Estadistica Aplicada

UNIVERSIDAD TÉCNOLOGICA DEL VALLE DE TOLUCA

INGENIERÍA EN SISTEMAS PRODUCTIVOS



ESTADISTICA APLICADA

EJERCICIOS SEGUNDA PARTE






REGRESIÓN LINEAL

1. Para determinar la relación que existe entre el esfuerzo normal y la resistencia al esfuerzo cortante del suelo se llevo a cabo un experimento con una caja de esfuerzo cortante obteniendo los siguientes resultados.|N= |EXFUERZO NORMAL(X) |RESISTENCIA AL |X² |Y² |XY |
| |Kn/m² |ESFUERZO | | | |
| | |CORTANTE(Y)Kn/m² | | ||
|1 |11 |15.2 |121 |231.04 |167.2 |
|3 |15 |19.3 |225 |372.49 |289.5 |
|5 |19 |23.9 |361|571.21 |454.1 |
|N=6 |ƩX= 96 |ƩY= 123 |ƩX²= 1606 |ƩY²= 2595.44 |
|350 |400 |122500 |160000 |140000 |
|1240 |1300 |1537600 |1690000 |1612000 |
|1980 |2100 |3920400|4410000 |4158000 |
|3000 |3050 |9000000 |9302500 |9150000 |
|4020 |4050 |16160400 |16402500 |16281000 |
|ƩX= 23230 |ƩY= 23840 |ƩX²= 70790100 |ƩY²= 73800000 |ƩXY= 72273000 |
|55.8 |83.9|3113.64 |7039.21 |4681.62 |
|54.3 |73.1 |2948.49 |5343.61 |3969.33 |
|53 |36.2 |2809 |1310.44 |1918.6 |
|58.3 |87.3 |3398.89 |7621.29 |5089.59 |
|67 |153.1|4489 |23439.61 |10257.7 |
|58.8 |65.8 |3457.44 |4329.64 |3869.04 |
|57.5 |83.1 |3306.25 |6905.61 |4778.25 |
|54.2 |71.3 |2937.64 |5083.69 |3864.46 |
|ƩX= 910.9 |ƩY=1312.4 |ƩX²= 52209.17 |ƩY²= 127850.02 |ƩXY= 77151.7 |
| 4.3 | 126 | 18.49 |15876 | 541.8 |
| 4.5 | 121 | 20.25 |14641 | 544.5 |
| 5.4 | 116 | 34.81 |13456 | 684.4 |
| 5.6 | 118 | 31.36 |13924 |660.8 |
| 6.1 | 114 | 37.21 |12996 | 694.4 |
| 5.2 | 118 | 27.04 |13924 | 613.6 |
| 3.8 | 132 | 14.44 |17424 | 501.6 |
| 2.1 | 141 | 4.41 |19881 | 296.1 |
| 7.5 | 108| 56.25 |11664 | 810 |
| ƩX=45 |ƩY=1094 |ƩX²=244.26 |ƩY²=133786 |ƩXY=5348.2 |




n= 9

Ʃy²=133786

Ʃxy05348.2

Ʃx²=244.26

Ʃy=1094

Ʃx=45



b = n (Ʃxy) -(Ʃx) (Ʃy)

n(Ʃx²) –(Ʃx)²





= 9(5348.2)-(45) (1094) = 48133.8-49230 = 1096.2 =

9(244.26)- (45)²...