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The covariance between two variables is
- a)Strictly positive
- b)Strictly negative
- c)Always 0
- d)Either positive or negative or zero
Correct answer is option 'D'. Can you explain this answer?
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The covariance between two variables isa)Strictly positiveb)Strictly n...
Covariance is a measure of how two variables change together. It indicates the direction of the linear relationship between two variables. The covariance between two variables can be positive, negative, or zero.
Positive Covariance
When the two variables move in the same direction, the covariance between them is positive. This means that when one variable increases, the other variable also increases. When one variable decreases, the other variable also decreases. A positive covariance indicates a positive linear relationship between the two variables.
Negative Covariance
When the two variables move in the opposite direction, the covariance between them is negative. This means that when one variable increases, the other variable decreases. When one variable decreases, the other variable increases. A negative covariance indicates a negative linear relationship between the two variables.
Zero Covariance
When the two variables are independent of each other, the covariance between them is zero. This means that there is no linear relationship between the two variables.
Conclusion
In conclusion, the covariance between two variables can be either positive or negative or zero. The sign of the covariance indicates the direction of the linear relationship between the two variables. A positive covariance indicates a positive linear relationship, a negative covariance indicates a negative linear relationship, and a zero covariance indicates no linear relationship.
Positive Covariance
When the two variables move in the same direction, the covariance between them is positive. This means that when one variable increases, the other variable also increases. When one variable decreases, the other variable also decreases. A positive covariance indicates a positive linear relationship between the two variables.
Negative Covariance
When the two variables move in the opposite direction, the covariance between them is negative. This means that when one variable increases, the other variable decreases. When one variable decreases, the other variable increases. A negative covariance indicates a negative linear relationship between the two variables.
Zero Covariance
When the two variables are independent of each other, the covariance between them is zero. This means that there is no linear relationship between the two variables.
Conclusion
In conclusion, the covariance between two variables can be either positive or negative or zero. The sign of the covariance indicates the direction of the linear relationship between the two variables. A positive covariance indicates a positive linear relationship, a negative covariance indicates a negative linear relationship, and a zero covariance indicates no linear relationship.
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The covariance between two variables isa)Strictly positiveb)Strictly n...
A) strictly positive
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The covariance between two variables isa)Strictly positiveb)Strictly negativec)Always 0d)Either positive or negative or zeroCorrect answer is option 'D'. Can you explain this answer?
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