Consider the following statements

1. If 10 is added to each entry on a lists, then the average increases by 10.

2. If 10 is added to each entry on a list, then the standard deviation increases by 10.

3. If each entry on a list is doubled then the average doubles.

Which of the above statements are correct?

The variance of 25 observations is 4. If 2 is added to each observation, then the new variance of the resulting observations is

If the regression coefficient of Y on X is $$-$$6 and the correlation coefficient between X and Y is $$ - {1 \over 2}$$, then the regression coefficient of X on Y would be

The set of bivariate observations (x₁, y₁), (x₂, y₂), ....... (x_n, y_n) are such that all the values are distinct and all the observations fall on a straight line with non-zero slope. Then, the possible values of the correlation coefficient between x and y are