Question

For a bivariate random variable (x, y ), if the covariance is 1225, the variance of x is 1600, and the variance of y is 2500. Find the correlation coefficient between x and y.

Answer 1

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=$covariance (x,y)/\sqrt{variance(x)}*\sqrt{variance (y)}$

r=1225/$\sqrt{1600}*\sqrt{2500}$

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.

Learn more about correlation coefficient at brainly.com/question/4219149

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