Tsu-2011 - ieeetsu

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Zlieri uaryofiTi Zlieri dadebiTi korelacia korelacia korelaciis koeficientis pirdapiri gamoTvlisaTvis iyeneben formulas: r n n n n( x y ) ( x ) ( y ) i i i i i1 i1 i1 n n n n 2 2 2 2 [ n( xi ) ( xi ) ] [ n( yi ) ( yi ) ] i1 i1 i1 i1 magaliTi 7. gamovTvaloT korelaciis koeficientis mniSvneloba 6 SemTxveviT SerCeuli pirovnebis asakisa da arteriuli wnevis monacemebis mixedviT: persona A B C D E F asaki 43 48 56 61 67 70 wneva 128 120 135 143 141 152 amoxsna. nabiji 1. gavakeToT cxrili ise rogors es qvemoTaa naCvenebi: persona asaki, x wneva, y xy 2 x 2 y A 43 128 B 48 120 C 56 135 D 61 143 E 67 141 F 70 152 nabiji 2. gamovTvaloT xy , x 2 da y 2 gamosaxulebaTa mniSvnelobebi da SevitanoT cxrilis Sesabamis svetebSi. SevkriboT svetebSi moTavebli mniSvnelobebi. dasrulebul cxrils eqneba Semdegi saxe: persona asaki, x wneva, y xy 2 x 2 y A 43 128 5.504 1.849 16.384 B 48 120 5.760 2.304 14.400 C 56 135 7.560 3.136 18.225 D 61 143 8.723 3.721 20.449 E 67 141 9.447 4.489 19.881 F 70 152 10.640 4.900 23.104 x 345 y 819 xy 47.634 2 x 20.399 2 y 112.443 nabiji 3. miRebuli mniSvnelobebi SevitanoT korelaciis koeficientis formulaSi da gamovTvaloT r : r 647.634 345 819 0.897 . 2 2 (620.399 345 ) (6112.443 819 ) . 215
daskvna. korelaciis koeficientis miRebuli mniSvneloba gveubneba, rom adamianis asaksa da arteriul wnevas Soris arsebobs mkacrad dadebiTi wrfivi damokidebuleba. daskvnebi korelaciis koeficientis Sesaxeb SerCeviTi korelaciis koeficienti SeiZleba aviRoT populaciis korelaciis koeficientis Sefasebad, Tu x da y SemTxveviTi sidideebi wrfivadaa dakavSirebuli da maTi erToblivi ganawileba normaluria. hipoTeza: H0 : 0 (sidideebs Soris ar aris korelacia populacia- Si) mniSvnelovnebis done: n2 kriteriumis statistika: T r T( n2) 2 1r n2 kriteriumis mniSvneloba T.V.: t r 2 1r alternativa kritikuli are C.R. ( H0 -is uaryofis are) H1 : 0 t tn 2, , H1 : 0 t tn 2, , H1 : 0 t tn2, /2 an t tn 2, /2 (sadac tn 2, aris Tavisuflebis n 2 xarisxis mqone stiudentis ganawilebis zeda -kritikuli wertili anu kritikuli mniSvneloba C.V.). P{ T t | H0}, Tu H1: 0; P - mniSvneloba: P P{ T t | H0}, Tu H1: 0; = P{| T | | t || H0}, Tu H1: 0. 1 FT ( t), Tu H1 : 0; = FT ( t), Tu H1 : 0; 2 [1 FT (| t |)], Tu H1 : 0. gadawyvetileba: Tu t C.R., maSin H 0 hipoTezas ukuvagdebT, winaaRmdeg SemTxvevaSi amis safuZveli ara gvaqvs. P - mniSvnelobis meTodi: Tu P , maSin H 0 hipoTezas ukuvagdebT, winaaRmdeg SemTxvevaSi amis safuZveli ara gvaqvs. magaliTi 8. 0.05 mniSvnelovnebis doniT SeamowmeT hipoTeza wina magaliTSi gamoTvlili korelaciis koeficientis mniSvnelovnebis Sesaxeb. amoxsna (standartuli meTodi). nabiji 1. CamovayaliboT ZiriTadi da alternatiuli hipoTezebi: H0 : 0, H 1 : 0. 216
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omar furTuxia albaToba da statistik
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statistikuri hipoTezis Semowmeba no
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. Tu P( ) aTobebi. P( A): P( ) A
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I. kursze, romelzec sami jgufia, jg
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magaliTi 4. vipovoT albaToba imisa,
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3 10! 8910 С 10 120. 3!7! 6 mag
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C 2 4 6 2 496 C32 0,012 . davaleb
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sa, rom: a). orive nomeri iqneba er
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Tu A ,..., 1 , A2 An xdomilebaTa sr
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1 1 1 1 1 . * * m m1 m 1 m1 sauke
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kamaTelze movida kenti qula, C -- o
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amocanis pirobebSi cxadia agreTve,
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is SemTxvevaSi ukanaskneli Sedegi S
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Sesabamisad, saZiebeli albaToba alb
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oba aris wina cdaze CaWris albaTobi
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22. ( A B) , P( A| B) 1/3, PA ( )
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42. albaToba imisa, rom oTx damouki
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5). P{ xk} F( xk 0) F( xk ) (Se
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E( | B) xiP( xi | B) . 1 cxadia,
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{ ggg,ggs,gsg,sgg,gss,sgs,ssg, sss}
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magaliTi 6. mocemulia SemTxveviTi s
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P{ 2} P{ 0} P{ 2} 0.1 0.4
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aqedan gamomdinare, korelaciis koef
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17. kompiuteri daprogramebulia 0-da
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37. samSeneblo kompanias sTavazoben
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Tavi IV diskretul ganawilebaTa gamo
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ualod drois mocemul intervalSi xidz
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9. universitetis studentTa 30%-is a
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27. martis TveSi Semosuli satelefon
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43. umaRlesi ligis fexburTis matCeb
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va arcerT kamaTelze, maSin is arafe
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2 2 2 () D x f x dx . asimet
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gavixsenoT, rom ( MA) . meore mxri
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x amoxsna. visargebloT formuliT: F(
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a). ipoveT c ; b). gamoTvaleT moda;
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Tavi VI normaluri ganawileba SemTxv
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magaliTi 4. vipovoT albaToba imisa,
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X -s Soris mdebare aris farTobi 0.5
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amitom 12 a 16a 0.407 da 0.900 .
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cali SuSis sawmendidan ramdenis sig
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obili 56 mili/sT siCqariT moZraobis
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52. uwyveti SemTxveviTi sididis ga
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Tavi VII albaTobis Teoriis zRvariTi
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Tu axla gavixsenebT, rom ( x) ( x)
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amoxsna. SemoviRoT xdomilebebi: A {
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n n 2(0.005 ) 1 0.95, anu ( 0.005 )
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18. detalebis 80% I xarisxisaa. ram
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s t a t i s t i k a Tavi I wertilov
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ucnobi parametris maqsimaluri dasaj
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magaliTi 2. cnobilia, rom garkveuli
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ndobis intervali mexuTe klaselebis
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tervalisaTvis, roca n 10 ; e). 95%
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Tavi II ndobis intervali bernulis s
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4. gamokiTxuli 1015 axalgazrdidan 1
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Tavi III ndobis intervali dispersii
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18.6 19.5 20.2 20.4 19.3 21 20.3 19
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26. 22 balaxis sakreWi manqanis mie
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Tavi IV 2 hipoTezaTa Semowmeba saSu
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xE 43260 42000 z 1.32 . / n 523
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2. CamoayalibeT ZiriTadi da alterna
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15. miuTiTeT unda ukuvagdoT Tu ara
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pasuxebi: 1. 2.58 ; 1.65; -2.58; -
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X E gamoiyene T , T.x. n 1 * ' S
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Seesabameba 0.025 -sa da 0.01 -
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mniSvnelovnebis doniT gvaqvs Tu ara
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gadawyvetileba: Tu T.V.C.R., maSin
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magaliTi 5. vipovoT P -mniSvneloba,
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8. plastikatis boTlSi moTavsebuli 1
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hipoTezis Semowmeba puasonis popula
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3. samSobiaro saxlis warsuli Canawe
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Tavi VIII ndobis intervali da hipoT
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3. uZravi qonebis agentis mtkicebiT
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finansur daxmarebas. imis gasarkvev
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pasuxebi: 1. H0 : E 1800 , H1 : E
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( xn y ) z / n / m a a ( x y )
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P{ T t | H0}, Tu H1 : a1 a2 0; P
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(sadac z aris N(0,1) -is zeda -kr
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amerika evropa 729 329 450 330 481
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TiToeuli jgufidan SemTxveviT SerCeu
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SeniSvna: saSualoTa Sesaxeb tolobis
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gadavideT saSualoebis Sesaxeb hipoT
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4. mkvlevaris SefasebiT studenti go
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Page 179 and 180: Tavi XIII oramokrefiani amocanebi b
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Page 185 and 186: 23. dedaqalaqis SemTxveviT SerCeuli
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Page 191 and 192: e 26.7 55.1 66.64 38.96 12.6 i (aq
Page 193 and 194: programebs. SemTxveviT SerCeul myid
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Page 227 and 228: saxlis gayidvis fasi a). ormxrivi a
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Page 231 and 232: determinaciis koeficienti. davweroT
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Page 241 and 242: Cven gvaqvs sakmarisi safuZveli dav
Page 243 and 244: fexburTi kalaTburTi xelburTi ------
Page 245 and 246: gazze benzinze eleqtronuli meqaniku
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Page 249 and 250: pasuxebi: 1. H 0 : a 1 a 2 a 3 , H
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44. saTamaSo kamaTels agoreben samj
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). A -- pirveli agdebisas movida 1
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81. msrolelis mier samiznis daziane
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literatura 1. g. mania. albaTobis T
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