ORDENAMOS LOS DATOS PARA PODER HALLAR LO SOLICITADO
Ʃ= N=
X
Y
XY
X²
1
7.0
67.0
469
49
2
6.9
63.0
434.7
47.61
3
5.5
60.0
330
30.25
4
3.7
54.0
199.8
13.69
5
5.9
58.0
342.2
34.81
6
3.3
45.0
148.5
10.89
7
5.2
64.0
332.8
27.04
8
6.4
74.0
473.6
40.96
9
4.2
64.0
268.8
17.64
10
6.8
74.0
503.2
46.24
11
6.4
82.0
524.8
40.96
12
4.7
78.4
368.48
22.09
13
5.9
59.0
348.1
34.81
14
3.7
47.0
173.9
13.69
15
9.8
86.0
842.8
96.04
16
8.6
92.0
791.2
73.96
17
3.8
36.0
136.8
14.44
18
8.9
76.0
676.4
79.21
19
9.6
87.0
835.2
92.16
20
9.9
89.0
881.1
98.01
21
10. 0
92.0
920
100
22
7.6
82.0
623.2
57.76
23
8.5
93.0
790.5
72.25
24
7.8
82.0
639.6
60.84
25
8.8
93.0
818.4
77.44
26
7.9
82.0
647.8
62.41
27
6.9
80.0
552
47.61
28
7.4
76.2
563.88
54.76
29
3.7
54.0
199.8
13.69
30
11.0
94.0
1034
121
31
8.6
85.0
731
73.96
32
9.8
92.0
901.6
96.04
22 4 . 2
2360.6
17503.16
172 1. 26
32
MEDIAS
7.00625
7 3 .7 6 8 7 5
C$%&'(*! +, -!/(!! -+ -&+(&% * -+'+(%+ ,! (+'! -+ (+/(+&%. A) DIAGRAMA DE DISPERSIÓN
2.0
PARA HALLAR LA RECTA DE REGRESIÓN CALCLAREMOS ! " # HALLAS A
REEMPLAAMOS
!= 3217503.16)"224.2)2360.6) 321721.26)"224.2)²
!= 560101.12 " 52246.52 55080.32 " 50265.64
!= 30854.6
4814.68
6.408442513
!=
!= 6.408
HALLAS B:
+-! -+ X=
7.00625 +-! -+ Y= 73.76875
REEMPLAAMOS LOS DATOS
#= 73.76875 " 6.4084) 7.00625)
#= 73.76875 " 44.888525
#= 28.86875
#= 28.87
Yˆ= 6.408 X) 28.87
D+'+(%+ +, $+9+%'+ -+ $((+,!%.
)
P!(! :!,,!(,$ (+($ :!,,!$& +, $+9+%'+ -+ -+'+(%!% $% ,! &/+%'+ 9(,!
R²=
∑ * "* )² " ∑ ( y - yˆ )²
∑ * " * )²
P!(! ,$ !, $,+'!$& ,! '!#,! $% ,$& -!'$& &$,'!-$&
X Y XY X² * " *)²
* " *ˆ)² 7.0 67.0 469 49 45.81597656 45.239076 6.9 63.0 434.7 47.61 115.9659766 101.711259 5.5 60.0 330 30.25 189.5784766 16.924996 3.7 54.0 199.8 13.69 390.8034766 2.01753616 5.9 58.0 342.2 34.81 248.6534766 75.29379984 3.3 45.0 148.5 10.89 827.6409766 25.16426896 5.2 64.0 332.8 27.04 95.42847656 3.27031056 6.4 74.0 473.6 40.96 0.053476562 16.96451344 4.2 64.0 268.8 17.64 95.42847656 67.50922896
6.8 74.0 503.2 46.24 0.053476562 2.41989136 6.4 82.0 524.8 40.96 67.75347656 146.8653134 4.7 78.4 368.48 22.09 21.44847656 376.8412738 5.9 59.0 348.1 34.81 218.1159766 58.93939984 3.7 47.0 173.9 13.69 716.5659766 31.13193616 9.8 86.0 842.8 96.04 149.6034766 32.13075856 8.6 92.0 791.2 73.96 332.3784766 64.33964944 3.8 36.0 136.8 14.44 1426.478477 296.5421762 8.9 76.0 676.4 79.21 4.978476562 98.03376144 9.6 87.0
835.2 92.16 175.0659766 11.47041424 9.9 89.0 881.1 98.01 231.9909766 10.95080464 10.0 92.0 920 100 332.3784766 0.9025 7.6 82.0 623.2 57.76 67.75347656 19.61781264 8.5 93.0 790.5 72.25 369.8409766 93.354244 7.8 82.0 639.6 60.84 67.75347656 9.90738576 8.8 93.0 818.4 77.44 369.8409766 59.90140816 7.9 82.0 647.8 62.41 67.75347656 6.28404624 6.9 80.0 552 47.61 38.82847656 47.81445904 7.4 76.2 563.88 54.76
5.910976562 0.00795664 3.7 54.0 199.8 13.69 390.8034766 2.01753616 11.0 94.0 1034 121 409.3034766 28.708164 8.6 85.0 731 73.96 126.1409766 1.04284944 9.8 92.0 901.6 96.04 332.3784766 0.10995856
224.2 2360.6 17503.16 1721.26 732.48875 1753.4286
P!(! :!,,!( *ˆ :!(+$& ,! &/+%'+ '!#,! Yˆ;)= 6.408 X) 28.87
7.0
73.726
6.9
73.085 2
5.5
64.114
3.7
52.579 6
5.9
66.677 2
3.3
50.016 4
5.2
62.191 6
6.4
69.881 2
4.2
55.783 6
6.8
72.444 4
6.4
69.881 2
4.7
58.987
5.9
66.677
6 2 3.7
52.579 6
9.8
91.668
8.6
83.978
4 8 3.8
53.220 4
8.9
85.901
9.6
90.386
2 8 9.9
92.309 2
10.0 7.6
92.95 77.570 8
8.5
83.338
7.8
78.852 4
8.8
85.260 4
7.9
79.493 2
6.9
73.085 2
7.4
76.289 2
3.7
52.579 6
11.0
99.358
8.6
83.978
9.8
91.668
8 4
A:$(! (++,!
∑ * "* )² " ∑ ( y - yˆ )² R²= ∑ * " * )²
R²=
732.48875 " 1753.4286 732.48875
R²= 617.060061 732.48875 R²= 0.77856045
EL COEICIENTE DE CORRELACIÓN SERIA
(= (= RPTA (=
√ R² √ 0.77895045
0. 88 2 5 81 6 6