Covariance Calculator

Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.

The calculator tool used for finding the covariance of the given data is called as the Covariance calculator. Covariance of a given data is the measurement of change between two changing variables. To calculate the covariance of a given sample of ‘n’ changing x, y variables, Mean of x and Mean of y need to be calculated.

Example 1: Find the covariance of the given x and y values.

(x, y) = (1, 2) (3, 4) (5, 6) (7, 8) (9, 10)?

For the given sample of x, y the covariance can be calculated by the formula.

Cov(x, y) = 1/n -1 Σin (xi - x?) (yi - y)

n = 5

Mean of x (x?) = (1 + 3+ 5+ 7+ 9)/ 5 = 5

Mean of y, (y) = (2 + 4+ 6+ 8+ 10)/ 5 = 6

Using the covariance formula the covariance for the given data

Example 2: Find the covariance of the given x and y values.

(x, y) = (4, 3) (5, 4) (8, 6) (10, 7) (12, 15)?

For the given sample of x, y the covariance can be calculated by the formula.

Cov(x, y) = 1/n -1 Σin (xi - x?) (yi - y)

n = 5

Mean of x (x?) = (4 + 5 +8+ 10+ 12)/ 5 = 7.8

Mean of y, (y) = (3+ 4 +6 +7 +15)/ 5 = 7.0

Using the covariance formula the covariance for the given data = 11.4.