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I'd be inclined to say no, Im looking for the answer myself. But if you have Cov(A-B,A+B)=Cov(A,A)-Cov(B,B)-Cov(B,A)+Cov(A,B), then the last two will cancel but if Var(B)>Var(A) then we would get a negative covariance. [Cov(A,A)=Var(A)] So it looks possible because as far as I know there is no squaring of the coefficeients when you bring them out of the covariance so a negative answer is entirely possible.

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What is the principle of covariance?

The principle of covariance refers to the idea that the behavior of one variable is related to the behavior of another variable, particularly in statistical contexts. In mathematics and statistics, covariance measures how two random variables change together; a positive covariance indicates that as one variable increases, the other tends to increase as well, while a negative covariance suggests an inverse relationship. This principle is foundational in various fields, including finance, economics, and machine learning, as it helps in understanding relationships within datasets.


What is a statistical measure of the extent to which two factors vary together?

A statistical measure of the extent to which two factors vary together is called covariance. It indicates the direction of the relationship between the variables: a positive covariance means that as one variable increases, the other tends to increase as well, while a negative covariance indicates that as one variable increases, the other tends to decrease. Covariance, however, does not provide information about the strength of the relationship, which is where correlation comes in, as it standardizes the measure.


How do you calculate a variance covariance matrix explain with an example?

variance - covariance - how to calculate and its uses


What are the merits of covariance method?

The covariance method is valuable for understanding the relationship between two variables, particularly in finance and statistics, as it helps evaluate how changes in one variable may affect another. It provides a measure of the degree to which the variables move together, indicating whether they tend to increase or decrease simultaneously. This method is useful for portfolio diversification, as it helps identify assets with low or negative covariance, thus reducing risk. Additionally, covariance is foundational for more advanced analytical techniques, such as correlation analysis and regression modeling.


How do you find covariance of two variables?

The covariance between two variables is simply the average product of the values of two variables that have been expressed as deviations from their respective means. ------------------------------------------------------------------------------------------------- A worked example may be referenced at: http://math.info/Statistics/Covariance

Related Questions

What is the principle of covariance?

The principle of covariance refers to the idea that the behavior of one variable is related to the behavior of another variable, particularly in statistical contexts. In mathematics and statistics, covariance measures how two random variables change together; a positive covariance indicates that as one variable increases, the other tends to increase as well, while a negative covariance suggests an inverse relationship. This principle is foundational in various fields, including finance, economics, and machine learning, as it helps in understanding relationships within datasets.


What is a statistical measure of the extent to which two factors vary together?

A statistical measure of the extent to which two factors vary together is called covariance. It indicates the direction of the relationship between the variables: a positive covariance means that as one variable increases, the other tends to increase as well, while a negative covariance indicates that as one variable increases, the other tends to decrease. Covariance, however, does not provide information about the strength of the relationship, which is where correlation comes in, as it standardizes the measure.


How do you calculate a variance covariance matrix explain with an example?

variance - covariance - how to calculate and its uses


What are the release dates for Covariance - 2011?

Covariance - 2011 was released on: USA: 20 September 2011


What are the merits of covariance method?

The covariance method is valuable for understanding the relationship between two variables, particularly in finance and statistics, as it helps evaluate how changes in one variable may affect another. It provides a measure of the degree to which the variables move together, indicating whether they tend to increase or decrease simultaneously. This method is useful for portfolio diversification, as it helps identify assets with low or negative covariance, thus reducing risk. Additionally, covariance is foundational for more advanced analytical techniques, such as correlation analysis and regression modeling.


Distinguish between analysis of variance and analysis of covariance?

) Distinguish clearly between analysis of variance and analysis of covariance.


How many covariance you have if you have 1700 stocks?

[N*(N-1)]/2 N=1700 (1700*1699)/2 = 1,444,150 Covariance


What is degrees of freedom of covariance?

Degrees of freedom in the context of covariance typically refer to the number of independent values that can vary in the calculation of the covariance between two variables. When calculating sample covariance, the degrees of freedom are often adjusted by subtracting one from the sample size (n-1) to account for the estimation of the mean values from the same data set. This adjustment helps provide a more accurate estimate of the population covariance. Therefore, the degrees of freedom for covariance in a sample of size n is generally n-2, as both variables' means are estimated from the data.


How do you find covariance of two variables?

The covariance between two variables is simply the average product of the values of two variables that have been expressed as deviations from their respective means. ------------------------------------------------------------------------------------------------- A worked example may be referenced at: http://math.info/Statistics/Covariance


What is the meaning of analysis of covariance?

A mix of linear regression and analysis of variance. analysis of covariance is responsible for intergroup variance when analysis of variance is performed.


What is difference between covariance and variance?

Covariance: An Overview. Variance refers to the spread of a data set around its mean value, while a covariance refers to the measure of the directional relationship between two random variables.


What actors and actresses appeared in Covariance - 2011?

The cast of Covariance - 2011 includes: David Razowsky as Russell Gains Dawn Westlake as Genevieve Pace