Histogramas y correlacion o dispercion

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<ul><li> 1. EJEMPLOS DEHISTOGRAMAS YDISPERCINSOFIA BECERRANANCY LEALUTTPROCESOS INDUSTRIALES</li></ul> <p> 2. EJERCICIO 1:EN UNA FABRICA RECONOCIDA SE FABRICAN TORINILLOS Y QUIERE PROVEER A UNAEMPRESA QUE FABRICA PUERTAS ESTOS SON LOS DATOS PARA SABER SI CUMPLE CONLAS ESPECIFICACIONES DE LA EMPRESA DE PUERTAS 1 2 3 4 5 6 7 8 9 1011121314151 1,519 1,643 1,482 1,557 1,553 1,451,523 1,593 1,591 1,609 1,588 1,469 1,561,582 1,5282 1,503 1,604 1,591 1,531,524 1,574 1,671,544 1,508 1,571,602 1,591,502 1,539 1,5713 1,568 1,499 1,611,578 1,584 1,503 1,507 1,592 1,592 1,539 1,561,524 1,634 1,582 1,5274 1,611,527 1,595 1,576 1,619 1,621 1,508 1,662 1,485 1,579 1,566 1,589 1,482 1,564 1,585 1,572 1,576 1,551 1,551,579 1,561,524 1,623 1,528 1,549 1,547 1,443 1,562 1,564 1,4796 1,604 1,596 1,571 1,429 1,482 1,569 1,585 1,452 1,559 1,507 1,605 1,625 1,499 1,496 1,5037 1,714 1,531 1,513 1,538 1,524 1,611 1,631,485 1,544 1,507 1,657 1,598 1,5751,51,4868 1,543 1,531,523 1,611,491 1,624 1,481,658 1,539 1,511,502 1,577 1,544 1,654 1,6079 1,657 1,621,558 1,561,575 1,539 1,623 1,552 1,569 1,542 1,545 1,545 1,585 1,561,512 10 1,471 1,575 1,504 1,613 1,621,541 1,508 1,497 1,542 1,611,629 1,589 1,612 1,571 1,586 3. 161718192021222324252627282930 1,61,512 1,568 1,557 1,448 1,553 1,458 1,538 1,542 1,477 1,574 1,504 1,572 1,624 1,5171,478 1,497 1,429 1,556 1,547 1,473 1,563 1,554 1,595 1,545 1,548 1,596 1,6961,56 1,5061,577 1,521,561 1,557 1,482 1,428 1,549 1,545 1,544 1,563 1,552 1,599 1,591 1,564 1,6451,569 1,574 1,478 1,591,608 1,573 1,529 1,619 1,563 1,513 1,542 1,595 1,525 1,496 1,5621,541 1,551 1,561 1,499 1,533 1,504 1,591 1,529 1,609 1,617 1,559 1,581 1,601 1,557 1,6581,571,625 1,552 1,503 1,586 1,4511,59 1,579 1,609 1,629 1,514 1,554 1,6481,57 1,6251,625 1,526 1,597 1,539 1,603 1,538 1,577 1,648 1,591 1,659 1,564 1,627 1,643 1,625 1,5261,568 1,515 1,631 1,495 1,519 1,673 1,592 1,565 1,585 1,439 1,574 1,528 1,584 1,568 1,5151,578 1,636 1,577 1,582 1,443 1,544 1,531 1,577 1,588 1,467 1,481 1,495 1,572 1,443 1,5441,555 1,532 1,586 1,551,601 1,616 1,551 1,583 1,518 1,569 1,529 1,628 1,475 1,601 1,616 4. Maximo= 1,7141 Minimo= 1,4292 Rango0= 0,28534Intervalos=12 5Tamao de los intervalos= 0,02375 6 Redondeado= 0,0247Ajuste=08Tamao del Intervalo Ajustado= 0,024910 Valor Inicial=1,42911 Ajuste Al Valor Inicial=012 Valor Inicial Ajustado= 1,429"Aparentes""Reales" Frecuencias Medidas de Tendencia CentralLimite Inferior Limite Superior Limite Inferior Limite Superior Marca de Clase FiFa Fr Fra MediaDesv. MediaVarianza 1,429 1,4521,42851,4525 1,44057 70,0350,035010,08350,81060,09386748 1,453 1,4761,45251,4765 1,46452 90,01 0,0450 2,929 0,18360,01685448 1,477 1,5001,47651,5005 1,488520290,1 0,1450 29,77 1,3560 0,0919368 1,501 1,5241,50051,5245 1,51252756 0,1350,280040,83751,18260,05179788 1,525 1,5481,52451,5485 1,53652884 0,14 0,4200 43,0220,55440,01097712 1,549 1,5721,54851,5725 1,560538 122 0,19 0,6100 59,2990,15960,00067032 1,573 1,5961,57251,5965 1,584536 158 0,18 0,7900 57,0421,01520,02862864 1,597 1,6201,59651,6205 1,608522 180 0,11 0,9000 35,3871,14840,05994648 1,621 1,6441,62051,6445 1,632513 193 0,0650,965021,22250,99060,07548372 1,645 1,6681,64451,6685 1,65655198 0,0250,9900 8,28250,5010 0,0502002 1,669 1,6921,66851,6925 1,68051199 0,0050,9950 1,68050,12420,01542564 1,693 1,7161,69251,7165 1,70451200 0,0051,0000 1,70450,14820,02196324Totales=311,268,1744 0,517752Media=1,5563 desv. Media= 0,040872Varianza=0,00258876desv. Estandar= 0,050879858 5. Histograma 6. EJERCICIO 2 7. EJERCICIO 3278 291 295 285 288 286 280 277 292 297 277 285 303 291 273276 291 278 290 287 286 289 285 288 273 284 281 291 286 271284 298 306 294 278 291 304 295 296 283 287 290 288 299 285282 294 282 273 295 293 290 296 285 287 286 287 286 302 284278 288 287 293 286 282 292 299 279 289 280 305 292 286 275298 285 300 285 302 276 281 275 290 284 287 275 274 282 282291 285 288 284 307 281 296 297 284 291 277 290 294 298 289302 276 284 274 267 281 301 293 290 288 291 303 284 289 286301 292 296 292 273 276 293 286 283 306 280 298 301 288 296273 277 280 294 285 294 282 278 286 291 275 273 286 279 293 8. 296 290 272 300 285 283 289 273 284 300 281 294 294 287 307299 294 292 284 287 273 300 279 284 295 282 296 276 285 289287 290 279 282 291 291 292 274 273 283 286 279 286 292 292281 276 296 287 287 289 286 294 287 282 280 305 279 287 268287 287 291 291 285 286 278 281 305 294 290 290 294 303 298301 293 289 275 277 278 306 290 279 288 291 292 285 267 292297 281 284 294 289 286 290 286 282 295 299 295 289 276 283297 277 289 303 286 286 282 279 284 284 293 299 275 286 287295 277 298 289 285 286 282 285 287 291 301 292 281 278 294280 289 292 282 289 290 302 295 297 283 297 290 272 291 280 9. Maximo = 307Minimo = 267Rango = 40Intervalos =13T amao del intervalo 3,077Redondeado4 marca deIntervalos Realesclase o categorias de intervalos claseFrecuencias Medias de tendencia central y dispercionlim.imf. lim.super. lim infe. lim.supe.X1 fifai frifrai fi xi(xi - x )fi (xi - x )^2 fi258,5262,5258,5262,5260,5 2 2 0,006666667 0,006666667 521,00 51,711336,79262,5266,5262,5266,5264,5 7 9 0,0233333330,031851,50152,97 3342,977244266,5270,5266,5270,5268,5 514 0,016666667 0,0466666671342,50 89,27 1593,707556270,5274,5270,5274,5272,5 13 27 0,0433333330,093542,50154,09 2494,892978274,5278,5274,5278,5276,5 32 59 0,106666667 0,1966666678848,00315,31 3106,821689278,5282,5278,5282,5280,5 33 92 0,110,3066666679256,50193,16 1130,629867282,5286,5282,5286,5284,5 54146 0,180,486666667 15363,00100,08 185,4816286,5290,5286,5290,5288,5 59205 0,196666667 0,683333333 17021,50126,65 271,8824889290,5294,5290,5294,5292,5 44249 0,1466666670,83 12870,00358,45 1662,386489294,5298,5294,5298,5296,5 20269 0,066666667 0,8966666675930,00202,93 2059,096889298,5302,5298,5302,5300,5 22291 0,0733333330,976611,00311,23 4402,819911302,5306,5302,5306,5304,5 7 298 0,023333333 0,9933333332131,50127,03 2305,110578306,5310,5306,5310,5308,5 2 300 0,006666667 1 617,00 44,29 980,9496889 TOTAL = 85906,0 2227,17 24873,55 x Media = 286,4Des. media 7,423911111 Varianza =82,91182222 Desv.Estan. = 9,105592909 10. 70605040 Series13020100 250 260 270 280 290 300 310 320 11. EJERCICIO 4marca declase o categorias de intervalosclaseFrecuenciasMedias de tendencia central y dispercionlim infe. lim.supe. X1 fifai frifrai fi xi (xi - x )fi(xi - x )^2 fi 1 11499.9995 11500.0215 11500.01055 50.010941 0.01094157500.050.410.03 2 11500.0215 11500.0435 11500.0325 2530 0.054705 0.065646 287500.81 1.48 0.087162 3 11500.0435 11500.0655 11500.0545 58880.126915 0.19256 667003.16 2.15 0.079602 4 11500.0655 11500.0875 11500.0765120 2080.262582 0.455142 1380009.18 0.49 0.027168 5 11500.0875 11500.1095 11500.0985102 3100.223195 0.678337 1173010.05 0.71 0.004932 6 11500.1095 11500.1315 11500.1205110 420 0.2407 0.9190371265013.26 3.18 0.092214 7 11500.1315 11500.1535 11500.1425 32 4520.070022 0.989059368004.56 1.63 0.08308 8 11500.1535 11500.1540 11500.15385 4570.010941 1 57500.770.31 0.019346TOTAL =5255541.8 10.350.43x Media = 11500.091546499Des. media0.0226506 Varianza = 0.000933 Desv.Estan. = 0.030544 12. 160140120 Series1Series2100Series380Series460Series5Series640Series720Series8 011499.950 11500.000 11500.050 11500.100 11500.150 11500.200 13. EJERCICIO 5 1 2 3 4 5 6 7 8 9 101112131415 1,61,512 1,568 1,557 1,448 1,553 1,458 1,538 1,542 1,477 1,574 1,504 1,572 1,624 1,5171,478 1,497 1,429 1,556 1,547 1,473 1,563 1,554 1,595 1,545 1,548 1,596 1,6961,56 1,5061,577 1,521,561 1,557 1,482 1,428 1,549 1,545 1,544 1,563 1,552 1,599 1,591 1,564 1,6451,569 1,574 1,478 1,591,608 1,573 1,529 1,619 1,563 1,513 1,542 1,595 1,525 1,496 1,5621,541 1,551 1,561 1,499 1,533 1,504 1,591 1,529 1,609 1,617 1,559 1,581 1,601 1,557 1,6581,571,625 1,552 1,503 1,586 1,4511,59 1,579 1,609 1,629 1,514 1,554 1,6481,57 1,6251,625 1,526 1,597 1,539 1,603 1,538 1,577 1,648 1,591 1,659 1,564 1,627 1,643 1,625 1,5261,568 1,515 1,631 1,495 1,519 1,673 1,592 1,565 1,585 1,439 1,574 1,528 1,584 1,568 1,5151,578 1,636 1,577 1,582 1,443 1,544 1,531 1,577 1,588 1,467 1,481 1,495 1,572 1,443 1,5441,555 1,532 1,586 1,551,601 1,616 1,551 1,583 1,518 1,569 1,529 1,628 1,475 1,601 1,616 14. 1617181920212223242526272829301,519 1,643 1,482 1,557 1,553 1,451,523 1,593 1,591 1,609 1,588 1,469 1,561,582 1,5281,503 1,604 1,591 1,531,524 1,574 1,671,544 1,508 1,571,602 1,591,502 1,539 1,5711,568 1,499 1,611,578 1,584 1,503 1,507 1,592 1,592 1,539 1,561,524 1,634 1,582 1,5271,611,527 1,595 1,576 1,619 1,621 1,508 1,662 1,485 1,579 1,566 1,589 1,482 1,564 1,581,572 1,576 1,551 1,551,579 1,561,524 1,623 1,528 1,549 1,547 1,443 1,562 1,564 1,4791,604 1,596 1,571 1,429 1,482 1,569 1,585 1,452 1,559 1,507 1,605 1,625 1,499 1,496 1,5031,714 1,531 1,513 1,538 1,524 1,611 1,631,485 1,544 1,507 1,657 1,598 1,5751,51,4861,543 1,531,523 1,611,491 1,624 1,481,658 1,539 1,511,502 1,577 1,544 1,654 1,6071,657 1,621,558 1,561,575 1,539 1,623 1,552 1,569 1,542 1,545 1,545 1,585 1,561,5121,471 1,575 1,504 1,613 1,621,541 1,508 1,497 1,542 1,611,629 1,589 1,612 1,571 1,586 15. "Aparentes""Reales" Frecuencias Medidas de Tendencia CentralLimite Inferior Limite Superior Limite Inferior Limite Superior Marca de Clase FiFa Fr Fra Media Desv. MediaVarianza 1,429 1,4521,42851,4525 1,44057 70,0350,035010,0835 0,81060,09386748 1,453 1,4761,45251,4765 1,46452 90,01 0,0450 2,9290,18360,01685448 1,477 1,5001,47651,5005 1,488520290,1 0,1450 29,771,3560 0,0919368 1,501 1,5241,50051,5245 1,51252756 0,1350,280040,8375 1,18260,05179788 1,525 1,5481,52451,5485 1,53652884 0,14 0,4200 43,022 0,55440,01097712 1,549 1,5721,54851,5725 1,560538 122 0,19 0,6100 59,299 0,15960,00067032 1,573 1,5961,57251,5965 1,584536 158 0,18 0,7900 57,042 1,01520,02862864 1,597 1,6201,59651,6205 1,608522 180 0,11 0,9000 35,387 1,14840,05994648 1,621 1,6441,62051,6445 1,632513 193 0,0650,965021,2225 0,99060,07548372 1,645 1,6681,64451,6685 1,65655198 0,0250,9900 8,2825 0,5010 0,0502002 1,669 1,6921,66851,6925 1,68051199 0,0050,9950 1,6805 0,12420,01542564 1,693 1,7161,69251,7165 1,70451200 0,0051,0000 1,7045 0,14820,02196324Totales=311,26 8,1744 0,517752Media=1,5563 desv. Media=0,040872 Varianza= 0,00258876 desv. Estandar= 0,050879858 16. HISTOGRAMA80706050403020100 1.32 1.37 1.42 1.47 1.52 1.57 1.62 1.67 1.72 1.77 17. 5 Ejemplos de correlacin con su interpretacin. 18. EJERCICIO 1 Tenemos que saber si la produccin de celulares en la empresaNokia tiene correlacin con las ganancias obtenidas por cada semestre.De acuerdo con los clculos se podr obtener la grfica, es decir conproduccin (x) y ganancias (y)SemestreProduccin Ganancias x2y2xy 13095.8 1292 9583978 1669264 3999773.6 23117.1 1294.59716312 1675730 4035086 3 3132.91287.3 981506216571414032982.2 4 3174.31292.2 10076180 16697814101830.5 5 3191.81287.7 10187587 16581714110080.9 6 3201.71282.7 10250883 16453194106820.6 7 3203.41284.4 102617721649683 4114447 8 3214.51284.5 103330101649940 4129025.3 9 3241.51280.6 105073221639936 4151064.9 10 3269.81283.3106915921646859 4196134.3 11 3289 1270.5 10817521 16141704178674.5 12 3324 1274.9 11048976 16253704237767.6 133326.4 1273.311064937 16212934235505.1 143335.91258.7 11128229 15843264198897.3 153339.5 1239.111152260 15353694137974.5 4845819186 1.57E+082454235361966064 19. 1310y = -0.1448x + 1746.81300 R = 0.661412901280GAN 1270ANC 1260IAS 125012401230 PRODUCCI3050 3100 3150 3200 3250 3300 3350 3400 20. Ejercicio 21.-Conocemos, para una gasolinera situada en Cartagena, la informacin acercade su recaudacin () durante las ltimas 7 semanas, as como del nmero declientes que acudieron a la misma durante estos perodos:RECAUDACIN N CLIENTES(103) ( 102)5310 685 3 55415 82383 10544 21. XY X2Y2 XY5325 9 1510 6 100 36608564 254035925155425 162015 8 225 64 1202349 68364 9 2410 5 100 25504416 1616 Y350300250200Y150100 50 00 500 1000 1500 2000 2500 3000 3500 22. EJERCICIO 3 Se realiza un estudio para determinar la asociacinentre la concentracin de nicotina en sangre de un individuo y elcontenido en nicotina de un cigarrillo. xy x2y2 XYConcentracin de nicotinaContenido de nicotina poren la sangre (nmol / litro)cigarro (mg)185.7 1.51 34484.49 2.2801 280.407197.3 0.96 38927.29 0.9216 189.408204.2 1.21 41697.64 1.4641 247.082199.9 1.66 39960.01 2.7556 331.834199.1 1.11 39640.81 1.2321 221.001192.8 0.84 37171.84 0.7056 161.952207.4 1.14 43014.76 1.2996 236.436 1831.28 334891.6384234.24234.1 1.53 54802.81 2.3409 358.173196.5 0.76 38612.25 0.5776149.342000 12401800.915.21562409.873 23. 1.81.61.41.21 Series10.8Linear (Series1)0.60.40.2 00 50 100 150 200 250 24. Ejercicio 42.-En una cofrada de pescadores las capturas de pescadoy los precios vienen dados por lasiguiente tabla:X (kg)Y(ptas/kg)2000300240028025002743000220290024028002503160200 25. XY X2Y2XY2000 300 4000000 900006000002400 280 5760000 784006720002500 274 6250000 750766850003000 220 9000000 484006600002900 240 8410000 576006960002800 250 7840000 625007000003160 200 9985600 40000632000Y 350 300 250 200 150Y 100500 0 5001000 1500 2000 2500 3000 3500 26. EJERCICIO 5EdadPeso x2 y2XY 1 9.7 1 94.09 9.7 212.2 4148.84 24.4 314.1 9198.81 42.3 415.716246.49 62.8 517.625309.7688 619.936396.01119.4 722.249492.84155.4 824.864615.04198.4 927.381745.29245.7 10 29.9100 894.01 299 11 32.6121 1062.76 358.6 12 35.7144 1274.49 428.4 13 39.7169 1576.09 516.1301.4 819 8054.52 2548.2 27. 4540353025201510 50 0 2 4 6 8 10 12 14</p>