18-variant(Saidjonov Shohzod bi-70) Yechilishi

18-variant(Saidjonov Shohzod BI-70)

Yechilishi:

i	1 gektar yerga solingan o'g'it miqdori (x)	1 gektar yerdan olingan hosil miqdori (y)	x²	y²	XY	(Xi-Xo'r)²	(Yi-Yo'r)²	Ŷx	y-Ŷx	Ai%
1	4.6	11.8	21.16	139.24	54.28	11.56000	21.16000	12.2086	-0.4086	3.46289
2	8.4	15.6	70.56	243.36	131.04	0.16000	0.64000	16.8931	-1.2931	8.28912
3	6.8	15.8	46.24	249.64	107.44	1.44000	0.36000	14.9207	0.8793	5.56526
4	7.8	16.8	60.84	282.24	131.04	0.04000	0.16000	16.1534	0.6466	3.84852
5	10.6	19.6	112.36	384.16	207.76	6.76000	10.24000	19.6052	-0.0052	-0.0264
6	9.8	18.8	96.04	353.44	184.24	3.24000	5.76000	18.6190	0.1810	0.96295
∑	48	98.4	407.2	1652.08	815.8	23.20000	38.32000	98.4000	0.0000	22.1023
o'rtacha	8.000	16.400	67.867	275.347	135.967	-	-	-	-	3.68372
ơ	1.9664	2.5272
ơ^2	3.8667	6.3867

A) 1- topshiriq: y=a+bx chiziqli regressiyaning a va b parametrlarni toping va regressiya tenglamasini yozing

b=	1.2327586
a=	6.537931034
a va b ni parametr qiymatlari o'rniga qo'ysak quyidagi regressiya tenglamasini olamiz
	Yx=6,4+1,22x
Xulosa: Xulosa qilib aytganda tuzilgan regressiya tenglamasi o'rtacha yerga solinadigan o'g'it miqdorining 1 sentnerga ortishi 1 gektar yerdan olinadigan hosil miqdorining 1,22 foizga ortishiga olib keladi

2-topshiriq: Korrelyatsiya va determinatsiya koefitsientlarini hisoblang

rxy=

0.959200266

korellyatsion bog'lanish to'g'ri va kuchli bog'lanish

r²xy=

0.92006515

determinatsiya koefitsientining bu qiymati natija y -ning variatsiyasi 88,1 foiz x omil belgining variatsiyasiga bog'liqligini ko'rsatadi

3-topshiriq: Aproksimatsiya o'rtacha xatoligini hisoblang

Ᾱ=

3.68372

bu natijaviy belgining hisoblangan qiymatlari nazariy qiymatlaridan 4,73 foizga chetlanishini ko'rsatadi

B) 1-topshiriq: Y va X belgilar orasida darajali bog'lanish bor deb hisoblab regressiya tenglamasini tuzing.

Tenglamani avval logarifmlab olamiz

logy=loga+xlogb			Y=logy				C=loga		B=logb
Y=C+Bx
i	1 gektar yerga solingan o'g'it miqdori (x)	1 gektar yerdan olingan hosil miqdori (y)		YX	Y²	X²		(Yi-Yo'r)²		(Xi-Xo'r)²	Ŷx	(y-Ŷx)²
1	0.662758	1.071882		0.7104	1.1489	0.4392		0.0189		0.0507	11.983	0.033
2	0.924279	1.193125		1.1028	1.4235	0.8543		0.0003		0.0013	16.993	1.939
3	0.832509	1.198657		0.9979	1.4368	0.6931		0.0001		0.0031	15.032	0.589
4	0.892095	1.225309		1.0931	1.5014	0.7958		0.0003		0.0000	16.278	0.273
5	1.025306	1.292256		1.3250	1.6699	1.0513		0.0069		0.0188	19.447	0.023
6	0.991226	1.274158		1.2630	1.6235	0.9825		0.0042		0.0106	18.582	0.047
∑	5.328173	7.255387		6.4921	8.8040	4.8162		0.0306		0.0847	98.315	2.906
o'rtacha	0.888	1.209		1.08	1.47	0.80		-		-	-	-
ơ	0.118781849	0.0714179
ơ^2	0.014109128	0.0051005

B=	0.58009	ŷ=0,658+0,612x		4.94423
C=	0.69410	Y=10^0,658*x^0,612
	javob:	Ýx=4,55*x^0,612

2-topshiriq: korrelyatsiya indeksini hisoblang

Ƥxy=	0.738260473

Xulosa: Xulosa qilib aytganda darajali bog'lanish kuchi chiziqli bog'lanishga qaraganda kuchsizroq bog'lanish yani 0.738 ga teng.