270:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Estadística y probabilidad:@0.073089:0.043661:0.304737:0.043661:0.304737:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se dispone del conjunto de datos: :@0.293660:0.347318:0.544842:0.347318:0.544842:0.330884:0.293660:0.330884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.544551:0.347318:0.552613:0.347318:0.552613:0.330912:0.544551:0.330912:0.000000
={(:@0.552540:0.347900:0.579948:0.347900:0.579948:0.330246:0.552540:0.330246:0.000000:0.000000:0.000000
x y:@0.579856:0.347318:0.607949:0.347318:0.607949:0.330912:0.579856:0.330912:0.000000:0.000000:0.000000
i:@0.587252:0.350490:0.589495:0.350490:0.589495:0.340909:0.587252:0.340909:0.000000
 , :@0.589450:0.347318:0.600568:0.347318:0.600568:0.330884:0.589450:0.330884:0.000000:0.000000:0.000000
i:@0.607880:0.350490:0.610123:0.350490:0.610123:0.340909:0.607880:0.340909:0.000000
) ∊ ℝ:@0.610076:0.347900:0.653848:0.347900:0.653848:0.330246:0.610076:0.330246:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.653572:0.341254:0.658809:0.341254:0.658809:0.331673:0.653572:0.331673:0.000000
 | :@0.658761:0.347318:0.670579:0.347318:0.670579:0.330884:0.658761:0.330884:0.000000:0.000000:0.000000
i:@0.670487:0.347318:0.674279:0.347318:0.674279:0.330912:0.670487:0.330912:0.000000
=:@0.674205:0.347900:0.689538:0.347900:0.689538:0.330246:0.674205:0.330246:0.000000
1, …,  .:@0.689446:0.347318:0.749491:0.347318:0.749491:0.330884:0.689446:0.330884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.730826:0.347318:0.740324:0.347318:0.740324:0.330912:0.730826:0.330912:0.000000
}:@0.740250:0.347900:0.746380:0.347900:0.746380:0.330246:0.740250:0.330246:0.000000
Interesa saber qué tan precisa es la función que consiste en un polinomio de grado ≤ 1, :@0.293653:0.378258:0.931457:0.378258:0.931457:0.361824:0.293653:0.361824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtenido con el método de mínimos cuadrados, llamado recta de regresión, de modo :@0.293653:0.394899:0.930784:0.394899:0.930784:0.378466:0.293653:0.378466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que pueda ser utilizado para predecir o calcular el valor de y para un dato particular x. :@0.293653:0.411541:0.931010:0.411541:0.931010:0.395107:0.293653:0.395107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Más aún, interesa determinar cuándo hay una dependencia lineal entre las dos variables. :@0.293653:0.428183:0.931194:0.428183:0.931194:0.411749:0.293653:0.411749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para ello, obtenemos la dispersión de valores de xi alrededor de la media aritmética x. :@0.293653:0.444825:0.931078:0.444825:0.931078:0.428391:0.293653:0.428391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tomando en consideración la definición de media aritmética,:@0.293653:0.461467:0.736867:0.461467:0.736867:0.445033:0.293653:0.445033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x=:@0.549846:0.502447:0.568639:0.502447:0.568639:0.486013:0.549846:0.486013:0.000000:0.000000
i:@0.581136:0.501894:0.582515:0.501894:0.582515:0.495928:0.581136:0.495928:0.000000
=:@0.582488:0.502106:0.588064:0.502106:0.588064:0.495686:0.582488:0.495686:0.000000
1:@0.588031:0.501894:0.591297:0.501894:0.591297:0.495918:0.588031:0.495918:0.000000
x:@0.596560:0.490376:0.599948:0.490376:0.599948:0.482918:0.596560:0.482918:0.000000
i:@0.599918:0.491818:0.600938:0.491818:0.600938:0.487463:0.599918:0.487463:0.000000
n:@0.584490:0.480108:0.587944:0.480108:0.587944:0.474142:0.584490:0.474142:0.000000
Σ:@0.579520:0.496290:0.592914:0.496290:0.592914:0.477031:0.579520:0.477031:0.000000
n:@0.582790:0.515979:0.592288:0.515979:0.592288:0.499573:0.582790:0.499573:0.000000
i:@0.615220:0.509645:0.616599:0.509645:0.616599:0.503679:0.615220:0.503679:0.000000
=:@0.616572:0.509857:0.622148:0.509857:0.622148:0.503437:0.616572:0.503437:0.000000
1:@0.622114:0.509645:0.625381:0.509645:0.625381:0.503669:0.622114:0.503669:0.000000
x:@0.630645:0.498127:0.634034:0.498127:0.634034:0.490669:0.630645:0.490669:0.000000
i:@0.634004:0.499569:0.635023:0.499569:0.635023:0.495214:0.634004:0.495214:0.000000
n:@0.618575:0.487860:0.622029:0.487860:0.622029:0.481895:0.618575:0.481895:0.000000
Σ:@0.613605:0.504041:0.626999:0.504041:0.626999:0.484782:0.613605:0.484782:0.000000
nx:@0.653825:0.502450:0.670704:0.502450:0.670704:0.486044:0.653825:0.486044:0.000000:0.000000
y las propiedades del sumatorio, se tiene::@0.293660:0.539609:0.590928:0.539609:0.590928:0.523175:0.293660:0.523175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.445286:0.585399:0.446665:0.585399:0.446665:0.579433:0.445286:0.579433:0.000000
=:@0.446638:0.585611:0.452214:0.585611:0.452214:0.579191:0.446638:0.579191:0.000000
1:@0.452180:0.585399:0.455446:0.585399:0.455446:0.579423:0.452180:0.579423:0.000000
x:@0.460709:0.573880:0.464098:0.573880:0.464098:0.566422:0.460709:0.566422:0.000000
i:@0.464068:0.575322:0.465087:0.575322:0.465087:0.570967:0.464068:0.570967:0.000000
n:@0.448639:0.563614:0.452093:0.563614:0.452093:0.557648:0.448639:0.557648:0.000000
Σ:@0.443671:0.579795:0.457065:0.579795:0.457065:0.560536:0.443671:0.560536:0.000000
i:@0.537262:0.585399:0.538641:0.585399:0.538641:0.579433:0.537262:0.579433:0.000000
=:@0.538614:0.585611:0.544190:0.585611:0.544190:0.579191:0.538614:0.579191:0.000000
1:@0.544156:0.585399:0.547423:0.585399:0.547423:0.579423:0.544156:0.579423:0.000000
x:@0.552685:0.573880:0.556074:0.573880:0.556074:0.566422:0.552685:0.566422:0.000000
i:@0.556044:0.575322:0.557063:0.575322:0.557063:0.570967:0.556044:0.570967:0.000000
n:@0.540615:0.563614:0.544069:0.563614:0.544069:0.557648:0.540615:0.557648:0.000000
Σ:@0.535645:0.579795:0.549039:0.579795:0.549039:0.560536:0.535645:0.560536:0.000000
i:@0.684118:0.585399:0.685497:0.585399:0.685497:0.579433:0.684118:0.579433:0.000000
=:@0.685470:0.585611:0.691046:0.585611:0.691046:0.579191:0.685470:0.579191:0.000000
1:@0.691012:0.585399:0.694279:0.585399:0.694279:0.579423:0.691012:0.579423:0.000000
x:@0.699543:0.573880:0.702932:0.573880:0.702932:0.566422:0.699543:0.566422:0.000000
i:@0.702902:0.575322:0.703921:0.575322:0.703921:0.570967:0.702902:0.570967:0.000000
2:@0.703902:0.571125:0.706282:0.571125:0.706282:0.566770:0.703902:0.566770:0.000000
n:@0.687473:0.563614:0.690927:0.563614:0.690927:0.557648:0.687473:0.557648:0.000000
Σ:@0.682503:0.579795:0.695897:0.579795:0.695897:0.560536:0.682503:0.560536:0.000000
( – ) =:@0.467768:0.582025:0.530421:0.582025:0.530421:0.564371:0.467768:0.564371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.474910:0.581443:0.501066:0.581443:0.501066:0.565037:0.474910:0.565037:0.000000:0.000000:0.000000
2:@0.509254:0.575379:0.514491:0.575379:0.514491:0.565798:0.509254:0.565798:0.000000
( –:@0.559320:0.582025:0.592830:0.582025:0.592830:0.564371:0.559320:0.564371:0.000000:0.000000:0.000000
x:@0.566462:0.581443:0.573917:0.581443:0.573917:0.565037:0.566462:0.565037:0.000000
i:@0.574951:0.584615:0.577194:0.584615:0.577194:0.575034:0.574951:0.575034:0.000000
2:@0.577795:0.575382:0.583032:0.575382:0.583032:0.565801:0.577795:0.565801:0.000000
2:@0.593842:0.581443:0.602825:0.581443:0.602825:0.565009:0.593842:0.565009:0.000000
x x x:@0.603856:0.581443:0.647468:0.581443:0.647468:0.565037:0.603856:0.565037:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.612342:0.584615:0.614584:0.584615:0.614584:0.575034:0.612342:0.575034:0.000000
+ )=      –:@0.623667:0.582025:0.714649:0.582025:0.714649:0.564371:0.623667:0.564371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.648513:0.575379:0.653750:0.575379:0.653750:0.565798:0.648513:0.565798:0.000000
∙ ∙:@0.730586:0.576056:0.773269:0.576056:0.773269:0.543957:0.730586:0.543957:0.000000:0.000000:0.000000
i:@0.745488:0.574312:0.746867:0.574312:0.746867:0.568346:0.745488:0.568346:0.000000
=:@0.746840:0.574524:0.752416:0.574524:0.752416:0.568104:0.746840:0.568104:0.000000
1:@0.752382:0.574312:0.755649:0.574312:0.755649:0.568336:0.752382:0.568336:0.000000
x:@0.760912:0.562794:0.764300:0.562794:0.764300:0.555337:0.760912:0.555337:0.000000
i:@0.764270:0.564236:0.765289:0.564236:0.765289:0.559881:0.764270:0.559881:0.000000
n:@0.748841:0.552528:0.752295:0.552528:0.752295:0.546562:0.748841:0.546562:0.000000
Σ:@0.743871:0.568708:0.757265:0.568708:0.757265:0.549449:0.743871:0.549449:0.000000
2:@0.773102:0.553489:0.778339:0.553489:0.778339:0.543908:0.773102:0.543908:0.000000
n:@0.749713:0.591971:0.759211:0.591971:0.759211:0.575565:0.749713:0.575565:0.000000
Entonces, la dispersión de valores de xi alrededor de x está definida como::@0.293655:0.615603:0.829166:0.615603:0.829166:0.599169:0.293655:0.599169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s  =                 (x – x)  =                    x                . Nota que s:@0.388802:0.660841:0.800121:0.660841:0.800121:0.644407:0.388802:0.644407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.395596:0.664013:0.400200:0.664013:0.400200:0.654432:0.395596:0.654432:0.000000
2:@0.400157:0.654780:0.405394:0.654780:0.405394:0.645199:0.400157:0.645199:0.000000
i:@0.499955:0.664013:0.502198:0.664013:0.502198:0.654432:0.499955:0.654432:0.000000
2:@0.531790:0.654777:0.537027:0.654777:0.537027:0.645196:0.531790:0.645196:0.000000
i:@0.638647:0.664013:0.640890:0.664013:0.640890:0.654432:0.638647:0.654432:0.000000
2:@0.640847:0.654780:0.646084:0.654780:0.646084:0.645199:0.640847:0.645199:0.000000
–:@0.646034:0.661423:0.655237:0.661423:0.655237:0.643769:0.646034:0.643769:0.000000
x:@0.799858:0.664013:0.804462:0.664013:0.804462:0.654432:0.799858:0.654432:0.000000
>:@0.804415:0.661423:0.819748:0.661423:0.819748:0.643769:0.804415:0.643769:0.000000
0.:@0.819656:0.660841:0.831768:0.660841:0.831768:0.644407:0.819656:0.644407:0.000000:0.000000
Definición. La covarianza muestral se denota con cov(x, y) y se define como:@0.293668:0.698923:0.838091:0.698923:0.838091:0.682489:0.293668:0.682489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cov(x, y) = :@0.508426:0.729391:0.585858:0.729391:0.585858:0.712958:0.508426:0.712958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∑:@0.589344:0.717839:0.601622:0.717839:0.601622:0.700185:0.589344:0.700185:0.000000
n:@0.593225:0.705326:0.598259:0.705326:0.598259:0.696630:0.593225:0.696630:0.000000
i:@0.589073:0.721813:0.591284:0.721813:0.591284:0.712249:0.589073:0.712249:0.000000
=1:@0.591241:0.721813:0.602831:0.721813:0.602831:0.712232:0.591241:0.712232:0.000000:0.000000
      x:@0.585700:0.718500:0.614194:0.717876:0.614194:0.701470:0.585700:0.702094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(     )(     ):@0.601935:0.717876:0.689173:0.717869:0.689173:0.701436:0.601935:0.701442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.614122:0.721042:0.616333:0.721042:0.616333:0.711477:0.614122:0.711477:0.000000
–:@0.620252:0.718452:0.629455:0.718452:0.629455:0.700798:0.620252:0.700798:0.000000
x y:@0.633321:0.717869:0.657766:0.717869:0.657766:0.701463:0.633321:0.701463:0.000000:0.000000:0.000000
i:@0.657697:0.721042:0.659908:0.721042:0.659908:0.711477:0.657697:0.711477:0.000000
–:@0.663827:0.718452:0.673030:0.718452:0.673030:0.700798:0.663827:0.700798:0.000000
y:@0.676896:0.717869:0.684369:0.717869:0.684369:0.701463:0.676896:0.701463:0.000000
n:@0.633602:0.741834:0.643100:0.741834:0.643100:0.725428:0.633602:0.725428:0.000000
–:@0.643026:0.741834:0.652230:0.741834:0.652230:0.725150:0.643026:0.725150:0.000000
1:@0.652156:0.741834:0.661139:0.741834:0.661139:0.725400:0.652156:0.725400:0.000000
.:@0.708950:0.729393:0.712152:0.729393:0.712152:0.712959:0.708950:0.712959:0.000000
La covarianza puede ser positiva, cero o negativa. Tomando en cuenta las relaciones:@0.293663:0.760333:0.900324:0.760333:0.900324:0.743899:0.293663:0.743899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.293663:0.794837:0.301118:0.794837:0.301118:0.778431:0.293663:0.778431:0.000000
 =                   =  ,                  =                     =  ,:@0.301118:0.794837:0.669302:0.794840:0.669302:0.778407:0.301118:0.778403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.398958:0.793895:0.404380:0.793895:0.404380:0.781963:0.398958:0.781963:0.000000
i:@0.404380:0.796202:0.405988:0.796202:0.405988:0.789246:0.404380:0.789246:0.000000
nx:@0.425021:0.794840:0.441974:0.794840:0.441974:0.778434:0.425021:0.778434:0.000000:0.000000
y:@0.509676:0.794840:0.517149:0.794840:0.517149:0.778434:0.509676:0.778434:0.000000
y:@0.623051:0.793895:0.628486:0.793895:0.628486:0.781963:0.623051:0.781963:0.000000
i:@0.628486:0.796202:0.630094:0.796202:0.630094:0.789246:0.628486:0.789246:0.000000
ny:@0.649128:0.794840:0.666099:0.794840:0.666099:0.778434:0.649128:0.778434:0.000000:0.000000
se obtiene,:@0.293665:0.818624:0.372975:0.818624:0.372975:0.802191:0.293665:0.802191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∑:@0.463012:0.838428:0.475290:0.838428:0.475290:0.820774:0.463012:0.820774:0.000000
n:@0.466889:0.825031:0.471923:0.825031:0.471923:0.816336:0.466889:0.816336:0.000000
i:@0.462694:0.844199:0.464905:0.844199:0.464905:0.834634:0.462694:0.834634:0.000000
=1:@0.464905:0.844199:0.476538:0.844199:0.476538:0.834618:0.464905:0.834618:0.000000:0.000000
∑:@0.610260:0.839332:0.622538:0.839332:0.622538:0.821678:0.610260:0.821678:0.000000
n:@0.614147:0.825925:0.619181:0.825925:0.619181:0.817230:0.614147:0.817230:0.000000
i:@0.609952:0.844199:0.612163:0.844199:0.612163:0.834634:0.609952:0.834634:0.000000
=1:@0.612163:0.844199:0.623796:0.844199:0.623796:0.834618:0.612163:0.834618:0.000000:0.000000
∑:@0.458957:0.882039:0.471235:0.882039:0.471235:0.864384:0.458957:0.864384:0.000000
n:@0.462845:0.866844:0.467879:0.866844:0.467879:0.858148:0.462845:0.858148:0.000000
i:@0.461021:0.886012:0.463231:0.886012:0.463231:0.876447:0.461021:0.876447:0.000000
=1:@0.463231:0.886012:0.474864:0.886012:0.474864:0.876431:0.463231:0.876431:0.000000:0.000000
∑:@0.456586:0.926845:0.468864:0.926845:0.468864:0.909191:0.456586:0.909191:0.000000
n:@0.460472:0.913436:0.465506:0.913436:0.465506:0.904741:0.460472:0.904741:0.000000
i:@0.461021:0.931711:0.463231:0.931711:0.463231:0.922146:0.461021:0.922146:0.000000
=1:@0.463231:0.931711:0.474864:0.931711:0.474864:0.922130:0.463231:0.922130:0.000000:0.000000
∑:@0.573196:0.926845:0.585474:0.926845:0.585474:0.909191:0.573196:0.909191:0.000000
n:@0.577083:0.913436:0.582117:0.913436:0.582117:0.904741:0.577083:0.904741:0.000000
i:@0.577631:0.931711:0.579841:0.931711:0.579841:0.922146:0.577631:0.922146:0.000000
=1:@0.579841:0.931711:0.591474:0.931711:0.591474:0.922130:0.579841:0.922130:0.000000:0.000000
∑:@0.517566:0.882039:0.529844:0.882039:0.529844:0.864384:0.517566:0.864384:0.000000
n:@0.521452:0.866844:0.526486:0.866844:0.526486:0.858148:0.521452:0.858148:0.000000
i:@0.519629:0.886012:0.521840:0.886012:0.521840:0.876447:0.519629:0.876447:0.000000
=1:@0.521840:0.886012:0.533473:0.886012:0.533473:0.876431:0.521840:0.876431:0.000000:0.000000
∑:@0.572036:0.882039:0.584314:0.882039:0.584314:0.864384:0.572036:0.864384:0.000000
n:@0.575924:0.866844:0.580958:0.866844:0.580958:0.858148:0.575924:0.858148:0.000000
i:@0.574100:0.886012:0.576310:0.886012:0.576310:0.876447:0.574100:0.876447:0.000000
=1:@0.576310:0.886012:0.587943:0.886012:0.587943:0.876431:0.576310:0.876431:0.000000:0.000000
∑:@0.627258:0.882039:0.639536:0.882039:0.639536:0.864384:0.627258:0.864384:0.000000
n:@0.631145:0.866844:0.636179:0.866844:0.636179:0.858148:0.631145:0.858148:0.000000
i:@0.629321:0.886012:0.631532:0.886012:0.631532:0.876447:0.629321:0.876447:0.000000
=1:@0.631532:0.886012:0.643165:0.886012:0.643165:0.876431:0.631532:0.876431:0.000000:0.000000
       x:@0.454344:0.837682:0.486556:0.837058:0.486556:0.820652:0.454344:0.821276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  –  )(  –  ):@0.474224:0.837058:0.562545:0.837051:0.562545:0.820618:0.474224:0.820624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.486556:0.840224:0.488767:0.840224:0.488767:0.830659:0.486556:0.830659:0.000000
x y:@0.506033:0.837051:0.530717:0.837051:0.530717:0.820645:0.506033:0.820645:0.000000:0.000000:0.000000
i:@0.530717:0.840224:0.532928:0.840224:0.532928:0.830659:0.530717:0.830659:0.000000
y:@0.550194:0.837051:0.557667:0.837051:0.557667:0.820645:0.550194:0.820645:0.000000
n:@0.498138:0.860378:0.507636:0.860378:0.507636:0.843972:0.498138:0.843972:0.000000
 – 1:@0.507636:0.860378:0.533885:0.860378:0.533885:0.843944:0.507636:0.843944:0.000000:0.000000:0.000000:0.000000
      x y:@0.604949:0.837682:0.645881:0.837051:0.645881:0.820645:0.604949:0.821276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.621515:0.837058:0.626393:0.837058:0.626393:0.820624:0.621515:0.820624:0.000000
i i:@0.633848:0.840224:0.647172:0.840224:0.647172:0.830659:0.633848:0.830659:0.000000:0.000000:0.000000
 :@0.636059:0.840224:0.638409:0.840224:0.638409:0.830643:0.636059:0.830643:0.000000
 –   –   +  ):@0.647171:0.837051:0.754190:0.837051:0.754190:0.820618:0.647171:0.820618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xy:@0.664437:0.837051:0.679568:0.837051:0.679568:0.820645:0.664437:0.820645:0.000000:0.000000
i:@0.678648:0.840224:0.680859:0.840224:0.680859:0.830659:0.678648:0.830659:0.000000
yx:@0.698124:0.837051:0.715148:0.837051:0.715148:0.820645:0.698124:0.820645:0.000000:0.000000
i:@0.704677:0.840224:0.706888:0.840224:0.706888:0.830659:0.704677:0.830659:0.000000
xy:@0.734181:0.837051:0.749312:0.837051:0.749312:0.820645:0.734181:0.820645:0.000000:0.000000
n:@0.667712:0.860378:0.677210:0.860378:0.677210:0.843972:0.667712:0.843972:0.000000
 – 1:@0.677210:0.860378:0.703459:0.860378:0.703459:0.843944:0.677210:0.843944:0.000000:0.000000:0.000000:0.000000
     x y:@0.456017:0.879494:0.492105:0.878864:0.492105:0.862458:0.456017:0.863088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i  i:@0.480039:0.882036:0.494347:0.882036:0.494347:0.872455:0.480039:0.872455:0.000000:0.000000:0.000000:0.000000
 –        –        +      :@0.494348:0.878864:0.638858:0.878864:0.638858:0.862430:0.494348:0.862430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xy:@0.529929:0.878864:0.545060:0.878864:0.545060:0.862458:0.529929:0.862458:0.000000:0.000000
i:@0.545058:0.882036:0.547301:0.882036:0.547301:0.872455:0.545058:0.872455:0.000000
y x:@0.582882:0.878864:0.600589:0.878864:0.600589:0.862458:0.582882:0.862458:0.000000:0.000000:0.000000
i:@0.590355:0.882036:0.592598:0.882036:0.592598:0.872455:0.590355:0.872455:0.000000
xy:@0.637938:0.878864:0.653068:0.878864:0.653068:0.862458:0.637938:0.862458:0.000000:0.000000
n:@0.544871:0.902190:0.554369:0.902190:0.554369:0.885784:0.544871:0.885784:0.000000
 – 1:@0.554369:0.902190:0.580617:0.902190:0.580617:0.885757:0.554369:0.885757:0.000000:0.000000:0.000000:0.000000
     x y:@0.456017:0.925194:0.492072:0.924564:0.492072:0.908158:0.456017:0.908788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i i:@0.480039:0.927736:0.494283:0.927736:0.494283:0.918171:0.480039:0.918171:0.000000:0.000000:0.000000
 :@0.482249:0.927736:0.484599:0.927736:0.484599:0.918155:0.482249:0.918155:0.000000
 – :@0.494282:0.924564:0.511548:0.924564:0.511548:0.908130:0.494282:0.908130:0.000000:0.000000:0.000000
nxy:@0.511548:0.924564:0.536895:0.924564:0.536895:0.908158:0.511548:0.908158:0.000000:0.000000:0.000000
n:@0.483201:0.947890:0.492699:0.947890:0.492699:0.931484:0.483201:0.931484:0.000000
 – 1:@0.492699:0.947890:0.518948:0.947890:0.518948:0.931456:0.492699:0.931456:0.000000:0.000000:0.000000:0.000000
     x y:@0.572627:0.925194:0.608682:0.924564:0.608682:0.908158:0.572627:0.908788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i i:@0.596649:0.927736:0.610893:0.927736:0.610893:0.918171:0.596649:0.918171:0.000000:0.000000:0.000000
 :@0.598859:0.927736:0.601209:0.927736:0.601209:0.918155:0.598859:0.918155:0.000000
 –                     :@0.610892:0.924564:0.712942:0.924564:0.712942:0.908130:0.610892:0.908130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.671029:0.924564:0.678484:0.924564:0.678484:0.908158:0.671029:0.908158:0.000000
i:@0.678482:0.927736:0.680693:0.927736:0.680693:0.918171:0.678482:0.918171:0.000000
y:@0.712942:0.924564:0.720416:0.924564:0.720416:0.908158:0.712942:0.908158:0.000000
i:@0.720416:0.927736:0.722626:0.927736:0.722626:0.918171:0.720416:0.918171:0.000000
n:@0.637765:0.947888:0.647263:0.947888:0.647263:0.931482:0.637765:0.931482:0.000000
 – 1:@0.647263:0.947888:0.673512:0.947888:0.673512:0.931454:0.647263:0.931454:0.000000:0.000000:0.000000:0.000000
1:@0.636996:0.916934:0.645978:0.916934:0.645978:0.900500:0.636996:0.900500:0.000000
n:@0.636738:0.933326:0.646236:0.933326:0.646236:0.916920:0.636738:0.916920:0.000000
∑:@0.656268:0.927071:0.668546:0.927071:0.668546:0.909417:0.656268:0.909417:0.000000
n:@0.664904:0.906513:0.669938:0.906513:0.669938:0.897817:0.664904:0.897817:0.000000
i:@0.660707:0.931935:0.662918:0.931935:0.662918:0.922370:0.660707:0.922370:0.000000
=1:@0.662918:0.931935:0.674551:0.931935:0.674551:0.922354:0.662918:0.922354:0.000000:0.000000
∑:@0.699781:0.927068:0.712059:0.927068:0.712059:0.909414:0.699781:0.909414:0.000000
n:@0.703668:0.911873:0.708702:0.911873:0.708702:0.903178:0.703668:0.903178:0.000000
i:@0.704216:0.931935:0.706426:0.931935:0.706426:0.922370:0.704216:0.922370:0.000000
=1:@0.706426:0.931935:0.718059:0.931935:0.718059:0.922354:0.706426:0.922354:0.000000:0.000000
Tema 5. Dependencia lineal y Covarianza:@0.073089:0.098522:0.677479:0.098522:0.677479:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Estudiar más mejora las notas? Analiza estos datos y halla::@0.293660:0.157375:0.678076:0.157375:0.678076:0.142435:0.293660:0.142435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Media y desviación estándar de horas y notas. Covarianza entre horas y notas. Interpreta: ¿Qué :@0.293660:0.176078:0.911938:0.176078:0.911938:0.161138:0.293660:0.161138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
te dice la covarianza sobre la relación entre horas de estudio y notas? Visualiza: Haz un gráfico :@0.293660:0.191207:0.912057:0.191207:0.912057:0.176267:0.293660:0.176267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de dispersión:@0.293660:0.206336:0.382483:0.206336:0.382483:0.191396:0.293660:0.191396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Estudiante:@0.319022:0.225061:0.392492:0.225061:0.392492:0.209906:0.319022:0.209906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Hora:@0.429198:0.225061:0.462545:0.225061:0.462545:0.209906:0.429198:0.209906:0.000000:0.000000:0.000000:0.000000
Nota:@0.485992:0.225061:0.519594:0.225061:0.519594:0.209906:0.485992:0.209906:0.000000:0.000000:0.000000:0.000000
1:@0.297870:0.240240:0.306036:0.240240:0.306036:0.225300:0.297870:0.225300:0.000000
2:@0.421199:0.240240:0.429365:0.240240:0.429365:0.225300:0.421199:0.225300:0.000000
60:@0.478128:0.240240:0.494393:0.240240:0.494393:0.225300:0.478128:0.225300:0.000000:0.000000
2:@0.297870:0.255419:0.306036:0.255419:0.306036:0.240480:0.297870:0.240480:0.000000
3:@0.421199:0.255419:0.429365:0.255419:0.429365:0.240480:0.421199:0.240480:0.000000
75:@0.478128:0.255419:0.494393:0.255419:0.494393:0.240480:0.478128:0.240480:0.000000:0.000000
3:@0.297870:0.270599:0.306036:0.270599:0.306036:0.255659:0.297870:0.255659:0.000000
4:@0.421199:0.270599:0.429365:0.270599:0.429365:0.255659:0.421199:0.255659:0.000000
80:@0.478128:0.270599:0.494393:0.270599:0.494393:0.255659:0.478128:0.255659:0.000000:0.000000
4:@0.297870:0.285778:0.306036:0.285778:0.306036:0.270838:0.297870:0.270838:0.000000
1:@0.421199:0.285778:0.429365:0.285778:0.429365:0.270838:0.421199:0.270838:0.000000
55:@0.478128:0.285778:0.494393:0.285778:0.494393:0.270838:0.478128:0.270838:0.000000:0.000000
5:@0.297870:0.300957:0.306036:0.300957:0.306036:0.286018:0.297870:0.286018:0.000000
5:@0.421199:0.300957:0.429365:0.300957:0.429365:0.286018:0.421199:0.286018:0.000000
90:@0.478128:0.300957:0.494393:0.300957:0.494393:0.286018:0.478128:0.286018:0.000000:0.000000
Reto matemático:@0.302768:0.139600:0.437491:0.139600:0.437491:0.122653:0.302768:0.122653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Datos continuos son :@0.080953:0.399141:0.217479:0.399141:0.217479:0.384201:0.080953:0.384201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aquellos que se obtienen :@0.080953:0.414269:0.247538:0.414269:0.247538:0.399330:0.080953:0.399330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de medidas que se :@0.080953:0.429398:0.206875:0.429398:0.206875:0.414459:0.080953:0.414459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pueden escribir como :@0.080953:0.444527:0.226932:0.444527:0.226932:0.429588:0.080953:0.429588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números fraccionarios :@0.080953:0.459656:0.227660:0.459656:0.227660:0.444716:0.080953:0.444716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o decimales y pueden :@0.080953:0.474785:0.227240:0.474785:0.227240:0.459845:0.080953:0.459845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tomar cualquier valor :@0.080953:0.489914:0.222012:0.489914:0.222012:0.474974:0.080953:0.474974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dentro de un  :@0.080953:0.505043:0.172571:0.505043:0.172571:0.490103:0.080953:0.490103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intervalo dado. :@0.080953:0.520172:0.181001:0.520172:0.181001:0.505232:0.080953:0.505232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Anota en el cuaderno :@0.080953:0.535301:0.224424:0.535301:0.224424:0.520361:0.080953:0.520361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejemplos de datos :@0.080953:0.550430:0.203774:0.550430:0.203774:0.535490:0.080953:0.535490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
continuos.:@0.080953:0.565559:0.148567:0.565559:0.148567:0.550619:0.080953:0.550619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.080953:0.357943:0.189513:0.357943:0.189513:0.340996:0.080953:0.340996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.080953:0.374585:0.178428:0.374585:0.178428:0.357638:0.080953:0.357638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∑:@0.676248:0.647729:0.688526:0.647729:0.688526:0.630075:0.676248:0.630075:0.000000
n:@0.680134:0.634322:0.685168:0.634322:0.685168:0.625627:0.680134:0.625627:0.000000
i:@0.675982:0.651363:0.678193:0.651363:0.678193:0.641798:0.675982:0.641798:0.000000
=1 i:@0.678150:0.651363:0.699639:0.649251:0.699639:0.639670:0.678150:0.641782:0.000000:0.000000:0.000000:0.000000
∑:@0.470157:0.657200:0.482435:0.657200:0.482435:0.639546:0.470157:0.639546:0.000000
n:@0.474045:0.643791:0.479079:0.643791:0.479079:0.635096:0.474045:0.635096:0.000000
i:@0.469891:0.661778:0.472102:0.661778:0.472102:0.652213:0.469891:0.652213:0.000000
=1:@0.472059:0.661778:0.483649:0.661778:0.483649:0.652197:0.472059:0.652197:0.000000:0.000000
∑:@0.609667:0.657200:0.621945:0.657200:0.621945:0.639546:0.609667:0.639546:0.000000
n:@0.613555:0.643791:0.618589:0.643791:0.618589:0.635096:0.613555:0.635096:0.000000
i:@0.609401:0.662315:0.611612:0.662315:0.611612:0.652750:0.609401:0.652750:0.000000
=1:@0.611569:0.662315:0.623159:0.662315:0.623159:0.652734:0.611569:0.652734:0.000000:0.000000
1:@0.437165:0.652104:0.446147:0.652104:0.446147:0.635670:0.437165:0.635670:0.000000
n:@0.427887:0.671644:0.437386:0.671644:0.437386:0.655238:0.427887:0.655238:0.000000
–:@0.437312:0.672227:0.446516:0.672227:0.446516:0.654573:0.437312:0.654573:0.000000
1:@0.446424:0.671644:0.455406:0.671644:0.455406:0.655210:0.446424:0.655210:0.000000
1:@0.568795:0.652104:0.577778:0.652104:0.577778:0.635670:0.568795:0.635670:0.000000
n:@0.559518:0.671644:0.569016:0.671644:0.569016:0.655238:0.559518:0.655238:0.000000
–:@0.568942:0.672227:0.578146:0.672227:0.578146:0.654573:0.568942:0.654573:0.000000
1:@0.578054:0.671644:0.587037:0.671644:0.587037:0.655210:0.578054:0.655210:0.000000
    x:@0.677020:0.646079:0.697433:0.646079:0.697433:0.629673:0.677020:0.629673:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.683579:0.671929:0.693077:0.671929:0.693077:0.655523:0.683579:0.655523:0.000000
2:@0.708407:0.629257:0.713168:0.629257:0.713168:0.620547:0.708407:0.620547:0.000000
∑:@0.383615:0.799437:0.395892:0.799437:0.395892:0.781783:0.383615:0.781783:0.000000
n:@0.386672:0.786028:0.391706:0.786028:0.391706:0.777333:0.386672:0.777333:0.000000
i:@0.384848:0.804997:0.387059:0.804997:0.387059:0.795433:0.384848:0.795433:0.000000
=1:@0.387059:0.804997:0.398692:0.804997:0.398692:0.795416:0.387059:0.795416:0.000000:0.000000
∑:@0.608126:0.799078:0.620404:0.799078:0.620404:0.781424:0.608126:0.781424:0.000000
n:@0.612014:0.784251:0.616041:0.784251:0.616041:0.777295:0.612014:0.777295:0.000000
i:@0.607817:0.804839:0.610027:0.804839:0.610027:0.795274:0.607817:0.795274:0.000000
=1:@0.610027:0.804839:0.621660:0.804839:0.621660:0.795258:0.610027:0.795258:0.000000:0.000000
∑:@0.323090:0.785329:0.335368:0.785329:0.335368:0.767675:0.323090:0.767675:0.000000
n:@0.326976:0.771375:0.332010:0.771375:0.332010:0.762680:0.326976:0.762680:0.000000
i:@0.322780:0.789649:0.324991:0.789649:0.324991:0.780084:0.322780:0.780084:0.000000
=1:@0.324991:0.789649:0.336624:0.789649:0.336624:0.780068:0.324991:0.780068:0.000000:0.000000
∑:@0.549887:0.784784:0.562165:0.784784:0.562165:0.767129:0.549887:0.767129:0.000000
n:@0.553773:0.769588:0.558807:0.769588:0.558807:0.760893:0.553773:0.760893:0.000000
i:@0.549578:0.789649:0.551789:0.789649:0.551789:0.780084:0.549578:0.780084:0.000000
=1:@0.551789:0.789649:0.563421:0.789649:0.563421:0.780068:0.551789:0.780068:0.000000:0.000000
    :@0.326005:0.783133:0.339258:0.783133:0.339258:0.766727:0.326005:0.766727:0.000000:0.000000:0.000000:0.000000
x:@0.339257:0.782188:0.344678:0.782188:0.344678:0.770256:0.339257:0.770256:0.000000
i:@0.344678:0.784495:0.346286:0.784495:0.346286:0.777539:0.344678:0.777539:0.000000
n:@0.331397:0.805827:0.340895:0.805827:0.340895:0.789421:0.331397:0.789421:0.000000
    :@0.549238:0.783133:0.562491:0.783133:0.562491:0.766727:0.549238:0.766727:0.000000:0.000000:0.000000:0.000000
y:@0.562490:0.782188:0.567925:0.782188:0.567925:0.770256:0.562490:0.770256:0.000000
i:@0.567925:0.784495:0.569533:0.784495:0.569533:0.777539:0.567925:0.777539:0.000000
n:@0.554636:0.805827:0.564135:0.805827:0.564135:0.789421:0.554636:0.789421:0.000000
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