0.491793:0.740294:0.491793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el tiempo o la inversión en :@0.740294:0.521861:0.918354:0.521861:0.918354:0.506922:0.740294:0.506922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 publicidad. Por ejemplo, si :@0.740294:0.536990:0.916449:0.536990:0.916449:0.522051:0.740294:0.522051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 se analiza cómo cambia la :@0.740294:0.552119:0.916133:0.552119:0.916133:0.537179:0.740294:0.537179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 facturación a lo largo del :@0.740294:0.567248:0.906734:0.567248:0.906734:0.552308:0.740294:0.552308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tiempo, se puede observar :@0.740294:0.582377:0.920422:0.582377:0.920422:0.567437:0.740294:0.567437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 una correlación positiva :@0.740294:0.597506:0.901160:0.597506:0.901160:0.582566:0.740294:0.582566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 si las ventas aumentan :@0.740294:0.612635:0.893218:0.612635:0.893218:0.597695:0.740294:0.597695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 conforme pasan los :@0.740294:0.627764:0.873718:0.627764:0.873718:0.612824:0.740294:0.612824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 meses. De igual forma, al :@0.740294:0.642893:0.907256:0.642893:0.907256:0.627953:0.740294:0.627953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 analizar el impacto de la :@0.740294:0.658022:0.903168:0.658022:0.903168:0.643082:0.740294:0.643082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 publicidad, una correlación :@0.740294:0.673151:0.923143:0.673151:0.923143:0.658211:0.740294:0.658211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 positiva podría indicar :@0.740294:0.688280:0.889971:0.688280:0.889971:0.673340:0.740294:0.673340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que a mayor inversión :@0.740294:0.703409:0.889950:0.703409:0.889950:0.688469:0.740294:0.688469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en publicidad, mayor :@0.740294:0.718538:0.883265:0.718538:0.883265:0.703598:0.740294:0.703598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 es la facturación, lo que :@0.740294:0.733667:0.898991:0.733667:0.898991:0.718727:0.740294:0.718727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ayuda a tomar decisiones :@0.740294:0.748796:0.911801:0.748796:0.911801:0.733856:0.740294:0.733856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 estratégicas para mejorar :@0.740294:0.763924:0.909828:0.763924:0.909828:0.748985:0.740294:0.748985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los resultados financieros.:@0.740294:0.779053:0.908233:0.779053:0.908233:0.764114:0.740294:0.764114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Interdisciplinariedad :@0.740294:0.366477:0.906668:0.366477:0.906668:0.349530:0.740294:0.349530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Matemática :@0.740294:0.383119:0.830471:0.383119:0.830471:0.366685:0.740294:0.366685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y finanzas:@0.740294:0.399761:0.811162:0.399761:0.811162:0.383327:0.740294:0.383327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Competencia :@0.742665:0.145303:0.851225:0.145303:0.851225:0.128356:0.742665:0.128356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 matemática :@0.742665:0.161945:0.840141:0.161945:0.840141:0.144998:0.742665:0.144998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000