The accompanying data table shows the level of social media networking (measured
ID: 3060044 • Letter: T
Question
The accompanying data table shows the level of social media networking (measured as the percent of individuals polled who use social networking sites) and the GDP at purchasing power parity (PPP) per capita for each of 24 selected countries.
a.a.
Compute the covariance.
b.b.
Compute the coefficient of correlation.
c.c.
Based on parts (a) and (b), what conclusions can be reached about the relationship between the GDP and social media use?
GDP (PPP) Social Media Usage (%)
7,074 86
17,812 87
4,837 87
10,155 85
6,136 84
6,639 83
13,832 82
3,985 82
16,048 76
4,435 75
16,734 78
19,997 73
17,958 75
3,688 74
19,427 73
7,968 71
3,869 71
13,403 74
17,046 67
6,309 66
6,756 72
6,505 67
13,086 62
11,138 46
The covariance is
(Round to the nearest integer as needed.)
b.r =
(Round to three decimal places as needed.)
c. Choose the correct answer below.
A.
There is a weak positive relationship between a country's GDP and its social media usage.
B.
There is a strong positive relationship between a country's GDP and its social media usage.
C.
There is no clear relationship between a country's GDP and its social media usage.
D.
There is a strong negative relationship between a country's GDP and its social media usage.
a.a.
Compute the covariance.
b.b.
Compute the coefficient of correlation.
c.c.
Based on parts (a) and (b), what conclusions can be reached about the relationship between the GDP and social media use?
Explanation / Answer
The statistical software output for this problem is:
Covariance between GDP and Social Media Usage:
-4736.2681
Correlation between GDP and Social Media Usage is:
-0.090126505
Hence,
b = -4736
r = -0.090
There is a strong negative relationship between a country's GDP and its social media usage. Option D is correct.
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