Math Problem Statement
If Cov(X,Y) = 4.4, then calculate Cov(1X,6Y)
Solution
To calculate the covariance , we can use the following property of covariance:
Where and are constants.
In this case, and . Thus,
So, .
Would you like more details on covariance or any other related topic?
Here are some related questions:
- What are other properties of covariance?
- How does covariance relate to correlation?
- What is the interpretation of positive and negative covariance?
- How can covariance be used in portfolio risk management?
- How does covariance apply to multiple variables?
Tip: Covariance measures the direction of a linear relationship between two variables but doesn't standardize their scales—correlation helps with that.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Covariance
Formulas
Covariance formula: \( \text{Cov}(X, Y) = \mathbb{E}[(X - \mathbb{E}[X])(Y - \mathbb{E}[Y])] \)
Theorems
-
Suitable Grade Level
Advanced Mathematics