Which of the following r-values represents the strongest correlation?
a. 0.29
b. 0.50
c. 0.92
d. 0.74

C

Step-by-step explanation:

Solution:-

- Correlation defines the relationship between two variables.

- The correlation coefficient (r) defines the strength/intensity as to how strong or weak the correlation is between the variables under consideration. The sign either ( + or - ) defines the nature of relationship between variables.

+ : positive relationship. ( if one increases the other variable also increases )

- : Negative relationship. ( if one increases the other variable decreases )

- The range of the correlation coefficient (r) is:

                                         -1 < r < 1

Where, 1 : Strongest positive relationship

           -1 : Strongest negative relationship

            0 : No relationship.

- So the strongest relationship in positive domain only is given by the largest value of (r). In this case it is r = 0.92.  

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)