curs 6+7
Transcript of curs 6+7
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25 23 30 25
10 11 14 12
Timp medi
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23
3025
20
33
18
21
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30
26
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17.6
264
Timpmediu
Nr.poli
e
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Ipoteza de homoscedasticitate a erorilor
Residuals^2 Timpul mediu(xi) xi^2
4 25 625
0.009699265 23 529
0.55683253 30 900
0 25 625
1.571984045 20 4002.57943067 33 1089
0.713512971 18 324
0.038797062 21 441
0.124096074 22 484
0.064408287 30 900
2.400152089 26 676
6.006212695 26 676
1.206668962 27 729
0.038797062 29 841
3.049256772 20 400
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Ipoteza de autocorelare a erorilor
RESID!" #T$T
epsi epsi%1
Observation Predicted Nr. polie Residuals Residuals(
1 12 %2
2 10.9015151515 0.0984848485 %2
3 14.7462121212 %0.7462121212 0.098485
4 12 0 %0.746212
5 9.2537878788 %1.2537878788 0
6 16.3939393939 1.6060606061 %1.253788
7 8.1553030303 0.8446969697 1.606061
8 9.803030303 0.196969697 0.844697
9 10.3522727273 %0.3522727273 0.19697
10 14.7462121212 0.2537878788 %0.352273
11 12.5492424242 %1.5492424242 0.253788
12 12.5492424242 2.4507575758 %1.549242
13 13.0984848485 %1.0984848485 2.450758
14 14.196969697 %0.196969697 %1.09848515 9.2537878788 1.7462121212 %0.19697
7 8 9 10 11 12
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Predicted numar d
R
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sum
&'el(epsi epsi(%1)) %0.4134332982
Ipoteza de normalitate a erorilor
S**!R+ #T$T
Regression Statistics
*ul,iple R 0.883620846
R S-uae 0.780785799
!dus,ed R 0.763923168
S,a/dad E 1.311483261
#sea,i'/ 15
!#! df SS MS F
Reessi'/ 1 79.6401515152 79.6401515152 46.30273
Residual 13 22.3598484848 1.719988345
T',al 14 102
Coefficients Standard Error t Stat P-value
I/,e&ep, %1.731060606 2.0461202297 %0.8460209625 0.412843
Timp mediu 0.549242424 0.080716215 6.8046107476 1.3E%005
2.144787
RESID!" #T$T
-3 -2 -1
t
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Observation edicted Nr. pol Residuals Standard Residuals
1 12 %2 %1.5825578166 2.812852
2 10.90151515 0.0984848485 0.0779289834 2.812852
3 14.74621212 %0.7462121212 %0.5904619126 2.812852
4 12 0 0 2.812852
5 9.253787879 %1.2537878788 %0.9920959039 2.812852
6 16.39393939 1.6060606061 1.270841883 2.812852
7 8.15530303 0.8446969697 0.668390896 2.812852
8 9.803030303 0.196969697 0.1558579668 2.812852
9 10.35227273 %0.3522727273 %0.2787459791 2.812852
10 14.74621212 0.2537878788 0.2008169957 2.812852
11 12.54924242 %1.5492424242 %1.2258828541 2.812852
12 12.54924242 2.4507575758 1.939232779 2.812852
13 13.09848485 %1.0984848485 %0.8692078917 2.812852
14 14.1969697 %0.196969697 %0.1558579668 2.812852
15 9.253787879 1.7462121212 1.3817408209 2.812852
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2
4
Timp mediu Residual
Timp mediu
Residuals
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0
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20
Timp mediu Line Fit Plo
Nr. poli
Timp mediu
Nr.polie
7 8 9 10 11 12-0.72
-0.07
0.58
1.23
1.88
2.53
3.18
R
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se/ess 0.381094331 Column
u,'sis %0.385039139
7.524638456 *ea/ %6E%016
S,a/dad E' 0.326306
*edia/ 0
*'de :;!S,a/dad Deia,i'/ 1.263777
Sample aia/&e 1.597132
u,'sis %0.385039
Se/ess 0.381094
Ra/e 4.450758
*i/imum %2
*aximum 2.450758
Sum %9E%015
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Timp mediu 0.313751
RESID!" #T$T
Observation icted Nr. p
1 10.81067
2 11.80498
3 15.26266
4 12.79289
5 8.521102
6 17.64553
7 8.254005
8 9.555662
9 10.04961
10 13.28043
11 11.6650212 13.28684
13 12.60948
14 13.95779
15 10.50333
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20 33 18 21 22 30
8 18 9 10 10 15
. p'li@e
10 0
11 4
14 2512 0 S**!R+ #T$T
8 25
18 64 Regression Statistics
9 49 *ul,iple R 0.883620846
10 16 R S-uae 0.780785799
10 9 !dus,ed R S 0.763923168
15 25 S,a/dad E' 1.311483261
11 1 #sea,i'/s 15
15 1
12 4 !#!
14 16 df SS
11 25 Reessi'/ 1 79.6401515152Residual 13 22.3598484848
264 T',al 14 102
Coefficients Standard Error
I/,e&ep, %1.731060606 2.0461202297
Timp mediu 0.549242424 0.080716215
RESID!" #T$T
Observation edicted Nr. pol Residuals
1 12 %2
2 10.90151515 0.0984848485
3 14.74621212 %0.7462121212
4 12 0
5 9.253787879 %1.2537878788
6 16.39393939 1.6060606061
7 8.15530303 0.8446969697
8 9.803030303 0.196969697
9 10.35227273 %0.3522727273
10 14.74621212 0.2537878788
11 12.54924242 %1.549242424212 12.54924242 2.4507575758
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13 13.09848485 %1.0984848485
14 14.1969697 %0.196969697
15 9.253787879 1.7462121212
S**!R+ #T$T
Regression Statistics
*ul,iple R 0.120068R S-uae 0.014416
!dus,ed R %0.149848
S,a/dad 1.92728
#sea,i' 15
!#!
df SS MS F
Reessi' 2 0.651974029 0.325987015 0.0877627956
Residual 12 44.57292127 3.714410106
T',al 14 45.2248953
Coefficient tandard Erro t Stat P-value
I/,e&ep, %5.435772 17.36272691 %0.313071349 0.759600863
Timpul me 0.539948 1.396826408 0.38655337 0.7058538598
xi 2 %0.010228 0.027535235 %0.371437618 0.7167868682
RESID!" #T$T
Observatio ted Resid Residuals
1 1.670663 2.329337285
2 1.572619 %1.562919263 1.557806 %1.00097388
16 18 20 22 24 26 28 30
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Timpul mediu(X)
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4 1.670663 %1.67066272
5 1.272138 0.299846128
6 1.24463 1.33480098
7 0.969541 %0.25602832
8 1.392753 %1.3539563
9 1.492914 %1.36881749
10 1.557806 %1.49339812
11 1.689002 0.711150147
12 1.689002 4.317210753
13 1.686886 %0.48021696
14 1.621288 %1.5824911
15 1.272138 1.777118855
(esiduals%esiduals(%1)) 2 Residuals^2
4
4.4036386593 0.009699 %0.19697
0.7135129706 0.556833 %0.073491
0.5568325298 0 0
1.571984045 1.571984 0
8.1787333563 2.579431 %2.013659
0.5796745868 0.713513 1.356635
0.4195506198 0.038797 0.16638
0.3016672406 0.124096 %0.069387
0.3673094582 0.064408 %0.089403
3.2509182736 2.400152 %0.393179
16 6.006213 %3.796818
12.597121786 1.206669 %2.69212
0.8127295684 0.038797 0.2163683.7759555785 3.049257 %0.343951
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53.5296286731 22.35985 %7.929594
DW 2!"#$$% %0.354635
Significance F
1.25366599123984E%005
#o$er %&' (pper %&' o$er %&.) (pper %&.)'
%6.1514346176 2.689313 %6.151435 2.689313405
0.3748656432 0.723619 0.374866 0.723619205
$R#!I"IT+ #T$T
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Percentile Nr. polie
3.3333333333 8
10 9
16.6666666667 10
23.3333333333 10
30 10
36.6666666667 11
43.3333333333 11
50 11
56.6666666667 12
63.3333333333 12
70 14
76.6666666667 14
83.3333333333 15
90 15
96.6666666667 18
30 32 34
Plot
0 20 40 60 80 100
0
10
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Normal Probability
Sample Percentile
Nr.polie
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SS MS F Significance F
90.3642295614 45.18211 46.59643 2.2038E%006
11.6357704386 0.969648
102
Standard Error t Stat P-value #o$er %&' (pper %&'
1.6277898332 %2.162679 0.051464 %7.06703581 0.0262629320.0005418599 3.325623 0.006047 0.000621411 0.002982633
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0.093204823 3.366252 0.005609 0.110675062 0.51682679
Residuals
%0.8106655472
%0.8049834032
%1.2626552152
%0.7928896352
%0.521102157
0.3544744877
0.7459953157
0.4443381575
%0.0496149585
1.7195688728
%0.66502304281.7131572488
%0.6094816334
0.042207755
0.496673755
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26 26 27 29 20
11 15 12 14 11
MS F Significance F
79.640151515 46.30273 1.2537E%0051.719988345
t Stat P-value #o$er %&' (pper %&'
%0.8460209625 0.412843 %6.15143462 2.689313405
6.8046107476 1.3E%005 0.374865643 0.723619205
3000 3500 4000 4500 5000 5500 6000 6500
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0
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Cheltuieli de promoare!R"N Residual Plot
Cheltuieli de promoare!R"N
Residuals
16 18 20 22 24 26 28 30 32
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Timp mediu Residual Pl
Timp mediu
Residuals
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Normal Probabilit
Sample Percentile
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Significance F
0.916560568
#o$er %&' (pper %&'
%43.265904481 32.39436
%2.5034753425 3.583371
%0.0702217456 0.049767
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4
t
10 12
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