PYQs Based Test - 20 : Correlation and Regression Analysis

Find the coefficient of correlation if given, cov(x, y) = 420, ${\sigma }_x^2=484$ , and ${\sigma }_y^2=441$

If a constant 2 is subtracted from each of the value of x and y the regression coefficient is

For a bivariate data set on (x, y), if the means, standard deviations and correlation coefficient are

x̅ = 1.0, y̅ = 2.0, s ₓ= 3.0, s ${}_y$ = 9.0, r = 0.8

Then the regression line of y on x is:

The coefficient of correlation between two variables X and Y is 0.48. The covariance is 36. The variance of X is 16. The standard deviation of Y is:

If the regression line of Y on X is Y = 30 - 0.9X and the standard deviations are S ₓ= 2 and S ${}_y$ = 9, then the value of the correlation coefficient r ${}_{xy}$ is :