chiziqli juft regrissiya tenglamasi

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7-amaliy mashg’ulot. chiziqli juft regrissiya tenglamasining ekku. iqtisodiy-ijtimoiy muammolarni korrelyasion-regression tahlil usullari bilan samarali modellashtirishda qaralayotgan omillar o’rtasidagi eng yaxshi bog’lanish shakllarini tanlash katta rol o’ynaydi. biz ushbu bo’limda ko’pchilik hollarda foydalanila-digan regressiya funksiyalarining matematik modellarini va mo-dellardagi noma’lum parametrlarni aniqlash uchun eng kichik kvad-ratlar usuli bilan hosil qilingan normal tenglamalar tizimini keltiramiz. 1. chiziqli funksiya y = a0+a1 x (1.1) 2. ikkinchi darajali parabola (1.2) 3. kubik parabola (1.3) 4. k – darajali polinom (1.4) 5. giperbola (1.5) 6. k – darajali giperbola (1.6) 7.ko’rsatkichli funksiya (1.7) 8. darajali (bir resursli ishlab chiqarish) funksiya (1.8) 9. logarifmik funksiya (1.9) 10. yarim logarifmik funksiya (1.10) 11. logistik funksiya eng avvalo berilgan funksiyani ko’rinishga keltiramiz, so’ngra eng kichik kvadratlar usuli bilan quyidagi tenglamalar tizimini hosil qilamiz: (1.11) 12. neoklassik foydalilik kobba-duglas ishlab chiqarish funksiyasi . model darajasidagi parametrlarni aniqlash uchun, avvalo modelni logarifmik-chiziqli ko’rinishga o’zgartirish lozim: . shundan so’ng normal tenglamalar …

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ir iqtisodiy birlik (tarmoq, korxona, sex, uchastka va hokazo) ishlab chiqarishda har xil omillar sarflanishlari (xom ashyo, elektr quvvati, mehnat resurslari va hokazo) o’rtasidagi bog’lanishni ifodalovchi funksiya va ishlab chiqarilayotgan mahsulot hajmi bilan tasvirlanadi. endi ikki omilli chiziqli modelni qaraylik: (2.16) parametrlar quyidagi tenglamalar tizimini yechish orqali topiladi: (2.17) bunda to’plamli korrelyasiya koeffisiyenti quyidagicha topiladi: (2.18) - korrelyasiya koeffisiyentlari (2.15) formulaga o’xshash formulalar orqali hisoblanadi: (2.19) (2.20) image4.wmf oleobject4.bin image5.wmf oleobject5.bin image6.wmf oleobject6.bin image7.wmf oleobject7.bin image8.wmf oleobject8.bin image9.wmf oleobject9.bin image10.wmf oleobject10.bin image11.wmf oleobject11.bin image12.wmf oleobject12.bin image13.wmf oleobject13.bin image14.wmf oleobject14.bin image15.wmf oleobject15.bin image16.wmf oleobject16.bin image17.wmf oleobject17.bin image18.wmf oleobject18.bin image1.wmf image19.wmf oleobject19.bin image20.wmf oleobject20.bin image21.wmf oleobject21.bin image22.wmf oleobject22.bin image23.wmf oleobject23.bin oleobject1.bin image24.wmf oleobject24.bin image25.wmf oleobject25.bin image26.wmf oleobject26.bin image27.wmf oleobject27.bin image28.wmf oleobject28.bin image2.wmf image29.wmf oleobject29.bin image30.wmf oleobject30.bin image31.wmf oleobject31.bin image32.wmf oleobject32.bin image33.wmf oleobject33.bin oleobject2.bin image34.tmp image35.tmp image36.tmp image37.tmp image38.tmp image39.tmp image3.wmf oleobject3.bin 3 3 2 2 1 0 x a x a x …

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0 2 2 1 0 k k n k k k k n k n x y x a x a x a x a x y x a x a x a x a y x a x a x a na l l l l l l l l l l l l l l l l l l l l l l x a a y 1 0 + = ï ï î ï ï í ì = + = + å å å å å . 1 1 , 1 2 1 0 1 0 x y x a x a y x a na k x a a y 1 0 + = ï ï î ï ï í ì = + = + å å å å å . 1 1 , 1 2 1 0 1 0 k k k k x y …

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7-amaliy mashg’ulot. chiziqli juft regrissiya tenglamasining ekku. iqtisodiy-ijtimoiy muammolarni korrelyasion-regression tahlil usullari bilan samarali modellashtirishda qaralayotgan omillar o’rtasidagi eng yaxshi bog’lanish shakllarini tanlash katta rol o’ynaydi. biz ushbu bo’limda ko’pchilik hollarda foydalanila-digan regressiya funksiyalarining matematik modellarini va mo-dellardagi noma’lum parametrlarni aniqlash uchun eng kichik kvad-ratlar usuli bilan hosil qilingan normal tenglamalar tizimini keltiramiz. 1. chiziqli funksiya y = a0+a1 x (1.1) 2. ikkinchi darajali parabola (1.2) 3. kubik parabola (1.3) 4. k – darajali polinom (1.4) 5. giperbola (1.5) 6. k – darajali giperbola (1.6) 7.ko’rsatkichli funksiya (1.7) 8. darajali (bir resursli ishlab chiqarish) funksiya (1.8) 9. logarifmi...

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