Covariance can vary between -∞ and +∞ whereas Correlation ranges between -1 and +1Review LaterTrueFalse
Question
Covariance can vary between -∞ and +∞ whereas Correlation ranges between -1 and +1
Review Later
True
False
Solution
The statement is true.
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Covariance measures the degree to which two variables change together. It can take any value from negative infinity to positive infinity (i.e., it has no upper or lower bounds).
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Correlation, on the other hand, is a standardized measure of the relationship between two variables. It provides a value that ranges from -1 to +1. A correlation of -1 indicates a perfect negative relationship, 1 indicates a perfect positive relationship, and 0 indicates no relationship.
Thus, the assertion in the statement correctly describes the ranges of covariance and correlation.
Similar Questions
Covariance can vary between -∞ and +∞ whereas Correlation ranges between -1 and +1Review LaterTrueFalse
What is the relationship between the covariance and the correlation coefficient
The correlation coefficient ranges between:a.[-1,1]b.[0,1]c.(-∞ , ∞)d.(-1,0)Clear my choice
The covariance between two variables is(a) Strictly positive(b) Strictly negative(c) Always 0(d) Either positive or negative or zero
Correlation CoefficientThe value of the correlation coefficient will always be:Greater than 0Greater than 1Between 0 and 1Between -1 and 1
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