Question

For a given paired sample data set that consists of "X" data and "Y" data, the covariance is 1000. The sample standard deviation of the "X" data is 75, and the sample standard deviation of the "Y" data is 100. The correlation coefficient (i.e., "r") is approximately:

Answer 1

Explanation:

Given that for a given paired sample data set that consists of "X" data and "Y" data, the covariance is 1000.

We know that correlation coefficient between x and y is

`(cov(x,y))/(s_x*s_y)`

Given that covariance =1000

and sample std dev of x = 75 and y = 100

Hence
`r_(xy) =(1000)/(25*100) \\\\=0.40`

Hence correlation coefficient is positive moderately strong with value = 0.40