Question

If deviations in x are 2 -3 and the corresponding deviations in y are 3 1 then covariance (x y) is

Answer 1

The covariance will be 3.334

The covariance is generally found out by analyzing the table of 2 variables, which is similar to the correlation. Deviations are calculated when there is a difference in two variables and to know the extent of the deviation they have, in covariance the difference of mean values of each variable is found out by putting all the values in the formula:

Covariance(x,y)) = ∑(x1-x)(y1-y)/N-1

                            = ∑(2-(-3))(3-1)/4-1

                            = 5*2/3

                           = 10/3

                            = 3.334

Answer 2

Answer:

Covariance (x, y)=3.33

Explanation:

Covariance is related to the directed relationship between two random variable.

Covariance is calculated with the standard deviation or correlation between random variable.

If deviations in x are 2, -3 and the corresponding deviation in y are 3,1

Here x1 =Data variable of x

        y1= Data variable of y

         x =Mean of x

         y= Mean of y

         N =Number of data variable

For sample Covariance,

                Cov (x, y)=∑(x1-x)*(y1-y)/(N-1)

                             =∑(2-(-3))*(3-1)/(4-1)

                             =5*2/3

                              =10/3  

                               =3.33  

#SPJ2