Question

for a table of 32 nations, consider the following correlations. complete parts a through c below.

variable 1	variable 2	correlation
internet users	broadband subscribers	0.974
internet users	population	0.832
social network users	broadband subscribers	0.286
social network users	population	0.238
broadband subscribers	population	0.704

a. which pair of variables exhibits the strongest linear relationship? choose the correct answer below.
a. internet users and social network users
b. social network users and population
c. social network users and broadband subscribers
d. broadband subscribers and population
e. internet users and population
f. internet users and broadband subscribers

Explanation:

Step1: Recall correlation concept

The strength of a linear - relationship is determined by the absolute value of the correlation coefficient. The closer the absolute value of the correlation coefficient is to 1, the stronger the linear relationship.

Step2: Compare absolute values

We have the following correlation coefficients:

• Internet users and Social network users: $|0.298|$
• Internet users and Broadband subscribers: $|0.974|$
• Internet users and Population: $|0.832|$
• Social network users and Broadband subscribers: $|0.286|$
• Social network users and Population: $|0.238|$
• Broadband subscribers and Population: $|0.704|$

The largest absolute - value is $0.974$, which is the correlation between Internet users and Broadband subscribers.

Answer:

F. Internet users and Broadband subscribers