Compute the rank correlation coefficient from the following data: $\displaystyle n = 10, \Sigma d^2 = 5$

The coefficient of rank correlation in a beauty contest of 10 candidates by two judges A & B was found to be 0.5. If it was later discovered that the difference in rank of one candidate was wrongly taken as 3 instead of 7. The corrected coefficient of rank correlation is?

The coefficient of correlation between x and y is 0.6. If u & v variables are defined as $\displaystyle 2u+x-3=0$ and $\displaystyle 3v+y-2=0$ then the coefficient of correlation between u & v is?

If the plotted points in a scatter diagram are evenly distributed, then the correlation is

Speed of an automobile and the distance required to stop the car after applying brakes correlation is

A relationship $\displaystyle r^2 = 1 - \frac{500}{300}$ is not possible

If the plotted points in a scatter diagram lie from upper left to lower right, then correlation is