i nY= ar,
n i= 1
(1)
Yana bir muhim ko’rsatkichlardan biri bu - Mediana. Mediana - tanlanmaning medianasi, ya’ni yi2<~.n variatsion qatoming o’rtasigato’g’ri keladigan varianta:
iyni2 + y(nm+i- juft bo'Isa T
medi =i 2 agar n
и yl,a] +1 agar n -toq bo'Isa
(2)
Bunga qo’shimcha tarzda. o’rtacha kvadratik cheklanishini ko’rishimiz mumkin. St Dev - o’rtacha kvadratik chetlashish (standart og’ish):
(3)
Bulaming hammasini Minitab dasturi yordamida olishimiz mumkin va olingan ma’lumotlar bo’yicha quyidagi jadvalni keltirish lozim
2.2.2-jadval
O’zgaruvchilarning asosiy statistik ko’rsatkichilari
O’zgaruvchi
Mean
|
St Dev
|
! Minimum
|
|
Median
|
Maximum
|
Range
|
У
|
50479
|
20758
|
[24335
|
45713
|
84740
|
60405
|
X
|
38785
|
19518
|
10705
|
35085
|
79230
|
68525
|
Manba: Muallif tomonidan MINITAB dasturi orqali hisoblangan.
43
Ko’rib turganimizdek 1991-2018 yillar oralig’idagi o’rtacha Jahon YalM si 50479 mlrd dollarga, eng maksimal daraja 84740 mlrd dollarga , eng minimal daraja 24335 mlrd dollarga, eng katta va eng kichik ko’rsatkichlar orasidagi farq esa 60405 mlrd. AQSh dollariga tengdir.
Umumiy TMKlar kapitallashuv qiymatining o’rtachasi 38785 mlrd dollami, maksimal yillik kapitallashuvi 79230 mlrd dollami, eng minimal yillik kapitallashuvi 10705 mlrd dollami va maksimal va minimal qiymatlar o’rtasidagi farq 68525 mlrd dollami tashkil qilmoqda.
2) Regressiya tenglamasini tuzish
Chiziqli regressiya modelining umumiy tenglmasi quyidagi ko’rinishga ega:
у = p$ + p&x + e
Minitab dasturi yordamida quyidagicha regressiya tenglamasini ko’rishimiz mumkin:
y-= 12396 + 0,982x
Bu yerda:
b$ = 12396 x o’zgaruvchi nolga teng bo’lgan paytda у ning baholangan o’rtacha qiymati ya’ni x o’zgaruvchiga bog’liq boshqa omillar ta’sirida;
b& = 0,982 x ni bir birlikka o’zgarishi у o’rtacha qiymatining 0,982 birlikka o’sishini baholaydi;
Determinatsiva koeffitsienti
Chiziqli regressiyada foydali statistikalardan biri bu R2 - determinatsiya koeffitsientidir. R2 у о'zgaruvсhanligining bashorat qiluvchi o’zgaruvchi tomonidan topilgan regressiya tenglamasi yordamida tushintirilishi mumkin bo’lgan foizini bildiradi. Tenglamaning aniqligi yuqori bo’lganda, R2 1 ga yaqin bo’ladi. R2 ni quyidagicha fomiular yordamida toppish mumkin:
44
Yillar
|
У
|
lny
|
X
|
lnx
|
1991
|
24334,979
|
10,09967006
|
11185,05541
|
9,322333828
|
1992
|
25170,89
|
10,13344345
|
10705,34327
|
9,278498267
|
1993
|
25858,783
|
10,16040559
|
13764,16145
|
9,529823496
|
1994
|
27804,173
|
10,2329414
|
14470,19365
|
9,579846202
|
1995
|
31003,485
|
10,3418549
|
17087,72144
|
9,74611544
|
1996
|
31860,624
|
10,36912617
|
19594,31451
|
9,882994727
|
1997
|
31788,616
|
10,36686352
|
21708,24715
|
9,98544752
|
1998
|
31649,638
|
10,36248199
|
25445,27179
|
10,14428522
|
1999
|
32765,284
|
10,39712482
|
33491,84934
|
10,41905739
|
45
2000
|
33843,968
|
10,42951606
|
30963,1779
|
10,34055397
|
2001
|
33593,509
|
10,42208814
|
26815,73499
|
10,19674412
|
2002
|
34720,425
|
10,45508341
|
22770,28968
|
10,03321188
|
2003
|
38982,148
|
10,57085908
|
31253,84657
|
10,34989774
|
2004
|
43876,975
|
10,68914497
|
36677,35836
|
10,50991491
|
2005
|
47548,38
|
10,769503
|
40439,78486
|
10,60756935
|
2006
|
51496,396
|
10,8492671
|
49993,90427
|
10,81965636
|
2007
|
58118,615
|
10,97024129
|
60304,91372
|
11,00716887
|
2008
|
63752,934
|
11,06277049
|
32268,48925
|
10,38184647
|
2009
|
60393,888
|
11,00864319
|
44608,40465
|
10,70567757
|
2010
|
66025,267
|
11,09779278
|
51470,07556
|
10,84875586
|
2011
|
73244,805
|
11,2015626
|
44383,82408
|
10,70063036
|
2012
|
74639,245
|
11,22042172
|
51133,27333
|
10,84219071
|
2013
|
76769,752
|
11,24856599
|
60240,15218
|
11,00609439
|
2014
|
78852,334
|
11,27533219
|
63427,81416
|
11,05765775
|
2015
|
74689,448
|
11,2210941
|
61895,39239
|
11,03320102
|
2016
|
75734,639
|
11,23499092
|
64998,37096
|
11,08211749
|
2017
|
80144,579
|
11,29158752
|
79229,87871
|
11,28010876
|
2018
|
84740,322
|
11,34734682
|
65660,97822
|
11,09226009
|
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