Cross-correlation analysis of the productivity of sugar beets and factors, that it is formed

 

      Will expect middle arithmetic simple for effective and two factor signs:

               

      

      Will expect middle harmonious simple for effective and two factor signs:

             

        

      Will expect middle quadratic simple for effective and two factor signs: 
 

         

      To check up the rightness of calculation of averages we can utillizing the rule of majority. Essence of him consists in that middle harmonious always less than, than middle arithmetic, and in same queue yet less than, than middle quadratic. That

      Charges of forages are on a cow: 38,99<39,09<39,15

      For the output of calves: 93,66<93,7<93,72

      For will milk: 36,5<36,65<38,49

      As see the rule of majority executed.

      Will expect middle arithmetic weighed and confirming the calculation of counting out a method from the conditional beginning (by the method of moments).

      For the calculation of middle arithmetic it is necessary to utillize two properties of middle arithmetic the method of moments:

      1. if to decrease all variants on some number and, the middle will diminish on this number;

      2. if to decrease variants in and one times (to divide), the middle will diminish in so much times.

      Middle the method of moments calculated on a formula:

                                                      =m₁i + a,

      where m₁- moment of the first order. He is evened: , 

      where а – number which all variants diminish on, more frequent it variant which is in the middle  of row or has most frequency; і – size of interval (as in  our case row of equalinterval).

      Utillizing the interval variation row of distributing after the level of bringing of mineral fertilizers, will define  the middle level of bringing of mineral fertilizers for all aggregate the method of moments.  

Table 12 . Calculation of middle arithmetic by the method of moments

 
 

       

      Results of calculations, resulted in a table, put in a formula:

      m₁=     m₁і + а = 0,87*1,54 +37,71 = 39,05 c.f.un. 

      Parallel determine middle arithmetic weighed:

      

     Consequently, middle arithmetic, expected two in number of different ways, gives a the same result, and we can assert that the middle level of charges of forages makes for aggregates 39,05 c.f.un.

      Utillizing the interval variation row of distributing after the output of calves, will define  the middle level of output of calves for all aggregate the method of moments.  
 
 
 
 
 
 

Table 13.  Calculation of middle arithmetic by the method of moments

 

       

      Results of calculations, resulted in a table, put in a formula:

      m₁= 0,14    m₁і + а = 0,14*1,4 +93,5 = 93,69 chairmen

      Parallel determine middle arithmetic weighed:  

      

      Consequently, middle arithmetic, expected two in number of different ways, gives a the same result, and we can assert that the middle level of output of calves for aggregates makes 93,7 chairmen.

      Utillizing the interval variation row of distributing after a yield, will define  the middle level of yield for all aggregate the method of moments.  

Table 14.  Calculation of middle arithmetic by the method of moments

 
 

       

      Results of calculations, resulted in a table, put in a formula:

      m₁= -0,667     m₁і + а = -0,667*1,98 +38,23 = 36,91 c

      Parallel determine middle arithmetic weighed:  

     

       Consequently, middle arithmetic, expected two in number of different ways, gives a the same result, and we can assert that the middle level of yield on a cow for aggregates makes 36,91 c.

     Will expect middle harmonious weighed and middle quadratic weighed for effective and factor signs. 
 

Table 15.A weekend and calculation information is for the calculation of the weighed averages on the expense of forages(X1)

 
 
 

Table 16 A information and calculation information is for the calculation of the weighed averages on the output of calves (Х₂)

 
 
 
 
 
 

Table 17.Weekend and calculation information for the calculation of the weighed averages after a yield on a cow  (Y)

 
 

1. The middle harmonious is weighed: 
 

                

      

1. The middle quadratic is weighed: 

      

  

        

      

 

      Again will check or the expected middle the rule of majority answer:

      For the charges of forages: 38,95<39,05<39,09

      For the output of calves: 93,6<93,69<93,71