Correlation and regression analysis on body mass and body size index of Xinjiang brown cattle

doi:10.3969/j.issn.1004-1524.2021.07.03

Acta Agriculturae Zhejiangensis ›› 2021, Vol. 33 ›› Issue (7): 1177-1183.DOI: 10.3969/j.issn.1004-1524.2021.07.03

• Animal Science • Previous Articles Next Articles

Correlation and regression analysis on body mass and body size index of Xinjiang brown cattle

LI Tao¹(), ZHANG Mei², LIU Jianming¹^,^*(), CHU Hongzhong¹, CHEN Chunhua¹, YANG Guangwei¹, TUAN Yong¹, QIU Meiyu³

1. Yili Animal Husbandry Science Research Institute, Yining 835000, China
2. Yili Vocational and Technical College, Yining 835000, China
3. Institute of Biotechnology, Xinjiang Academy of Animal Husbandry, Urumqi 830001, China

Received:2020-07-08 Online:2021-07-25 Published:2021-08-06
Contact: LIU Jianming

Abstract

Abstract:

The experiment was conducted to explore correlation between body mass and body size and constructed regression equation for different growth stages in Xinjiang brown cattle, so as to provide an effective and direct method for Xinjiang brown cattle breeding. Four individual size indexes and body weight in 4 growth stages(6 months, 12 months, 18 months and 24 months) of Xinjiang brown cattle were measured and the correlation analysis and stepwise linearity regression analysis were performed in Yili area. There was a significant correlation between body weight and body size for different growth stages of Xinjiang brown cattle (P<0.01), the correlation between body size indexes and body weight was higher than others growth stage at 12 months old, and other body size indexes also showed a significant correlation(P <0.01).By the regression models estimating body mass for different growth stages of Xinjiang brown cattle, the optimal regression equations and the coefficients were 0.60, 0.63, 0.55 and 0.44, which indicated that there was a significant linear relationship between body weight and body size index in each stage. The correlation and regression analysis had constructed 4 linear regression equations for different growth stages of body mass and body weight, which was of great significance to Xinjiang brown cattle breeding in practice.

Key words: Xinjiang brown cattle, body mass, body size, correlation, stepwise linear regression

CLC Number:

S826

LI Tao, ZHANG Mei, LIU Jianming, CHU Hongzhong, CHEN Chunhua, YANG Guangwei, TUAN Yong, QIU Meiyu. Correlation and regression analysis on body mass and body size index of Xinjiang brown cattle[J]. Acta Agriculturae Zhejiangensis, 2021, 33(7): 1177-1183.

Figures/Tables 10

References 25

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性状 Characters	6月龄(Six months old)			12月龄(Twelve months old)			18月龄(Eighteen months old)			24月龄(Twenty-four months old)
性状 Characters	样本 Sample	平均值 Average value	变异系数 CV/%	样本 Sample	平均值 Average value	变异系数 CV/%	样本 Sample	平均值 Average value	变异系数 CV/%	样本 Sample	平均值 Average value	变异系数 CV/%
体高 Body height/cm	1204	101.79 ±7.71	7.57	869	115.80 ±9.15	7.90	484	125.27 ±5.43	4.66	385	130.28 ±7.92	6.08
体斜长 Body length/cm		115.00 ±8.82	7.67		133.17 ±10.71	8.04		146.90 ±7.37	5.01		154.35 ±11.26	7.30
胸围 Chest girth/cm		122.95 ±10.21	8.30		146.67 ±11.03	7.52		159.15 ±7.76	4.88		172.35 ±11.97	6.95
管围 Circumference of cannon bone/cm		14.21 ±1.03	7.25		16.42 ±1.47	8.95		17.65 ±1.19	6.74		18.68 ±1.37	7.33
体重 Body weight/kg		155.22 ±30.19	19.45		255.49 ±42.24	16.53		336.94 ±40.58	12.04		419.14 ±65.68	15.67

性状 Characters	6月龄(Six months old)			12月龄(Twelve months old)			18月龄(Eighteen months old)			24月龄(Twenty-four months old)
性状 Characters	样本 Sample	平均值 Average value	变异系数 CV/%	样本 Sample	平均值 Average value	变异系数 CV/%	样本 Sample	平均值 Average value	变异系数 CV/%	样本 Sample	平均值 Average value	变异系数 CV/%
体高 Body height/cm	1204	101.79 ±7.71	7.57	869	115.80 ±9.15	7.90	484	125.27 ±5.43	4.66	385	130.28 ±7.92	6.08
体斜长 Body length/cm		115.00 ±8.82	7.67		133.17 ±10.71	8.04		146.90 ±7.37	5.01		154.35 ±11.26	7.30
胸围 Chest girth/cm		122.95 ±10.21	8.30		146.67 ±11.03	7.52		159.15 ±7.76	4.88		172.35 ±11.97	6.95
管围 Circumference of cannon bone/cm		14.21 ±1.03	7.25		16.42 ±1.47	8.95		17.65 ±1.19	6.74		18.68 ±1.37	7.33
体重 Body weight/kg		155.22 ±30.19	19.45		255.49 ±42.24	16.53		336.94 ±40.58	12.04		419.14 ±65.68	15.67

性状 Characters	体重 Body weight (Y)	体高 Body height (X₁)	体斜长 Body length (X₂)	胸围 Chest girth (X₃)	管围 Circumference of cannon bone(X₄)
体重Body weight(Y)	1.00
体高Body height(X₁)	0.51^**	1.00
体斜长Body length(X₂)	0.61^**	0.76^**	1.00
胸围Chest girth(X₃)	0.62^**	0.73^**	0.76^**	1.00
管围Circumference of cannon bone(X₄)	0.42^**	0.43^**	0.47^**	0.56^**	1.00

性状 Characters	体重 Body weight (Y)	体高 Body height (X₁)	体斜长 Body length (X₂)	胸围 Chest girth (X₃)	管围 Circumference of cannon bone(X₄)
体重Body weight(Y)	1.00
体高Body height(X₁)	0.51^**	1.00
体斜长Body length(X₂)	0.61^**	0.76^**	1.00
胸围Chest girth(X₃)	0.62^**	0.73^**	0.76^**	1.00
管围Circumference of cannon bone(X₄)	0.42^**	0.43^**	0.47^**	0.56^**	1.00

性状 Characters	体重 Body weight (Y)	体高 Body height (X₁)	体斜长 Body length (X₂)	胸围 Chest girth (X₃)	管围 Circumference of cannon bone(X₄)
体重Body weight(Y)	1.00
体高Body height(X₁)	0.58^**	1.00
体斜长Body length(X₂)	0.65^**	0.72^**	1.00
胸围Chest girth(X₃)	0.79^**	0.73^**	0.75^**	1.00
管围Circumference of cannon bone(X₄)	0.58^**	0.59^**	0.65^**	0.74^**	1.00

Correlation and regression analysis on body mass and body size index of Xinjiang brown cattle

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变量 Variable	参数估计 Parameter estimate	标准误差 Standard error	t值 t value	P值 P value
常量Constant	-279.36	9.05	-30.87	<0.001
体高Body height(X₁)	0.40	0.11	3.49	<0.001
体斜长Body length(X₂)	1.53	0.10	16.18	<0.001
胸围Chest girth(X₃)	1.39	0.59	16.96	<0.001
管围Circumference of cannon bone(X₄)	3.23	0.11	5.63	<0.001

变量 Variable	参数估计 Parameter estimate	标准误差 Standard error	t值 t value	P值 P value
常量Constant	-211.79	12.53		<0.001
体斜长Body length(X₂)	0.57	0.13	22.68	<0.001
胸围Chest girth(X₃)	2.67	0.12	4.27	<0.001

变量 Variable	参数估计 Parameter estimate	标准误差 Standard error	t值 t value	P值 P value
常量Constant	-523.12	30.33	-17.24	<0.001
体高Body height(X₁)	1.55	0.28	19.11	<0.001
体斜长Body length(X₂)	1.24	0.19	6.47	<0.001
胸围Chest girth(X₃)	3.03	0.16	5.55	<0.001

变量 Variable	参数估计 Parameter estimate	标准误差 Standard error	t值 t value	P值 P value
常量Constant	-238.38	37.80	-6.31	<0.001
体高Body height(X₁)	-3.32	0.60	-5.49	<0.001
体斜长Body length(X₂)	3.01	0.32	9.32	<0.001
胸围Chest girth(X₃)	3.62	0.32	11.28	<0.001

生长阶段 Stage of age	回归模型 Regression model	决定系数 Determination coefficient(R²)
6月龄 six months old	Y₁=-279.36+0.40X₁+1.53X₂+1.39X₃+3.23X₄	0.60
12月龄 twelve months old	Y₂=-211.79+0.57X₂+2.67X₃	0.63
18月龄 eighteen months old	Y₃=-523.12+1.55X₁+1.24X₂+3.03X₃	0.55
24月龄 twenty-four months old	Y₄=-238.38-3.32X₁+3.01X₂+3.62X₃	0.44

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