Question

A survey by the Pew Research Center found that social networking is popular in many nations around the world. The file here contains 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 each of 25 selected countries. At the 0.001 level of significance, is there a significant linear relationship between GDP and social media usage?

Answer 1

Check the explanation

Explanation:

Social Median GDP (PPP), Y X^2 Y^2 XY

usage (%), X

18085 66 327067225 4356 1193610

15833 56 250683889 3136 886648

6117 47 37417689 2209 287499

6559 42 43020481 1764 275478

9948 40 98962704 1600 397920

15264 41 232989696 1681 625824

17522 50 307020484 2500 876100

4661 34 21724921 1156 158474

9833 54 96687889 2916 530982

5186 22 26894596 484 114092

18579 69 345179241 4761 1281951

19105 67 365001025 4489 1280035

13580 59 184416400 3481 801220

12115 49 146773225 2401 593635

15614 44 243796996 1936 687016

5289 45 27973521 2025 238005

7508 29 56370064 841 217732

11521 43 132733441 1849 495403

2824 32 7974976 1024 90368

3542 27 12545764 729 95634

1855 36 3441025 1296 66780

2056 35 4227136 1225 71960

3142 7 9872164 49 21994

1473 13 2169729 169 19149

Total 227211 1007 2984944281 48077 11307509

Sample size: n=24

Now,

Syy= 5824.95833

833909342.6

ry 1774114.125 ry

The coefficient of correlation is :

0.805

The coefficient of correlation indicates a strong and positive correlation between the variables.

(b)

For hypotheses correct option is (a).

The test statistics is

= 6.36

Degree of freedom: df=n-2= 22

The p-value is: 0.000

The critical value of t is to/2 = 2.07

Since p-value is less than 0.05 so we reject the null hypothesis. There is significant evidence ....