Correlation Analysis and Path Analysis and Establish of the Best Multiple Linear Regression Equation between Body Weight and Body Size Traits of the Bull of Weining Cattle
To study the correlation between body weight and body size traits of Weining bulls,and to clarify the direct and indirect effects of body size traits on body weight,the body weight and body size data of 29 Weining bulls over 24 months old,with normal growth and development,health and typical phenotypic characteristics were measured from November 2022 to November 2023.The correlation analysis,path analysis,and stepwise regression analysis of body weight and body size traits of Weining bulls were carried out to establish the optimal regression equation..The results showed that:there was a highly significant positive correlation(P<0.01)between body weight(y)and body height(x1),body length(x2),hip height(x3),chest circumference(x4),abdominal circumference(x5),circumference of cannon bone(x6),as well as various body size traits of the bull of Weining cattle.The correlation coefficient between abdominal circumference(x5)and body weight(y)was the highest(0.9546).Abdominal circumference(x5)has the greatest direct effect on body weight(y),with a direct path coefficient of 0.6558.Chest circumference(x4)has the greatest indirect effect on body weight(y)through abdominal circumference(x5),with an indirect path coefficient of 0.5518.The best multiple linear regression equation was established by stepwise regression method,and the equation is:y=-795.5392+2.4444x3+1.6745x4+2.8519x5.The F-value of the model is 180.98,and the determination coefficient R2=0.9560(P<0.01).It can be seen that abdominal circumference,chest circumference and cross height are the main traits affecting the weight of Weining bulls,which can be used as an important reference trait for weight selection of Weining bulls in subsequent breeding.
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