Question

A survey found that social networking is popular in many nations around the world. Data was collected on the level of social media networking​ (measured as the percent of individuals polled who use social networking​ sites) and the GDP per capita based on purchasing power parity​ (PPP) for 24 countries. Complete parts​ (a) through​ (c).

Country   GDP (PPP)   Social media usage (%)
1   18,082   67
2   15,829   58
3   6118   47
4   6551   44
5   9942   41
6   15,270   41
7   17,521   50
8   4656   34
9   9827   56
10   5180   22
11   18,575   69
12   19,103   66
13   13,585   60
14   12,111   48
15   15,607   45
16   5282   44
17   7503   28
18   11,530   42
19   2826   32
20   3544   26
21   1858   38
22   2058   33
23   3138   8
24   1472   12

dROPDOWN OPTIONS:

a. Compute and interpret the coefficient of correlation, r. The coefficient of correlation, r = ſ, indicates correlation. (Round to three decimal places as needed.) b. At the 0.05 level of significance, is there a significant linear relationship between GDP and social media usage? Determine the hypotheses for the test. Choose the correct answer below. B. Ho: B, 50 H:ß, > 0 O A. Ho: P20 Hi: p<0 OD. Ho: ,20 H: B, < 0 O c. Ho: Bo = 0 H: B00 O F. Ho: p =0 H:p0 E. Ho:p=0 H:p>0

NO, A PERFECT NEGATIVE, A NEGATIVE, A POSITIVE, A PERFECT POSITIVE

DROPDOWN 1 OPTION: DO NOT REJECT , REJECT

DROPDOWN 2 OPTION: INSUFFICENT, SUFFICIENT

c. What conclusions can you reach about the relationship between GDP and social media​ usage?

A.

There is a significant linear​ relationship, but the positive linear relationship is only moderate.

B.

There is not a significant linear relationship.

C.

There is a significant linear​ relationship, and the positive linear relationship is perfect.

D.

There is a significant linear​ relationship, but the negative linear relationship is only moderate.

Answer 1

18082 67 VOUAWN 2 U R 15829 6118 6551 9942 15270 17521 4656 9827 5180 18575 19103 13585 12111 15607 5282 7503 11530 2826 3544 1858 2058 3138 1472 227168 9465.333 74246944.4444 40496253.4444 11204640.4444 8493338.7778 227211.1111 33694155. 1111 64893765.4444 23129687.1111 130802.7778 183640817778 82986026.7778 92884618.7778 16971653.4444 6999552.1111 37720069.4444 17500277.7778 3850752.1111 4262848.4444 44080747.1111 35062188.4444 57871520.4444 54868587.1111 40035147.1111 63893377.7778 833868247.3333 SSX tv-71 618.77 252.02 23.77 3.52 1.27 1.27 62.02 66.02 192.52 405.02 722.27 570.02 319.52 34.52 8.27 3.52 199.52 0.02 102.52 260.02 17.02 83.27 1164.52 907.52 6018.63 SSY (x-7)(y-7) 214339.5833 101023.2083 -16318.2500 -5464.3750 -536.2500 -6530.2500 63438.3750 39075.8333 5018.1250 86242.3333 244822.2917 230099.2917 73639.0417 15543.2917 17657.2917 -7843.7500 27717.9583 -258.0833 67223.2500 95481.5000 31380.2500 675919167 215920.2500 240799.1667 1800062.0000 SXY NNSO 24 Total Mean 1011 42.13

a)

correlation coefficient r=

Sxy/(√Sxx*Syy) =

0.804

A POSITIVE

b)

OF Hosp=0 Hip#0

test stat t=

r*(√(n-2)/(1-r2))=

6.33

P value    =

0.0000

reject Ho , there is sufficient evidence,,,,,,,

c)

A.

There is a significant linear​ relationship, but the positive linear relationship is only moderate.