Ejer Chaum Pag 327 for 19 Covarianza
8
padre hijo 65 68 63 66 Column 1 67 68 Column 2 64 65 68 69 62 66 Column 1 70 68 Column 2 66 65 68 71 67 67 69 68 del padre 71 70 Column1 Column1 Mean 66.66667 Mean 67.58333 Standard Error 0.800883 Standard Error 0.542976 Median 67 Median 68 Mode 67 Mode 68 Standard Deviatio2.774341 Standard Deviation 1.880925 Sample Variance 7.69697 Sample Variance 3.537879 Kurtosis -0.77359 Kurtosis -0.55502 Skewness -0.19867 Skewness 0.237935 Range 9 Range 6 Minimum 62 Minimum 65 Maximum 71 Maximum 71 Sum 800 Sum 811 Count 12 Count 12 padre hijo 65 4225 68 4624 63 3969 66 4356 67 4489 68 4624 64 4096 65 4225 68 4624 69 4761 62 3844 66 4356 70 4900 68 4624
description
la del titulo
Transcript of Ejer Chaum Pag 327 for 19 Covarianza
Sheet1padrehijo6568Column 1Column 26366Column 11Ejercicio del Schaum de estadistica pagina 3316768Column 20.70265164511ejercicio 14.16465El calculo del coeficiente de regresion esta en la pagina 341 6869Column 1Column 2del ejercicio 14-166266Column 17.05555555567068Column 23.36111111113.24305555566665687167676968del padre7170Column1Column1x*y4420Mean66.6666666667Mean67.58333333334158Standard Error0.8008833507Standard Error0.54297627234556Median67Median684160Mode67Mode684692Standard Deviation2.7743413087Standard Deviation1.8809249824092Sample Variance7.696969697Sample Variance3.53787878794760Kurtosis-0.7735941472Kurtosis-0.55502111524290Skewness-0.1986709785Skewness0.23793478084828Range9Range64489Minimum62Minimum654692Maximum71Maximum714970Sum800Sum81154107Count12Count124508.9166666667padrehijo654225684624633969664356cov=0.999597787674489684624Este resultado se obtuvo aplicando la formula del Schaum de estadistica de la pagina 327 formula 1964409665422568462469476162384466435670490068462466435665422568462471504167448967448969476168462471504170490066.66666666675341867.5833333333548494451.54570.75Sx66.7195623487Sy67.6073220887padreX-MEDIAXhijoX-MEDIAYX*Y65-1.66662.77755556680.416670.1736138889-0.69442222263-3.666613.4439555666-1.583332.50693388895.805437778670.33340.11115556680.416670.17361388890.13891777864-2.66667.1107555665-2.583336.67359388896.888707778681.33341.77795556691.416672.00695388891.88898777862-4.666621.7771555666-1.583332.50693388897.388767778703.333411.11155556680.416670.17361388891.38892777866-0.66660.4443555665-2.583336.67359388891.722047778681.33341.77795556713.4166711.67363388894.555787778670.33340.1111555667-0.583330.3402738889-0.194482222692.33345.44475556680.416670.17361388890.972257778714.333418.77835556702.416675.840293888910.47239777884.6666667238.916666666840.3333333367.055555563.24305555563.36111111132.65622957591.8008485654r =0.7026516449Es el mismo resultado que la estadistica descriptiva
otro ejemploEJEMPLO DEL LIBRO DE INGLES JOHNSON PAG 452 453 454 y 455 DATOS DE LA FIG 14-1SON TRES FORMULAS DISTINTASXYCOVARIANZApoblacional0.5NO ES21Column 1Column 20.5NO ES35Column 1140.6SI ES63Column 20.53.6666666667ESTE VALOR SE OBTIENE82AL DIVIDIR ENTRE N Y EL OTRO ENTRE n-1116Column 1Column 2121Column 11MEDIAS m 73Column 20.06978631581
(X-mx)*(Y-my)XY1-5-210Column1Column12-42-83-100Mean7Mean341-1-1Standard Error1.6733200531Standard Error0.856348838654312Median7Median2.565-2-10ModeERROR:#N/AMode13Standard Deviation4.0987803064Standard Deviation2.0976176963COVARIANZA0.6000Sample Variance16.8Sample Variance4.4Kurtosis-1.875Kurtosis-1.5495867769Skewness0Skewness0.5850793161Range10Range5Minimum2Minimum1Maximum12Maximum6Sum42Sum18Count6Count6POR LO TANTO DE ACUERDO A LA FORMULA14 - 2 DE LA PAG 455 DEL MISMO LIBRO EL COEF DECORRELACION ES: 0.0697863158El mismo resultado obtenido aplicando la funcion correlacion de DATA - DATA Analysis y CORRELATIONDE LA TABLA DE ARRIBA lo que no da es la COVARIANZA que es la primera tabla
Sheet3
