Question

Cov(x-a,y-b)=.. ..??​

Answer 1

Step-by-step explanation:

(a) cov(x + a, y + b) = cov(x, y) (b) cov(x, ax+b) = a var(x) By signing up, you'll get thousands of step-by-step

Answer 2

                   

Cov (x-a, y-b) = ∑[(x-a)i - (x-a)bar  ×  (y-b)i - (y-b)bar] / (N-1)

Covariance

• Covariance is a statistical test performed to find out the relationship between two random variables.

• The variance between two variables is calculated to find out the range in which one variable changes the other variable by using the formula.
• The variable with a higher range of one will have another variable also with the higher range and the one with a lower range has the other variable with a lower range.
• Covariance may be positive or negative.
• Positive covariance occurs if two variables move in the same direction while the variables moving in different direction causes negative covariance.
• Covariance between two variables i.e X and Y is written as Cov(x,y).
• For a sample x and y, the covariance formula is,

               

                   Cov(x,y)=∑(xi-x bar) × (yi-ybar)

            where  x bar= mean of 'x' variable

                        y bar= mean of 'y' variable

                             xi= values of 'x' variable

                             yi= values of 'y' variable