Trabajo Final

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Plantilla de datos(Jurgen)Base de DatosNTasa de mortalidad de Adultos en el ao 2012 (por cada 1000)hombresmujeres1Argentina2942422Bolivia9450X :Tasa de mortalidad de adultos hombres en el ao 2012 3Brasil1651224canada15284Y: Tasa de mortalidad de Adultos mujeres en el ao 20125Estados unidos75446Chile91477costa rica1591298Cuba2212179Haiti23817510Peru21010711Japn1047112India37134913Georgia835214Filipinas1105615Emiratos Arabes U.1067916China1136517Bhutan1247418Brunei19612019Bangladesh856020Afganistan864021Sierra Leona1307722Senegal24214623Sudfrica25813824Zimbawe1095225Camerun1766626Egipto26322727Ghana1054628Madagascar26822729Nigeria24216030Argelia15510631Monaco20516532Grecia703933Ucrania824334Espaa21013835Alemania26321336Francia1074937Italia904538Portugal37134639Reino Unido815340Austria15910941Islas Marshall321245El grafico nos muestra pendiente positiva42Australia1189143Nueva Zelanda11449Existe relacion directa entre X e Y44Papua Nueva Guinea905645Palau24619446Fiji44442647Islas salomon46335048Nauru24018549Tuvalu29711650kiribati390313

tasa de mortalidad (H)(Jurgen)Variable X: Tasa de mortalidad de adultos hombres en el ao 2012 1) RangoR= 463 - 70R= 3932)# IntervalosK= 1 + 3.322log(50)K= 6.64K= 7 Intervalos3)Amplitud de IntervaloA= 393/7A= 56.1428XfihiFiHi[70 - 126.14>210.42210.42[126.14 - 182.29>70.14280.56[182.29 - 238.43>70.14350.7[238.43 - 294.57>100.2450.9[294.57 - 350.71>10.02460.92[350.71 - 406.86>20.04480.96[406.86 - 463]20.04501501Media:X =98.07*21+154.22*7+210.36*7+266.5*10+322.64*1+378.79*2+434.93*250X = 184.53 El 184.53 es la tasa promedio de mortalidad de adultoshombres en el ao 2012

Mediana:Me = 126.14 + 56.14 [( 25 - 21 )/7]Me = 158.22Indica que la mitad de datos es < que 158.22 y la otra mitad de datos es > o = que 158.22 .

Moda:Mo = 70 + 56.14 [(21 )/(21+14)]Mo = 103.68En este caso la moda indica la tasa de mortalidad de adultos hombres que ms se repite en el ao 2012 y esta es igual a 103.68

tasa de mortalidad (M)(Jurgen)Variable Y: Tasa de mortalidad de Adultos mujeres en el ao 2012 1) RangoR= 426 - 39R= 3872)# IntervalosK= 1 + 3.322log(50)K= 6.64K= 7 Intervalos3)Amplitud de IntervaloA= 387/7A= 55.2857XfihiFiHi[ 39 - 94.29 >240.48240.48[94.29 - 149.57>110.22350.7[149.57 - 204.86>40.08390.78[204.86 - 260.14>60.12450.9[260.14 - 315.43>10.02460.92[315.43 - 370.71>30.06490.98[370.71 - 426]10.02501501

Media:Y =66.65x24+121.93x11+177.26x4+232.5x6+287.79x1+343.07x3+398.36x150Y = 135.2El 135.20 es la tasa promedio de mortalidad de adultos hombres en el ao 2012

Mediana:

n/2= 50/2 = 25

Me = 94.29 + 387/7 [( 25 - 24 )/11]Me =99.32Indica que la mitad de datos es < que 99.32 y la otra mitad de datos es > o = que 99.32.

Moda:Mo = + [39 + 387/7 [(24 )/(24+13)]Mo = 74.86En este caso la moda indica la tasa de mortalidad de adultos mujeres que ms se repite en el ao 2012 y esta es igual a 74.86

Cov. y coef. Corr(Jurgen)X :Tasa de mortalidad de adultos hombres en el ao 2012 Y: Tasa de mortalidad de adultos mujeres en el ao 2012 XY[39-94.29>[94.29-149.57>[149.57-204.86>[204.86-260.14>[260.14-315.43>[315.43-370.71>[370.71-426]ni[70-126.14>2100000021[126.14-182.29>43000007[182.29-238.43>03210006[238.43-294.57>02340009[294.57-350.71>01010204[350.71-406.86>00001001[406.86-463]00000112nj2595613150VARIANZAX-ao 2000Xi promniXiniXi2ni[70-126.14>98.07212059.47201972.2229[126.14-182.29>154.21571079.505166475.863575[182.29-238.43>210.3671472.52309759.3072[238.43-294.57>266.5102665710222.5[294.57-350.71>322.641322.64104096.5696[350.71-406.86>378.7852757.57286956.15245[406.86-463]434.932869.86378328.2098509226.5652157810.825525

Prom de X=184.5313

Varianza de X=9104.41583081

Desv.Estand X=95.3978657149

Y-ao 2000Yj promnjYinjYj2nj[42-50.1>46.05241105.250894.46[50.1-58.3>54.211596.232314.04[58.3-66.4>62.354249.415550.09[66.4-74.6>70.5642329821.5[74.6-82.7>78.65178.656185.8225[82.7-90.9>86.83260.422602.72[90.9-99]94.95194.959015.5025502807.8166384.135

Prom de Y=56.156

Varianza de X=174.186364174.186364

Desv.Estand X=13.1953128911

COVARIANZA

=33138.2340135-10362.5396828

=22775.6943307

La covarianza de X y Y es :22775.6943307el grado de variacion conjunto de Las variables X e Yrxy=18.0931121097

El coeficiente de correlacin es:18.0931121097

Anal. reg y cor. Lin.(Jurgen)NXYXYX2Y2Y aproxY-Yaprox(Y-Yaprox)21294242711488643658564133.8606742783108.139325721711694.113767544629450470088362500132.3539481242-82.35394812426782.17277164043165122201302722514884132.8888359089-10.8888359089118.5667474508x : Tasa de mortalidad de adultos hombres en el ao 2012 (por cada 1000)41528412768231047056132.7908987089-48.79089870892380.5517968197y: Tasa de mortalidad de adultos mujeres en el ao 2012 (por cada 1000)57544330056251936132.2108091395-88.21080913957781.146849052469147427782812209132.3313472319-85.33134723197281.43882040597159129205112528116641132.8436341243-3.843634124314.77352328128221217479574884147089133.31071923283.6892807687003.89571545769238175416505664430625133.438790955141.56120904491727.334097270210210107224704410011449133.2278492936-26.2278492936687.900078566111104717384108165041132.4292844319-61.42928443193773.556985813712371349129479137641121801134.4407638476214.559236152446035.6658182879138352431668892704132.2710781857-80.27107818576443.445993095614110566160121003136132.4744862165-76.47448621655848.347042079315106798374112366241132.4443516934-53.44435169342856.298727930916113657345127694225132.4970871088-67.49708710884555.85676817617124749176153765476132.5799570473-58.57995704733431.611367663418196120235203841614400133.1223784628-13.1223784628172.1968165204198560510072253600132.2861454472-72.28614544725225.2868236204208640344073961600132.293679078-92.2936790788518.123197756211307710010169005929132.6251588319-55.62515883193094.158295076622242146353325856421316133.468925478212.5310745218157.027828670223258138356046656419044133.58946357064.410536429419.452831595524109525668118812704132.4669525857-80.46695258576474.9304584358251766611616309764356132.9717058474-66.97170584744485.209384106526263227597016916951529133.627131724493.37286827568718.492530010927105464830110252116132.4368180627-86.43681806277471.32351679728268227608367182451529133.664799878393.33520012178711.459581764929242160387205856425600133.468925478226.5310745218703.897915279930155106164302402511236132.8134996012-26.8134996012718.963760862831205165338254202527225133.190181139731.80981886031011.8645759241327039273049001521132.1731409857-93.17314098578681.2342011388338243352667241849132.2635445549-89.26354455497967.980386510834210138289804410019044133.22784929364.772150706422.773422364935263213560196916945369133.627131724479.37286827566300.052218294336107495243114492401132.4518853242-83.45188532426964.2171641633379045405081002025132.3238136011-87.32381360117625.448421839538371346128366137641119716134.4407638476211.559236152444757.3104013737398153429365612809132.2560109242-79.25601092426281.515267611240159109173312528111881132.8436341243-23.8436341243568.518888252413212457864510304160025134.0640823091110.935917690912306.7778339216421189110738139248281132.5347552627-41.53475526271725.135894730343114495586129962401132.5046207396-83.50462073966973.0216848633449056504081003136132.3238136011-76.32381360115825.324522615345246194477246051637636133.499060001360.50093999873660.363740725246444426189144197136181476134.9907188939291.009281106184686.401689898847463350162050214369122500135.1338578785214.866142121546167.459030166248240185444005760034225133.453858216751.54614178332657.004732745549297116344528820913456133.8832751706-17.8832751706319.81153082775039031312207015210097969134.5839028323178.416097167731832.30372856419386665317161642277670459221.719147563

Media X=187.72Media Y=133.06b=263174-259288.682277670-1761939.92b=0.0075336308a=133.06-1.4142131683COEFICIENTE DE REGRECION a=131.6457868317a =131.6b = 0.008Y aprox=131.6457868317+0.0075336308XERROR ESTANDAR Se=9567.1191489076

Se=97.8116513965la ecuacion de regrecion lineal no es totalmente confiable pero nos ayuda a tener una idea cercana buena descripcion entre X e Y

COEFICIENTE DE DETERMINACIONel 91 % de la variacion de Y esta asociada o relacionada con la variacion de xel 9 % de la variacion de Y no esta expliacada por la variacion de xCOEFICIENTE DECORRELACION0 < r 10.02baja7costa rica76[33.14 - 44.29>20.04precario8Cuba86[44.29 -55.43>20.04estandar9Haiti79[55.43 - 66.57>40.08normal10Peru93[66.57 - 77.71>20.04bueno11Japn80[77.71 - 88.86>120.24muy bueno12India62[88.86 - 100]270.54excelente13Georgia10050114Filipinas9515Emiratos Arabes U.8016China9517Bhutan9118Brunei9619Bangladesh10020Afganistan10021Sierra Leona9922Senegal9123Sudfrica8824Zimbawe10025Camerun8926Egipto7127Ghana9928Madagascar6129Nigeria8130Argelia9331Monaco8032Grecia10033Ucrania10034Espaa5935Alemania3836Francia10037Italia9338Portugal5539Reino Unido10040Austria9241Islas Marshall3542Australia8143Nueva Zelanda9844Papua Nueva Guinea10045Palau6646Fiji4747Islas salomon8748Nauru9449Tuvalu9750kiribati80

Planilla Datos(Julio)Obesidad en adultos mayores de 20 aos en adelante

NPaisesHombre Mujeres1Afganistan1.503.302Alemania23.1019.203Argelia10.7024.304Argentina27.4031.005Australia25.2024.906 Austria19.2017.107Bangladesh1.001.308Bhutan4.706.609Bolivia10.0027.1010Brasil16.5022.1011Brunei Darussalam8.507.2012Camern7.0015.1013Canad24.6023.9014Chile24.5033.6015China4.606.5016Costa Rica20.9028.3017Cuba13.3027.5018Egipto22.5046.3019Emiratos Arabes U.30.2043.0020Espaa24.9023.0021Estados Unidos30.2033.2022Fiji21.3042.2023Filipinas4.508.3024Francia16.8014.6025Georgia15.9025.7026Ghana4.4011.7027Grecia18.8016.1028Hait8.408.4029India1.302.5030Islas Marshall38.8053.9031Islas Salomn25.3039.2032Italia19.3014.9033Japn5.503.5034Kiribati57.7053.6035Madagascar1.801.5036Mnaco20.2019.5037Nauru67.5074.7038Nigeria5.109.0039Nueva Zelandia26.2027.7040Palau44.9056.3041Papua Nueva Guinea11.8020.1042Per11.1021.7043Portugal20.4022.3044Reino Unido24.4025.2045Senegal3.2012.5046Sierra Leona3.6010.1047Sudfrica23.2042.8048Tuvalu33.1038.3049Ucrania15.5023.6050Zimbabwe2.8013.80

% de Obesidad(Julio)Mujeres1Afganistan1.503.301) Rango2Alemania23.1019.20V.Min=13Argelia10.7024.30V.Max=67.54Argentina27.4031.00R=V.Max-Vmin66.55Australia25.2024.906 Austria19.2017.102)N de Intervalos 7Bangladesh1.001.30k=1+3.322Log(n)8Bhutan4.706.60k=1+3.322Log(50)9Bolivia10.0027.10k= 6.6439..k=710Brasil16.5022.1011Brunei Darussalam8.507.203) Amplitud de los intervalos12Camern7.0015.10A=R/k13Canad24.6023.90A=66.5/7A= 9.514Chile24.5033.6015China4.606.50XfihiFiHi16Costa Rica20.9028.30[1.0- 10.5[5.75170.34170.3417Cuba13.3027.50[10.5 - 20.0[15.25100.20270.5418Egipto22.5046.30[20.0 - 29.5[24.75160.32430.8619Emiratos Arabes U.30.2043.00[29.5 - 39.0[34.2550.10480.9620Espaa24.9023.00[39.0 - 48.5[43.7510.02490.9821Estados Unidos30.2033.20[48.5 - 58.0[53.2500.00490.9822Fiji21.3042.20[58.0 - 67.5]62.7510.0250123Filipinas4.508.3050124Francia16.8014.6025Georgia15.9025.7026Ghana4.4011.7027Grecia18.8016.1028Hait8.408.4029India1.302.5030Islas Marshall38.8053.9031Islas Salomn25.3039.2032Italia19.3014.9033Japn5.503.5034Kiribati57.7053.6035Madagascar1.801.5036Mnaco20.2019.5037Nauru67.5074.7038Nigeria5.109.0039Nueva Zelandia26.2027.7040Palau44.9056.3041Papua Nueva Guinea11.8020.1042Per11.1021.7043Portugal20.4022.3044Reino Unido24.4025.2045Senegal3.2012.5046Sierra Leona3.6010.1047Sudfrica23.2042.8048Tuvalu33.1038.3049Ucrania15.5023.6050Zimbabwe2.8013.801) RangoV.Min =1.3V.Max=74.7R=V.Max-Vmin73.42)N de Intervalos k=1+3.322Log(n)k=1+3.322Log(50)k= 6.6439..k=73) Amplitud de los intervalosA=R/kA=73.4/7A=10.485..XfihiFiHi[1.3 - 11.8[6.55130.26130.26[11.8 - 22.3[17.05120.24250.5[22.3 - 32.7[27.5130.26380.76[32.7 - 43.2[37.9580.16460.92[43.2 - 53.7[48.4520.04480.96[53.7 - 64.2[58.9510.02490.98[64.2 - 74.7]69.4510.02501501

Distr.Bidimensional(Julio)[1.3 - 11.8[[11.8 - 22.3[[22.3 - 32.7[[32.7 - 43.2[[43.2 - 53.7[[53.7 - 64.2[[64.2 - 74.7][1.0- 10.5[1331000017489.6125294.1125158.125[10.5 - 20.0[0640000101560.0751677.5[20.0 - 29.5[0384100161265.962554453757.05[29.5 - 39.0[000311053899.36251659.41252019.0375[39.0 - 48.5[000100011660.3125154.14872[48.5 - 58.0[000000004357.9875[58.0 - 67.5]0000001113121382115013233.31259076.0255934.21251199.137529442.6875588.85376-434.70504154.148720.868876177.4115VarianzafiX * fiX*X*fiYfiYfiY*Y*fi[1.0- 10.5[5.751797.75562.0625[1.3 - 11.8[6.551385.15557.7325[10.5 - 20.0[15.2510152.52325.625[11.8 - 22.3[17.0512204.63488.43[20.0 - 29.5[24.75163969801[22.3 - 32.7[27.513357.59831.25[29.5 - 39.0[34.255171.255865.3125[32.7 - 43.2[37.958303.611521.62[39.0 - 48.5[43.75143.751914.0625[43.2 - 53.7[48.45296.94694.805[48.5 - 58.0[53.25000[53.7 - 64.2[58.95158.953475.1025[58.0 - 67.5]62.75162.753937.5625[64.2 - 74.7]69.45169.454823.302534.2592424405.625265.937.98571428571176.1538392.2425Promedio =924/5018.48Promedio23.523

24405.625/50 488.112538392.2425/50767.84485488.1125-(18.48)(18.48)146.6021767.84485-(23.523)(23.523)214.51332112.1079354114.64627328

Analisis de Regresion(Julio)NXYXYX2Y2Y aproxY-Yaprox(Y-Yaprox)2Yaprox - promY-yprom 211.503.304.952.2510.896.4701536684-3.170153668410.049874281123.564-17.0938463316292.1995824093-20.264410.630223.1019.20443.52533.61368.6428.7583995191-9.558399519191.363001366723.5645.194399519126.981786364-4.36419.044310.7024.30260.01114.49590.4915.96329541968.336704580469.500643260723.564-7.600704580457.77071011840.7360.542427.4031.00849.4750.7696133.1954114246-2.19541142464.819831323123.5649.631411424692.76408602937.43655.294525.2024.90627.48635.04620.0130.9253123101-6.025312310136.304388434823.5647.361312310154.18891892751.3361.785619.2017.10328.32368.64292.4124.7341329072-7.634132907258.279985244223.5641.17013290721.3692110204-6.46441.78371.001.301.311.695.9542220515-4.654222051521.661782904323.564-17.6097779485310.104279397-22.264495.68684.706.6031.0222.0943.569.7721160166-3.172116016610.062320022923.564-13.7918839834190.2160638108-16.964287.777910.0027.10271100734.4115.240991155911.8590088441140.636090763823.564-8.323008844169.27247621853.53612.5031016.5022.10364.65272.25488.4121.94810217580.15189782420.02307294923.564-1.61589782422.6111257782-1.4642.143118.507.2061.272.2551.8413.6931963052-6.493196305242.161598257623.564-9.870803694897.4327655816-16.364267.780127.0015.10105.749228.0112.14540145442.95459854568.729652565423.564-11.4185985456130.3843927447-8.46471.6391324.6023.90587.94605.16571.2130.3061943698-6.406194369841.039326304223.5646.742194369845.45718492080.3360.1131424.5033.60823.2600.251128.9630.20300804653.396991953511.539554332423.5646.639008046544.07642784110.036100.721154.606.5029.921.1642.259.6689296932-3.168929693210.042115400723.564-13.8950703068193.0729788297-17.064291.1801620.9028.30591.47436.81800.8926.48830040471.81169959533.282255423723.5642.92430040478.55153285684.73622.4301713.3027.50365.75176.89756.2518.64613982768.853860172478.39083995323.564-4.917860172424.18534867563.93615.4921822.5046.301041.75506.252143.6928.139281578818.1607184212329.81169357423.5644.575281578820.933201525322.736516.9261930.2043.001298.6912.04184936.08462847936.915371520747.822363269423.56412.5206284793156.766137516519.436377.7582024.9023.00572.7620.0152930.61575334-7.6157533457.999698935623.5647.0517533449.7272251681-0.5640.3182130.2033.201002.64912.041102.2436.0846284793-2.88462847938.321081463523.56412.5206284793156.76613751659.63692.8522221.3042.20898.86453.691780.8426.901045698215.2989543018234.058002728423.5643.337045698211.135873991918.636347.300234.508.3037.3520.2568.899.5657433699-1.26574336991.602106278323.564-13.9982566301195.9511886832-15.264232.9902416.8014.60245.28282.24213.1622.257661146-7.65766114658.639774226523.564-1.3063388541.7065212015-8.96480.3532515.9025.70408.63252.81660.4921.32898423554.371015764519.105778813323.564-2.23501576454.99529546752.1364.562264.4011.7051.4819.36136.899.46255704652.23744295355.006150970323.564-14.1014429535198.8506933714-11.864140.7542718.8016.10302.68353.44259.2124.3213876136-8.221387613667.591214293623.5640.75738761360.5736359973-7.46455.711288.408.4070.5670.5670.5613.5900099818-5.190009981826.936203611223.564-9.973990018299.4804768832-15.164229.947291.302.503.251.696.256.2637810216-3.763781021614.166047578623.564-17.3002189784299.2975767004-21.064443.6923038.8053.902091.321505.442905.2144.95865229028.941347709879.94769886723.56421.3946522902457.731146619930.336920.2733125.3039.20991.76640.091536.6431.02849863358.171501366566.773434582323.5647.464498633555.718739849915.636244.4843219.3014.90287.57372.49222.0124.8373192305-9.937319230598.750313489823.5641.27331923051.6213418629-8.66475.065335.503.5019.2530.2512.2510.5976066037-7.097606603750.376019500823.564-12.9663933963168.1273577078-20.064402.5643457.7053.603092.723329.292872.9664.4608674096-10.8608674096117.958440889323.56440.89686740961672.553763919930.036902.161351.801.502.73.242.256.7797126385-5.279712638527.875365545423.564-16.7842873615281.7123022327-22.064486.8203620.2019.50393.9408.04380.2525.765996141-6.26599614139.262707638923.5642.2019961414.8487870049-4.06416.5163767.5074.705042.254556.255580.0974.57312710120.12687289880.016096732523.56451.00912710122601.931047621551.1362614.890385.109.0045.926.018110.1848613102-1.18486131021.403896324323.564-13.3791386898179.001352082-14.564212.1103926.2027.70725.74686.44767.2931.957175544-4.25717554418.123543612223.5648.39317554470.4453957124.13617.1064044.9056.302527.872016.013169.6951.25301801665.046981983425.472027140823.56427.6890180166766.681718723332.7361071.6464111.8020.10237.18139.24404.0117.09834497683.00165502329.009932878223.564-6.465655023241.8046948788-3.46411.9994211.1021.70240.87123.21470.8916.37604071315.323959286928.344542488123.564-7.187959286951.6667587096-1.8643.4744320.4022.30454.92416.16497.2925.9723687878-3.672368787813.486292513323.5642.40836878785.8002402179-1.2641.5984424.4025.20614.88595.36635.0430.0998217231-4.899821723124.00825291823.5646.535821723142.71696559591.6362.676453.2012.504010.24156.258.22432116594.275678834118.281429492523.564-15.3396788341235.3057467339-11.064122.412463.6010.1036.3612.96102.018.63706645941.46293354062.140174544223.564-14.9269335406222.813344925-13.464181.2794723.2042.80992.96538.241831.8428.861585842513.9384141575194.279389226523.5645.297585842528.064415758519.236370.0244833.1038.301267.731095.611466.8939.0770318574-0.77703185740.603778507423.56415.5130318574240.654157408714.736217.1504915.5023.60365.8240.25556.9620.9162389422.6837610587.202573416523.564-2.6477610587.01063862030.0360.001502.8013.8038.647.84190.447.81157587245.988424127635.861223532623.564-15.7524241276248.1388658973-9.76495.336903.31178.231190.9125918.692368.123582371110221.171617628912589.30

0.8118938714Media X18.066Media Y23.564b31190.9121285.361225918.6916319.0178b1.0318632338a23.56418.6416411824a4.9223588176Y aprox4.92235881761.0318632338XERROR ESTANDAR Se=49.3359079661

Se=7.0239524462

% de Tens art alta(Julio) 1Afganistan22.813.72Alemania31.120.73Argelia33.933.24Argentina3117.95Australia22.813.76 Austria28.719.87Bangladesh27.427.98Bhutan2926.99Bolivia30.723.510Brasil39.426.611Brunei Darussalam23.616.912Camern35.629.813Canad17.413.214Chile39.427.415China29.825.616Costa Rica31.622.517Cuba33.228.718Egipto27.12719Emiratos Arabes U.30.421.220Espaa27.718.621Estados Unidos1714.222Fiji32.529.723Filipinas28.723.624Francia29.116.725Georgia42.634.326Ghana32.731.627Grecia25.119.828Hait33.628.129India23.122.630Islas Marshall29.622.731Islas Salomn26.525.932Italia28.620.633Japn26.416.734Kiribati31.221.635Madagascar40.637.536Mnaco30.921.737Nauru40.329.938Nigeria38.641.239Nueva Zelandia22.815.140Palau34.625.541Papua Nueva Guinea21.118.142Per2619.643Portugal34.524.344Reino Unido27.719.145Senegal37.934.446Sierra Leona4140.547Sudfrica39.934.948Tuvalu29.122.549Ucrania45.835.450Zimbabwe36.936.4

Org.y pres de dat.(Julio)1Afganistan22.813.71) Rango2Alemania31.120.7V.Min=173Argelia33.933.2V.Max=45.84Argentina3117.9R=V.Max-Vmin28.25Australia22.813.76 Austria28.719.82)N de Intervalos 7Bangladesh27.427.9k=1+3.322Log(n)8Bhutan2926.9k=1+3.322Log(50)9Bolivia30.723.5k= 6.6439..k=710Brasil39.426.611Brunei Darussalam23.616.93) Amplitud de los intervalos12Camern35.629.8A=R/k13Canad17.413.2A=28.8/7A=4.114..14Chile39.427.415China29.825.6XfihiFiHi16Costa Rica31.622.5[17.0- 22.11[19.530.0630.0617Cuba33.228.7[22.11 - 25.22[23.650.180.1618Egipto27.127[25.22 - 29.34[27.28140.28220.4419Emiratos Arabes U.30.421.2[29.34 - 33.46[31.4130.26350.720Espaa27.718.6[33.46 - 37.57[35.550.1400.821Estados Unidos1714.2[37.57 - 41.68[39.660.12460.9222Fiji32.529.7[41.68 - 45.8]43.740.0850123Filipinas28.723.650124Francia29.116.725Georgia42.634.326Ghana32.731.627Grecia25.119.828Hait33.628.129India23.122.630Islas Marshall29.622.731Islas Salomn26.525.932Italia28.620.633Japn26.416.734Kiribati31.221.635Madagascar40.637.536Mnaco30.921.737Nauru40.329.938Nigeria38.641.239Nueva Zelandia22.815.140Palau34.625.541Papua Nueva Guinea21.118.142Per2619.643Portugal34.524.344Reino Unido27.719.145Senegal37.934.446Sierra Leona4140.547Sudfrica39.934.948Tuvalu29.122.549Ucrania45.835.450Zimbabwe36.936.41) RangoV.Min=13.2V.Max=67.5R=V.Max-Vmin54.32)N de Intervalos k=1+3.322Log(n)k=1+3.322Log(50)k= 6.6439..k=73) Amplitud de los intervalosA=R/kA=66.5/7A= 9.5XfihiFiHi[13.2- 17.1[15.1570.1470.14[17.1 - 21.0[19.0590.18160.32[21.0 - 24.9[22.9590.18250.5[24.9 - 28,8[26.85120.24370.74[28.8 - 32.7[30.7550.10420.84[32.7 -36.6[34.6550.10470.94[36.6 - 40.5]38.5530.06501501

Hoja9(Julio)[13.2 - 17.1[[17.1 - 21.0[[21.0 - 24.9[[24.9 - 28.8[[28.8 - 32.7[[32.7 - 36.6[[36.6 - 40.5][17.0- 22.11[21000003592.365372.4275[22.11 - 25.22[311000051075.347450.723542.997[25.22 - 29.34[252500014826.5842598.421252.1523662.34[29.34 - 33.46[0262300131196.344323.781686.182896.65[33.46 - 37.57[000311052860.33051091.93251230.4215[37.57 - 41.68[000212162127.5941218.3152745.6661527.351[41.68 - 45.8]000002243031.1823372.354799125535011709.742513427.9527457.4165Varianza8086.341XfiX * fiX*X*fiYfiYfiY*Y*fi40681.452[17.0- 22.11[19.55358.651146.6075[13.2 - 17.1[15.157106.051606.6575813.62904777.96478835.664252[22.11 - 25.22[23.665118.32798.978[17.1 - 21.0[19.059171.453266.12250.8290485402[25.22 - 29.34[27.2814381.9210418.7776[21.0 - 24.9[22.959206.554740.3225[29.34 - 33.46[31.413408.212817.48[24.9 - 28.8[26.8512322.28651.07[33.46 - 37.57[35.515177.556304.8005[28.8 - 32.7[30.755153.754727.8125[37.57 - 41.68[39.626237.729418.4664[32.7 - 36.6[34.655173.256003.1125[41.68 - 45.8]43.744174.967652.7504[36.6 - 40.5]38.553115.654458.307531.53714285711557.350557.860426.851248.933453.405Promedio =31.146Promedio24.978

1011.157208970.073316669.0681623.90048441.08389245.1676166.400966.7206

Anal. de regr.(Julio)NXYXYX2Y2Y aproxY-Yaprox(Y-Yaprox)224.78Yaprox - promy - y prom 2122.813.7312.36519.84187.6917.1242698146-3.424269814611.72562376324.78-7.655730185458.6102046721-11.08122.7664231.120.7643.77967.21428.4924.930481183-4.23048118317.896971039824.780.1504811830.0226445864-4.0816.6464333.933.21125.481149.211102.2427.56390188565.636098114431.76560195524.782.78390188567.75010970878.4270.896443117.9554.9961320.4124.8364304436-6.936430443648.114067299324.780.05643044360.003184395-6.8847.3344522.813.7312.36519.84187.6917.1242698146-3.424269814611.72562376324.78-7.655730185458.6102046721-11.08122.7664628.719.8568.26823.69392.0422.6732634379-2.87326343798.255642783724.78-2.10673656214.438338942-4.9824.8004727.427.9764.46750.76778.4121.4506038266.44939617441.594711009324.78-3.32939617411.08487888353.129.734482926.9780.1841723.6122.95541565613.944584343915.559745646524.78-1.82458434393.32910802822.124.4944930.723.5721.45942.49552.2524.5542782255-1.05427822551.111502576724.78-0.22572177450.0509503195-1.281.63841039.426.61048.041552.36707.5632.7366925514-6.136692551437.658995470924.787.956692551463.30895635821.823.31241123.616.9398.84556.96285.6117.8766757296-0.97667572960.953895480824.78-6.903324270447.6558859823-7.8862.09441235.629.81060.881267.36888.0429.16276445510.63723554490.406069139724.784.382764455119.20862426855.0225.20041317.413.2229.68302.76174.2412.04552988811.15447011191.332801239224.78-12.7344701119162.1667290305-11.58134.09641439.427.41079.561552.36750.7632.7366925514-5.336692551428.480287388624.787.956692551463.30895635822.626.86441529.825.6762.88888.04655.3623.70782157111.89217842893.580339206924.78-1.07217842891.14956658340.820.67241631.622.5711998.56506.2525.4007348799-2.90073487998.414262843524.780.62073487990.3853117911-2.285.19841733.228.7952.841102.24823.6926.905546711.794453293.220062610124.782.125546714.51794881623.9215.36641827.127731.7734.4172921.16845160795.831548392134.006956649924.78-3.611548392113.04328178882.224.92841930.421.2644.48924.16449.4424.2721260074-3.07212600749.437958205124.78-0.50787399260.2579359924-3.5812.81642027.718.6515.22767.29345.9621.7327560441-3.13275604419.81416043224.78-3.04724395599.2856957266-6.1838.1924211714.2241.4289201.6411.66932693062.53067306946.404306184224.78-13.1106730694171.8897483327-10.58111.93642232.529.7965.251056.25882.0926.24719153433.452808465711.921886300724.781.46719153432.15265099834.9224.20642328.723.6677.32823.69556.9622.67326343790.92673656210.858840655524.78-2.10673656214.438338942-1.181.39242429.116.7485.97846.81278.8923.0494663954-6.349466395440.315723506724.78-1.73053360462.9947465565-8.0865.28642542.634.31461.181814.761176.4935.7463162116-1.44631621162.091830583824.7810.9663162116120.2600912529.5290.63042632.731.61033.321069.29998.5626.43529301315.164706986926.674198260924.781.65529301312.73999495916.8246.51242725.119.8496.98630.01392.0419.28743682030.51256317970.262721013224.78-5.492563179730.1682502832-4.9824.80042833.628.1944.161128.96789.6127.28174966750.81825033250.669533606724.782.50174966756.25875139873.3211.02242923.122.6522.06533.61510.7617.40642203275.193577967326.973252102424.78-7.373577967354.3696520398-2.184.75243029.622.7671.92876.16515.2923.5197200923-0.81972009230.671941029824.78-1.26027990771.5883054457-2.084.32643126.525.9686.35702.25670.8120.60414717165.295852828428.046057180324.78-4.175852828417.43774684461.121.25443228.620.6589.16817.96424.3622.5792126985-1.97921269853.91728290624.78-2.20078730154.8434647463-4.1817.47243326.416.7440.88696.96278.8920.5100964322-3.810096432214.516834822724.78-4.269903567818.2320764783-8.0865.28643431.221.6673.92973.44466.5625.0245319224-3.424531922411.727418887424.780.24453192240.0597958611-3.1810.11243540.637.51522.51648.361406.2533.8653014243.63469857613.211033738524.789.08530142482.542701964712.72161.79843630.921.7670.53954.81470.8924.7423797042-3.04237970429.256074264824.78-0.03762029580.0014152867-3.089.48643740.329.91204.971624.09894.0133.5831492059-3.683149205913.565588072624.788.803149205977.49543594055.1226.21443838.641.21590.321489.961697.4431.98428663649.215713363684.929372799824.787.204286636451.901745939616.42269.61643922.815.1344.28519.84228.0117.1242698146-2.02426981464.097668282224.78-7.655730185458.6102046721-9.6893.70244034.625.5882.31197.16650.2528.2222570613-2.72225706137.410683507624.783.442257061311.84913367580.720.51844121.118.1381.91445.21327.6115.52540724512.57459275496.628527853424.78-9.254592754985.6474870585-6.6844.6224422619.6509.6676384.1620.1338934747-0.53389347470.285042242324.78-4.646106525321.5863058445-5.1826.83244334.524.3838.351190.25590.4928.1282063219-3.828206321914.655163642924.783.348206321911.2104855739-0.480.23044427.719.1529.07767.29364.8121.7327560441-2.63275604416.931404387924.78-3.04724395599.2856957266-5.6832.26244537.934.41303.761436.411183.3631.32593146083.07406853929.449897383924.786.545931460842.8492186899.6292.5444464140.51660.516811640.2534.24150438156.258495618539.168767406724.789.461504381589.520065161215.72247.11844739.934.91392.511592.011218.0133.20694624831.69305375172.86643100624.788.426946248371.013423072410.12102.41444829.122.5654.75846.81506.2523.0494663954-0.54946639540.301913319724.78-1.73053360462.9947465565-2.285.19844945.835.41621.322097.641253.1638.7559398717-3.355939871711.262332422424.7813.9759398717195.326895296910.62112.78445036.936.41343.161361.611324.9630.3854240676.01457593336.175123654124.785.60542406731.420778970611.62135.02441547123940257.9649909.14760.30212952821808.87787047182569.18

0.7040681737Media X30.94Media Y24.78b40257.9638334.6649909.1447864.18b0.9405073938a24.7829.0992987638a-4.3192987638Y aprox-4.31929876380.9405073938XERROR ESTANDAR Se=15.8396276985

Se=3.979902976

Plantilla de datos(Gabriel)Base de DatosNEsperanza de vida en aos(2012)hombresmujeres1Argentina73792Bolivia6570X :ESPERANZA DE VIDA AL NACER HOMBRES (AOS) 20123Brasil70774canada8084Y: ESPERANZA DE VIDA AL NACER MUJERES(AOS) 20125Estados unidos70816Chile77837costa rica77818Cuba76819Haiti616410Peru757911Japn808712India646813Georgia717814Filipinas657215Emiratos Arabes U.767816China747717Bhutan686918Brunei767819Bangladesh697120Afganistan586121Sierra Leona454622Senegal636623Sudfrica566224Zimbawe566025Camerun555726Egipto697427Ghana606428Madagascar626529Nigeria535530Argelia707331Monaco798632Grecia788333Ucrania667634Espaa798535Alemania788336Francia798537Italia808538Portugal778439Reino Unido798340Austria788341Islas Marshall6872El grafico nos muestra pendiente positiva42Australia818543Nueva Zelanda8084Existe relacion directa entre X e Y44Papua Nueva Guinea606545Palau717546Fiji677347Islas salomon677048Nauru758349Tuvalu667050kiribati6469

esperanza de vida(Gabriel) Variable X: ESPERANZA DE VIDA AL NACER HOMBRES (AOS) 20121) RangoR= 81 - 45R= 362)# IntervalosK= 1 + 3.322log(50)K= 6.64K= 7 Intervalos3)Amplitud de IntervaloA= 36/7A= 5,1428XfihiFiHi[45- 50,14>10.0210.02[50,14 - 55,28>20.0430.06[55,28 - 60,43>40.0870.14[60,43- 65,57>80.16150.3[65,57 - 70,71>110.22260.52[70,71 - 75,86>60.12320.64[75,86 - 81]180.36501501Media:X =57,57x1+52,71x2+57,85x4+63x8+68,14x11+73,28x6+78,43x1850AX = 69,78El 69,78% es el porcentaje promedio dela esperanza de vida en hombres

Mediana:Me = 65,57 + 50,4 [( 25 - 15 )/11]Me = 70,24Indica que la mitad de datos es < que 70,24% y la otra mitad de datos es > o = que 70,24%

Moda:Mo = 75,86 + 5,14[( 12 )/(12+0)]Mo = 81Indica que el % modal, es decir el % que ms se repite es 81%

CUANTILESJ / K (50) = 1/4 (50) = 12.5 Q = C 1/4 = 60.43 + 5,14(12.5-7/8)Q = 63.96El 25% de los menores aos en hombres se encuentra entre 45 - 63.9J / K (50) = 1/10 (50) = 5 D= C 1/10 = 55,28 + 5,14(5-3/4)D = 63,96El 10% de los menores aos en hombres se encuentran entre 45 - 63,69 J / K (50) = 60/100 (50) = 30P = C60/100 = 70,71 + 5,14(30-27/4)P = 75.57EL 60% de los mayores aos en hombres se encuentra entre 75.57 - 81

esperanza (M)(Gabriel)Variable Y: ESPERANZA DE VIDA AL NACER MUJERES (AOS) 20121) Rango87-46R= 412)# IntervalosK= 1 + 3.322log(50)K= 6.64K= 7 Intervalos3)Amplitud de IntervaloA= 41/7A= 5.857.XfihiFiHi[46- 51.86>10.0210.02[51.86 - 57.71>20.0430.06[57.71- 63.57>30.0660.12[63,57- 69,43>80.16140.28[69,43 - 75,28>100.2240.48[75,28 - 81,84>100.2340.68[81,84 - 87]160.32501501

Media:Y =48,93x1+54.78x2+57,85x3+63x8+68,14x10+73,28x10+78,43x1650Y = 74,46El 74,76% es el porcentaje promedio de esperanza de via en mujeres

Mediana:Clase Mediana:n/2= 50/2 = 25

Me = 75,28 + 5,86[( 25-24 )/10]Me =75,86El 74,76% es el porcentaje promedio de esperanza de via en mujeres

Moda:Mo = 81,84 + 5,86[( 6 )/(16)]Mo = 84.03Indica que el % modal, es decir el % que ms se repite es 84,03

CUANTILESj/k(n) 1 /4(50) =12,5 Q = 63.57+5.86(12.5-6 / 8)Q = 68.33EL 25% de las menores edades en mujeres se encuentran entre 46 y 68,33 j / k(50) 1 / 10(50) = 5D = C / 10 = 57.71 + 5.86(5-3 / 3)D = 61,61El 10 % de las menores edades en mujeres se encuentra entre 46 - 61.6,j / k(50) 60 / 100(50) = 30P = C 60/100(50) = 75.28 + 5.86 (30-24 /10)P =72,93El 40 % de los mayores sueldos en mujeres se encuentra entre 42,93 - 87

Cov. y coef. Corr(Gabriel)X : ESPERANZA DE VIDA AL NACER HOMBRES (AOS)Y: ESPERANZA DE VIDA AL NACER MUJERES (AOS)XY[46-51.86>[50.86-57.71>[57.71-63.57>[63.57-69.43>[69.43-75.28>[75.28-81.14>[81.14-87]ni[45-50.14>10000001[50.14-55.28>02000002[55.28-60.43>00320005[60.43-65.57>00052007[65.57-70.71>000172111[70.71-75.86>00001416[75.86-81]0000041418nj123810101650VARIANZAX-Esperanza (H)Xi promniXiniXi2ni[45-50.14>47.57147.572262.9049[50.14-55.28>52.712105.425556.6882[55.28-60.43>57.8554231.4213388.8041[60.43-65.57>63850431752[65.57-70.71>68.1411749.5451073.6556[70.71-75.86>73.2856439.7132224.14735[75.86-81]78.43181411.74110722.7682503489.4246980.96835

Prom de X=69.788

Varianza de X=69.254423

Desv.Estand X=8.3202499571

Y-Esperanza ( M ) Yj promnjYinjYj2nj[46-51.86>48.93148.932394.1449[51.86-57.71>54.7852109.576002.79245[57.71-63.57>60.643181.9211031.6288[63.57-69.43>66.5853235378[69.43-75.28>72.35510723.5552352.46025[75.28-81.14>78.2110782.161168.041[81.14-87]84.07161345.12113084.2384503723.19281411.3058

Prom de Y=74.4638

Varianza de X=83.36860556

Desv.Estand X=9.1288040424

COVARIANZA

=5260.0221205-5196.6796744

=63.3424461

La covarianza de X y Y es :63.3424461el grado de variacion conjunto de Las variables X e Yrxy=0.833958755

El coeficiente de correlacin es:0.833958755La correlacion la de 0,8 > r < 1correlacion excelenteLa correlacion es fuerte y directa por ser cercano a 1

Anal. regre y cor. Lin(Gabriel)NXYXYX2Y2Y aproxY-Yaprox(Y-Yaprox)21737957675329624177.90421672091.09578327911.20074099482657045504225490069.30856618220.69143381780.47808072443707753904900592974.68084776892.31915223115.3784670712x : ezperanza de vida al nacer hombres (aos) 20124808467206400705685.4254109422-1.42541094222.0317963542y: esperanza de vida al nacer mujeres (aos) 2012 5708156704900656174.68084776896.319152231139.93168492046778363915929688982.20204199020.79795800980.63673698547778162375929656182.2020419902-1.20204199021.44490494638768161565776656181.1275856729-0.12758567290.01627810399616439043721409665.0107409128-1.01074091281.021597192810757959255625624180.0531293555-1.05312935551.109081439511808769606400756985.42541094221.57458905782.479330700812646843524096462468.2341098648-0.23410986480.054807428813717855385041608475.75530408622.24469591385.038659745514657246804225518469.30856618222.69143381787.243815995815767859285776608481.1275856729-3.12758567299.781792141216747756985476592978.9786730382-1.97867303823.915146992117686946924624476172.5319351342-3.531935134212.47456579218767859285776608481.1275856729-3.12758567299.781792141219697148994761504173.6063914515-2.60639145156.793276398520586135383364372161.7873719608-0.78737196080.619954604621454620702025211647.8194398354-1.81943983543.310361314622636641583969435667.1596535475-1.15965354751.344796350223566234723136384459.63845932612.36154067395.576874354424566033603136360059.63845932610.36154067390.130711658925555731353025324958.5640030088-1.56400300882.446105411526697451064761547673.60639145150.39360854850.154927689427606438403600409663.93628459550.06371540450.004059652828626540303844422566.0851972301-1.08519723011.177653028329535529152809302556.4150903741-1.41509037412.002480766930707351104900532974.6808477689-1.68084776892.825249222131798667946241739684.35095462491.64904537512.719350649132788364746084688983.2764983076-0.27649830760.076451314133667650164356577670.38302249955.616977500531.550436241134798567156241722584.35095462490.64904537510.421259898935788364746084688983.2764983076-0.27649830760.076451314136798567156241722584.35095462490.64904537510.421259898937808568006400722585.4254109422-0.42541094220.180974469838778464685929705682.20204199021.79795800983.232653004939798365576241688984.3509546249-1.35095462491.825078398540788364746084688983.2764983076-0.27649830760.076451314141687248964624518472.5319351342-0.53193513420.28295498742818568856561722586.4998672596-1.49986725962.249601796343808467206400705685.4254109422-1.42541094222.031796354244606539003600422563.93628459551.06371540451.131490461845717553255041562575.7553040862-0.75530408620.570484262646677348914489532971.45747881681.54252118322.379371600547677046904489490071.4574788168-1.45747881682.124244501548758362255625688980.05312935552.94687064458.684046595149667046204356490070.3830224995-0.38302249950.146706235150646944164096476168.23410986480.76589013520.586587699234863719263174246660191.1733811199

Media X=69.72Media Y=74.38b=263174-259288.68246660-243043.92b=1.0744563173a=74.38-74.9110944448COEFICIENTE DE REGRECION a=-0.5310944448a = -0.5311b = 1,07446Y aprox=-0.5310944448+1.0744563173XERROR ESTANDAR Se=3.9827787733

Se=1.9956900494la ecuacion de regrecion lineal no es totalmente confiable pero nos ayuda a tener una idea cercana buena descripcion entre X e Ylos variables observados y estimados de Y razonablemete cercanosconfianzaCOEFICIENTE DE DETERMINACIONel 85 % de la variacion de Y esta asociada o relacionada con la variacion de xel 15 % de la variacion de Y no esta expliacada por la variacion de xCOEFICIENTE DECORRELACION0 > r 50.1baja la esperanza de vida al nacer refleja el nivel de mortalidad general de una poblacin y resume la distribucin de la mortalidad7costa rica69[50,14 - 54,28>30.06precarioque prevalece en todos los grupos de edad: nios y adolescentes, adultos y ancianos.8Cuba67[54.28 - 5,96>60.12estandar9Haiti52[58,42-62,57>100.2normal10Peru67[62,57 - 66,71>40.08bueno11Japn75[66,71-70,85>90.18muy bueno12India57[70,85- 75]130.26excelente13Georgia6550114Filipinas6015Emiratos Arabes U.6716China6817Bhutan5918Brunei6819Bangladesh6020Afganistan4821Sierra Leona4622Senegal5523Sudfrica5724Zimbawe4925Camerun4826Egipto6127Ghana5428Madagascar5529Nigeria4630Argelia6231Monaco7232Grecia7133Ucrania6334Espaa7335Alemania7136Francia7237Italia7338Portugal7139Reino Unido7140Austria7141Islas Marshall5942Australia7343Nueva Zelanda7244Papua Nueva Guinea5345Palau6246Fiji6047Islas salomon5948Nauru6649Tuvalu5850kiribati58

Bas Dat. Cons Alco.(Gabriel)BASE DE DATOS1Argentina9.32Bolivia5.9 FACTORES DE RIESGO (2010)3Brasil8.7X : CONSUMO DE ALCOHOL ENTRE ADULTOS DE 15 O MAS AOS , (LT DE ALCOHOL POR PERSONA y AO)4canada10.25Estados unidos9.26Chile9.6Xfihi7costa rica5.4[0- 1,98>110.22inocuo8Cuba5.2[1,98 - 3,97>40.08normal9Haiti6.4[3,97 - 5,96>90.18moderado10Peru8.1[5,96- 7,94>70.14riesgo11Japn4.9[7,94 - 9,93>70.14daino12India4.3[9,93 - 11,91>80.16exceso13Georgia7.7[11,91- 13,9]40.08peligroso14Filipinas5.450115Emiratos Arabes U.4.316China6.717Bhutan0.718Brunei0.919Bangladesh0.220Afganistan0.721Sierra Leona8.722Senegal0.623Sudfrica1124Zimbawe5.725Camerun8.426Egipto0.427Ghana4.828Madagascar1.829Nigeria10.130Argelia131Monaco032Grecia10.333Ucrania13.934Espaa11.235Alemania11.836Francia12.237Italia6.738Portugal7.539Reino Unido7.840Austria10.341Islas Marshall042Australia12.243Nueva Zelanda10.944Papua Nueva Guinea345Palau7.946Fiji347Islas salomon1.748Nauru3.549Tuvalu1.550kiribati3

Plantilla de datos(PABLO)Base de DatosNPaisesPrevencin de la Sarampenen nios menores de 1 ao(%)Ao 2000Ao 20121Afganistan27682Alemania92973Argelia80954Argentina91945Australia91946 Austria75767Bangladesh72968Bhutan78959Bolivia848410Brasil999911Brunei Darussalam999912Camern498213Canad969814Chile979015China849916Costa Rica829017Cuba949918Egipto989319Emiratos Arabes U.949420Espaa949721Estados Unidos919222Fiji819923Filipinas788524Francia848925Georgia739326Ghana908827Grecia899928Hait555829India597430Islas Marshall947831Islas Salomn858532Italia749033Japn969634Kiribati809135Madagascar576936Mnaco999937Nauru89638Nigeria334239Nueva Zelandia859240Palau839141Papua Nueva Guinea626742Per979443Portugal879744Reino Unido889345Senegal488446Sierra Leona378047Sudfrica727948Tuvalu819849Ucrania997950Zimbabwe759039164406

X-2000(PABLO)Variable X: Prevencin de la Sarampin en nios < de 1 ao(%)-20001) RangoR= 99 - 8R= 912)# IntervalosK= 1 + 3.322log(50)K= 6.64K= 7 Intervalos3)Amplitud de IntervaloA= 91/7A= 13XfihiFiHi[8 - 21>10.0210.02[21 - 34>20.0430.06[34 - 47>10.0240.08[47 - 60>50.190.18[60 - 73>30.06120.24[73 - 86>170.34290.58[86 - 99]210.42501501Media:X =387150x=77.42El 77.42% es el porcentaje promedio de la Prevencinde la Sarampin en nios < 1 ao - 2000

Mediana:Me = 73 + 13 [( 25 - 12 )/17]Me = 82.94Indica que la mitad de datos es < que 82.94% y la otra mitad de datos es > o = que 82.94%

Moda:Mo = 86 + 13 [( 4 )/(4+21)]Mo = 88.08Indica que el % modal, es decir el % que ms se repite es 88.08%

Y-2012(PABLO)Variable Y: Prevencin de la Sarampin en nios < de 1 ao(%)-20121) RangoR= 99 - 42R= 572)# IntervalosK= 1 + 3.322log(50)K= 6.64K= 7 Intervalos3)Amplitud de IntervaloA= 57/7A= 8.1428..YfihiFiHi[42.0 - 50.1>10.0210.02[50.1 - 58.3>10.0220.04[58.3 - 66.4>0020.04[66.4 - 74.6>40.0860.12[74.6 - 82.7>60.12120.24[82.7 - 90.9>100.2220.44[90.9 - 99.0]280.56501501Media:Y =4380.7550Y=87.615El 87.615% es el porcentaje promedio de la Prevencinde la Sarampin en nios < 1 ao - 2012

Mediana:Clase Mediana:n/2= 50/2 = 25

Me = 90.9 + 57/7 [( 25 - 22 )/28]Me = 91.77Indica que la mitad de datos es < que 91.77% y la otra mitad de datos es > o = que 91.77%

Moda:Mo = 90.9 + 57/7 [( 28 )/(28+50)]Mo = 93.82Indica que el % modal, es decir el % que ms se repite es 93.82%

Cov. y coef. Corr(PABLO)XY[42-50.1>[50.1-58.3>[58.3-66.4>[66.4-74.6>[74.6-82.7>[82.7-90.9>[90.9-99]ni[8-21>00000011[21-34>10010002[34-47>00001001[47-60>01021105[60-73>00011013[73-86>000018817[86-99]0000211821nj11046102850VARIANZAX-ao 2000Xi promniXiniXi2ni[8-21>14.5114.5210.25[21-34>27.52551512.5[34-47>40.5140.51640.25[47-60>53.55267.514311.25[60-73>66.53199.513266.75[73-86>79.5171351.5107444.25[86-99]92.5211942.5179681.25503871318066.5

Prom de X=77.42

Varianza de X=367.4736

Desv.Estand X=19.1696009348

Y-ao 2000Yj promnjYinjYj2nj[42-50.1>46.05146.052120.6025[50.1-58.3>54.2154.22937.64[58.3-66.4>62.35000[66.4-74.6>70.5428219881[74.6-82.7>78.656471.937114.935[82.7-90.9>86.81086875342.4[90.9-99]94.95282658.6252434.07504380.75389830.6475

Prom de Y=87.615

Varianza de Y=120.224725

Desv.Estand Y=10.9647035984

COVARIANZA

=6916.2265-6783.1533

=133.0732

La covarianza de X y Y es :133.0732

rxy=0.6331121269El coeficiente de correlacin es:0.6331121269

Anal. reg y cor. Lin.(PABLO)NXYXYX2Y2Y aproxY-Yaprox(Y-Yaprox)2Y prom(Yapr-Yprom)2(Y-Yprom)2127681836729462470.8970063292-2.89700632928.392645671488.12296.6315109848404.81442929789248464940992.71100844544.288991554618.395448555688.1221.077358545578.85443809576006400902588.68380805476.316191945339.894280689988.120.317879522547.33444919485548281883692.37540841281.62459158722.639297825188.1218.108500759934.57445919485548281883692.37540841281.62459158722.639297825188.1218.108500759934.57446757657005625577687.0058078919-11.0058078919121.127807353788.121.2414240537146.89447729669125184921685.999007794210.0009922058100.019845099688.124.498607936962.09448789574106084902588.01260798966.987392010448.823647107388.120.011533043947.33449848470567056705690.0262081849-6.026208184936.31518508888.123.633629644316.974410999998019801980195.06020867333.939791326715.521955698188.1248.1664964286118.374411999998019801980195.06020867333.939791326715.521955698188.1248.1664964286118.374412498240182401672478.28020704543.719792954613.836859624888.1296.821525388737.454413969894089216960494.05340857563.946591424415.575583871188.1235.20533732597.614414979087309409810094.3890086082-4.389008608219.263396562588.1239.30046892923.534415849983167056980190.02620818498.973791815180.528939540488.123.6336296443118.374416829073806724810089.35500811980.64499188020.416014525588.121.5252450563.534417949993068836980193.38220851055.617791489531.559581219688.1227.6908384079118.374418989391149604864994.7246086407-1.72460864072.974274963688.1243.62085529723.814419949488368836883693.38220851050.61779148950.381666324588.1227.690838407934.574420949791188836940993.38220851053.617791489513.088415261688.1227.690838407978.854421919283728281846492.3754084128-0.37540841280.140931476488.1218.108500759915.054422819980196561980189.01940808739.980591912799.612214928888.120.8089349074118.374423788566306084722588.0126079896-3.01260798969.075806898988.120.01153304399.734424848974767056792190.0262081849-1.02620818491.053103238888.123.63362964430.774425739367895329864986.33460782686.665392173244.427452822688.123.187625212123.814426908879208100774492.0398083803-4.039808380316.320051749288.1215.3648977380.014427899988117921980191.70420834777.295791652353.228575833788.1212.8465494798118.374428555831903025336480.2938072408-22.2938072408497.013841288988.1261.2492931045907.214429597443663481547681.636207371-7.63620737158.31166301388.1242.0395668558199.374430947873328836608493.3822085105-15.3822085105236.612338660288.1227.6908384079102.414431858572257225722590.3618082175-5.361808217528.74898736188.125.0257040849.734432749066605476810086.67020785943.329792140611.087515699988.122.10189725113.534433969692169216921694.05340857561.94659142443.789218173588.1235.20533732562.094434809172806400828188.68380805472.31619194535.364745127588.120.31787952258.294435576939333249476180.9650073059-11.9650073059143.1613998388.1251.1939204528365.574436999998019801980195.06020867333.939791326715.521955698188.1248.1664964286118.37443789676864921664.520605710631.4793942894990.952264826988.12556.931410826162.094438334213861089176472.9106065245-30.9106065245955.465595714288.12231.32564989172127.054439859278207225846490.36180821751.63819178252.683672316388.125.02570408415.054440839175536889828189.69060815241.30939184761.714507010788.122.46680996838.294441626741543844448982.6430074687-15.6430074687244.70368266588.1229.9974471882446.054442979491189409883694.3890086082-0.38900860820.151327697288.1239.300468929234.574443879784397569940991.03300828265.966991717435.604990155688.128.485617254578.854444889381847744864991.36860831511.63139168492.661438829488.1210.553455985323.814445488440322304705677.94460701296.055392987136.667784228588.12103.538622442316.974446378029601369640074.25300665485.746993345233.027932510388.12192.293504437165.9344El grafico nos muestra pendiente positiva47727956885184624185.9990077942-6.999007794248.986110103988.124.498607936983.174448819879386561960489.01940808738.980591912780.651031103388.120.808934907497.614449997978219801624195.0602086733-16.0602086733257.930302629188.1248.166496428683.174450759067505625810087.00580789192.99419210818.965186380188.121.24142405373.5344391644063520053273424510.55172647682324.72827352326835.28

Media X=78.32Media Y=88.12b=352005-345077.92327342-306701.12b=0.3356000326a=88.12-26.2841945498a=61.8358054502Y aprox=61.8358054502+0.3356000326XERROR ESTANDAR Se=4510.551726476848

Se=9.693803569Coeficiente de determinacin(r2)r2=2324.72827352326835.28r2=0.3401072485

Hay 34 % de la variacion de la prevencin de la sarapin del ao 2000 relacionado con el ao 2012

Coeficiente de Correlacinr=0.3401072485r=0.5831871471