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.  

according to this law, when unemployment goes up by 1%, gdp drops by 2%. in the question, unemployment rate goes from 2% to 5%, meaning unemployment goes up by 3%, so the gdp drops by 6%. thus the effect is a drop in gdp by 6%.

step-by-step explanation: