Tsu-2011 - ieeetsu

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w n eva persona asaki, x wneva, y A 43 128 B 48 120 C 56 135 D 61 143 E 67 141 F 70 152 amoxsna. nabiji 1. davxazoT sakoordinato sibrtye da movniSnoT x da y RerZebi. nabiji 2. movniSnoT TiToeuli wertili grafikze rogorc es qvemo- Taa naCvenebi: gabnevis diagrama 160 150 140 130 120 110 30 40 50 60 70 80 x da y sidideebs Soris SesaZlebelia arsebobdes ramodenime gansxvavebuli tipis damokidebuleba: 1. dadebiTi wrfivi kavSiri arsebobs (gvaqvs) im SemTxvevaSi, rodesac wertilebi daaxloebiT koncentrirebulia aRmavali swori xazis irgvliv da erTdroulad orive x da y sididis mniSvnelobebi zrdadia. aseTi kavSiri gvaqvs maSin, rodesac x sididis zrdasTan erTad izrdeba y sididec. asaki dadebi Ti wrfi vi kavSi ri 400 300 200 100 0 0 50 100 150 2. uaryofiTi wrfivi kavSiri arsebobs im SemTxvevaSi, rodesac wertilebi daaxloebiT koncentrirebulia daRmavali swori xazis irgvliv. aseTi kavSiri gvaqvs maSin, rodesac x sididis zrdasTan erTad klebulobs y sidide da piriqiT. 207
uaryofi Ti wrfi vi kavSi ri 400 300 200 100 0 0 50 100 150 3. arawrfivi kavSiri arsebobs im SemTxvevaSi, rodesac wertilebi daaxloebiT koncentrirebulia arawrfivi (mrudi) xazis (wiris) irgvliv. es damokidebuleba aRiwereba Sesabamisi wiris bunebiT. arawrfi vi kavSi ri 400 300 200 100 0 0 50 100 150 4. ar aris kavSiri im SemTxvevaSi, rodesac wertilebi uwesrigodaa mimofantuli, anu ar Cans rom isini raime wiris irgvlivaa koncentrirebuli. ar ari s kavSi ri 600 400 200 0 0 50 100 150 zemoT moyvanil magaliTSi x (msubuq avariaTa ricxvi) da y (fatalur avariaTa ricxvi) sidideebs Soris adgili aqvs wrfiv dadebiT kavSirs. wirs, romelic aRwers kavSirs (damokidebulebas) x da y sidideebis mniSvnelobebs Soris misadagebis wiri ewodeba. am wiris povnis sakiTxebs swavlobs maTematikuri statistikis nawili, romelsac regresiuli analizi ewodeba. wiris mosaZebnad iyeneben e. w. umcires kvadratTa meTods. Tu sidideebs Soris gvaqvs wrfivi kavSiri y() x ax b, maSin amboben rom x da y sidideebs Soris wrfivi regresiuli kavSiria da y() x ax b wrfes uwodeben regresiis wrfis gantolebas (xolo am formuliT gamo- Tvlil y ' i y( xi ) axi b mniSvnelobas prognozi ewodeba). umcires kvadratTa meTodi gvaZlevs, rom am SemTxvevaSi: 208
Page 1 and 2:
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
Page 157 and 158: TiToeuli jgufidan SemTxveviT SerCeu
Page 159 and 160: SeniSvna: saSualoTa Sesaxeb tolobis
Page 161 and 162: gadavideT saSualoebis Sesaxeb hipoT
Page 163 and 164: 4. mkvlevaris SefasebiT studenti go
Page 165 and 166: Tavi XI oramokrefiani amocanebi pop
Page 167 and 168: '2 '2 '2 '2 TV . . s1 / s2 246.38
Page 169 and 170: 5. sagadasaxado inspeqtoris mtkiceb
Page 171 and 172: 15. qvemoT moyvanilia A da B tipis
Page 173 and 174: s n s n ' ' D D d n tn 1, /2 aD d
Page 175 and 176: s 1 1 1 1 [ d ( d ) ] [4890 (
Page 177 and 178: 4. mkvlevars ainteresebs axali diet
Page 179 and 180: Tavi XIII oramokrefiani amocanebi b
Page 181 and 182: ( 0.36 0.242, 0.36 0.242) , ( 0.60
Page 183 and 184: 11. 200 gamokiTxuli mozardidan 50-s
Page 185 and 186: 23. dedaqalaqis SemTxveviT SerCeuli
Page 187 and 188: Tavi XIV Tanxmobis kriteriumebi xi-
Page 189 and 190: nabiji 4. gadawyvetilebis miReba: r
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
Page 195 and 196: nabiji 2. SevadginoT niSanTa SeuRle
Page 197 and 198: 32 29 3235 32 24 e2,1 10.55 , e 8
Page 199 and 200: nebis doniT, aris Tu ara avtomobili
Page 201 and 202: hipoTeza imis Sesaxeb, rom arCeuli
Page 203 and 204: proporcia, romlebic institutSi dadi
Page 205 and 206: is Sesaxeb, rom im momxmareblebis p
Page 207: fatalur avariaTa ricxvi Tavi XVII d
Page 211 and 212: ' ' ' 2 x i y i y i yi yi ( yi yi)
Page 213 and 214: B trestis monacemebi 5. rac ufro ko
Page 215 and 216: anu y 2.29 x 49.9 . es gantoleba ko
Page 217 and 218: daskvna. korelaciis koeficientis mi
Page 219 and 220: 218 amocanebi 1. gamoTvaleT korelac
Page 221 and 222: gacdena, x 10 12 2 0 8 5 Sefaseba,
Page 223 and 224: Tavi XVIII regresia da korelacia 1.
Page 225 and 226: wrfiT (regression sum of squares).
Page 227 and 228: saxlis gayidvis fasi a). ormxrivi a
Page 229 and 230: 2 SSE 21995.88 S 168.91 . n2 13
Page 231 and 232: determinaciis koeficienti. davweroT
Page 233 and 234: 2 va damakmayofilebel Sedegs (deter
Page 235 and 236: x1 (b 1 ) 4.146 0.751 5.520 0.000 2
Page 237 and 238: spirmenis rangobrivi korelaciis koe
Page 239 and 240: Tavi XIX dispersiuli analizi (ANOVA
Page 241 and 242: Cven gvaqvs sakmarisi safuZveli dav
Page 243 and 244: fexburTi kalaTburTi xelburTi ------
Page 245 and 246: gazze benzinze eleqtronuli meqaniku
Page 247 and 248: sakredito baraTiT sargeblobisas pro
Page 249 and 250: pasuxebi: 1. H 0 : a 1 a 2 a 3 , H
Page 251 and 252: varianti # 2007.1.1 1. Ada B damouk
Page 253 and 254: ( XY , ) (0.5q.); cov(5 X, 4Y 7) (0
Page 255 and 256: danarTi (statistikuri cxrilebi) k
Page 257 and 258: 1 x N(0.1) -is ganawilebis funqcii
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t (stiudentis) ganawilebis zeda -k
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2 (xi kvadrat) ganawilebis zeda -
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F( n, m ) (fiSeris) ganawilebis zed
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14. studentma unda Caabaros 4 gamoc
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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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