# What is covariance with example?

## What is covariance with example?

Covariance is a measure of how much two random variables vary together. It’s similar to variance, but where variance tells you how a single variable varies, co variance tells you how two variables vary together.

How do you calculate covariance examples?

The covariance between the two stock returns is 0.665….Using our example of ABC and XYZ above, the covariance is calculated as:

1. = [(1.1 – 1.30) x (3 – 3.74)] + [(1.7 – 1.30) x (4.2 – 3.74)] + [(2.1 – 1.30) x (4.9 – 3.74)] + …
2. = [0.148] + [0.184] + [0.928] + [0.036] + [1.364]
3. = 2.66 / (5 – 1)
4. = 0.665.

### How do you calculate covariance from correlation?

The correlation coefficient is determined by dividing the covariance by the product of the two variables’ standard deviations. Standard deviation is a measure of the dispersion of data from its average.

Which is the formula for the covariance of X and Y?

Sample Covariance Formula Cov (x,y) = Σ ((xi – x) * (yi –) / (N – 1)

#### How to calculate the covariance of a sample?

Formulas for Covariance (Population and Sample) Population Covariance Formula. Cov(X,Y)= \$$\\frac{\\sum (x_{i}-\\overline{x})(y_{i}-\\overline{y})}{N}\$$ Sample Covariance Formula. Cov(X,Y)= \$$\\frac{\\sum (x_{i}-\\overline{x})(y_{i}-\\overline{y})}{N-1}\$$

Which is an example of a positive covariance?

The outcome is positive which shows that the two stocks will move together in a positive direction or we can say that if ABC stock is booming than XYZ is also has a high return. The given table describes the rate of economic growth (xi) and the rate of return (yi) on the S&P 500.

## What do you need to know about covariance for stocks?

Key Takeaways 1 Covariance is a measure of the relationship between two asset’s returns. 2 Covariance can be used in many ways but the variables are commonly stock returns. 3 These formulas can predict performance relative to each other. More