If the covariance is 1225, variance of x is 1600,variance of y is 2500 then the correlation coefficient between x and y is 0.6125.
Given the covariance is 1225, variance of x is 1600,variance of y is 2500.
We have to find the correlation coefficient between x and y.
Covariance is basically a measure of the joint variability of two random variables.
Variance is a basically a measure of dispersion, meaning it is a measure of how far a set of numbers is spread out from their average value.
The correlation coefficient is basically the specific measure that quantifies the strength of the linear relationship between two variables in a correlation analysis.
We know that the formula of correlation coefficient is as under:
r=
r=1225/
r=1225/(40*50)
r=1225/2000
r=0.6125
Hence if the covariance is 1225, variance of x is 1600,variance of y is 2500 then the correlation coefficient between x and y is 0.6125.
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