Estadistica

| X | Y |
I | 9 | 16 |
| 8 | 18 |
| 15 | 21 |
| 20 | 25 |
I I | 21 | 30 |
| 16 | 14 |
| 25 | 8 |
| 9 | 5 |
I I I | 10 | 7 |
| 16 | 14 |
| 17 | 15 |
| 18 | 13 |
IV | 19 | 12 |
| 13 | 11 |
| 14 | 19 |
| 12 | 20 |
V | 11 | 24 |
| 8 | 18 |
| 5 | 10 |
| 15 | 12 |
VI | 10 | 14 |
| 18 | 16 |
| 21 | 10 |
| 15 | 20 |

REGRESIONDATOS | X | Y | | | | | |
1 | 9 | 16 | -5,375 | 0,167 | -0,897 | 28,890 | 0,027 |
2 | 8 | 18 | -6,375 | 2,167 | -13,814 | 40,640 | 4,695 |
3 | 15 | 21 | 0,625 | 5,167 | 3,229 | 0,390 | 26,697 |
4 | 20 | 25 | 5,625 | 9,167 | 51,564 | 31,640 | 84,033 |
5 | 21 | 30 | 6,625 | 14,167 | 93,856 | 43,890 | 200,703 |
6 | 16 | 14 | 1,625 | -1,833 | -2,978 | 2,640 | 3,359 |
7 | 25 |8 | 10,625 | -7,833 | -83,225 | 112,890 | 61,355 |
8 | 9 | 5 | -5,375 | -10,833 | 58,227 | 28,890 | 117,353 |
9 | 10 | 7 | -4,375 | -8,833 | 38,644 | 19,140 | 78,021 |
10 | 16 | 14 | 1,625 | -1,833 | -2,978 | 2,640 | 3,359 |
11 | 17 | 15 | 2,625 | -0,833 | -2,186 | 6,890 | 0,693 |
12 | 18 | 13 | 3,625 | -2,833 | -10,269 | 13,140 | 8,025 |
13 | 19 | 12 | 4,625 | -3,833 | -17,727 |21,390 | 14,691 |
14 | 13 | 11 | -1,375 | -4,833 | 6,645 | 1,890 | 23,357 |
15 | 14 | 19 | -0,375 | 3,167 | -1,187 | 0,140 | 10,029 |
16 | 12 | 20 | -2,375 | 4,167 | -9,896 | 5,640 | 17,363 |
17 | 11 | 24 | -3,375 | 8,167 | -27,563 | 11,390 | 66,699 |
18 | 8 | 18 | -6,375 | 2,167 | -13,814 | 40,640 | 4,695 |
19 | 5 | 10 | -9,375 | -5,833 | 54,684 | 87,890 | 34,023 |
20 | 15 | 12 | 0,625| -3,833 | -2,395 | 0,390 | 14,691 |
21 | 10 | 14 | -4,375 | -1,833 | 8,019 | 19,140 | 3,359 |
22 | 18 | 16 | 3,625 | 0,167 | 0,605 | 13,140 | 0,027 |
23 | 21 | 18 | 6,625 | 2,167 | 14,356 | 43,890 | 4,695 |
24 | 15 | 20 | 0,625 | 4,167 | 2,604 | 0,390 | 17,363 |
TOTAL | 345 | 380 | 0 | 0 | 143.504 | 577,625 | 799.333 |

X =345/24 Y= 380/24X=14.375 Y=15.83

De la tabla podemos deducir

X =14,375

Y =15.83

∑ (X1 – X)2= 577,625

∑ (Y1 – Y)2 = 799,333

∑(X1 - X) (Y1 – Y)= 143,504

Coeficiente de regresión
B=X-xY-yX-x2
b= 143,504/577,625
b= 0,248

Obtención del intercepto a por la formula
a=y-Bx
a= 15,833 – 0,248×14,375 = 12,268

Ecuación deestimación
Y=Bx+a
Y = 0,248x + 12,268

Diagrama de dispersión
X=5
Y1= (0.248*5)+12.268=13,508

X=13
Y2= (0.248*13)+ 12.268=15.492
X=20
Y3= (0.15*20)+ 12.268=17,228
GRAFICA

1. Análisis de varianza

GL =1

Suma de cuadrados debido a regresión
SC= b*∑X1 - X Y1 – Y
SC= 0,248*143,504= 35.588
CM=SCdebidorGL
CM=35.5881
CM=35.588

Efecto de variación total
GL=n-1
GL=24-1GL=23
SCtotal=(Y-y)2 =826
Efecto de desviación de regresión
GL=n-2
GL=24-2
Gl=22
SC desviación de R = SC total – SC debido a R
SC desviación de R = 799,333– 35,588=763,745
CM=SCdesviacion de RGLdesviacion de R
CM=763.74522
CM=34.715
Fcalc=CMdedido a RCMdesviacion de R
Fcalc=35.58834.715
Fcalc=1.025
FV | GL | SC | CM | FCALC | 5% FTAB 1% |
Debido a regresión | 1 | 35,588 |35,588 | 1,025 | 4,30 7,94 |
Desviación de regresión | 22 | 763,745 | 34,715 |   | |
Total | 23 | 799,333 | | | |

CORRELACION

DATOS | X | Y | | | XY |
1 | 9 | 16 | 81 | 256 | 144 |
2 | 8 | 18 | 64 | 324 | 144 |
3 | 15 | 21 | 225 | 441 | 315 |
4 | 20 | 25 | 400 | 625 | 500 |
5 | 21 | 30 |441 | 900 | 630 |
6 | 16 | 14 | 256 | 196 | 224 |
7 | 25 | 8 | 625 | 64 | 200 |
8 | 9 | 5 | 81 | 25 | 45 |
9 | 10 | 7 | 100 | 49 | 70 |
10 | 16 | 14 | 256 | 196 | 224 |
11 | 17 | 15 | 289 | 225 | 255 |
12 | 18 | 13 | 324 | 169 | 234 |
13 | 19 | 12 | 361 | 144 | 228 |
14 | 13 | 11 | 169 | 121 | 143 |
15 | 14 | 19 | 196 | 361 | 266 |
16 | 12 | 20 | 144 | 400 | 240 |
17 | 11 |...