Parameter r is the correlation coefficient of variable x and

Parameter r is the correlation coefficient of variable x and y, -1 lessthanorequalto r lessthanorequalto +1, here, r = 0.89 which tell us how tight are x and y correlated together, if | r | Tilde Tilde 1, x and y are tightly correlated. Then we can use this RL. If |r| is smaller (r 0. RL is increasing as x increasing. If r

Solution

The answers are given below as per the sequence of the diagrams:

(5)        (4)       (2)        (3)       (1)

Justification:

The first Scatter plot depicts no relationship as the points are scattered and does not provide any visual for linear relationship. Therefore correct option is (5) r 0 (i.e. the correlation coefficient r is approximately zero or no linear relationship)

The second Scatter plot depicts a weak positive linear relationship. Therefore correct option is (4) r > 0 and |r| << 1 (i.e. the correlation coefficient r is positive which indicates positive linear relationship & |r| << 1 indicates the relationship is weak)

The third Scatter plot depicts a strong positive linear relationship. Therefore correct option is (2) r > 0 and |r| 1 (i.e. the correlation coefficient r is positive which indicates positive linear relationship & |r| 1 indicates the relationship is strong, i.e. X and Y are tightly correlated)

The 4^th Scatter plot depicts a weak negative linear relationship. Therefore correct option is (3) r < 0 and |r| << 1 (i.e. the correlation coefficient r is negative which indicates negative linear relationship & |r| << 1 indicates the relationship is weak)

The fifth Scatter plot depicts a strong negative linear relationship. Therefore correct option is (1) r < 0 and |r| 1 (i.e. the correlation coefficient r is positive which indicates positive linear relationship & |r| 1 indicates the relationship is strong, i.e. X and Y are tightly correlated)