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?

Check the explanation

Step-by-step explanation:

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

usage (%), X

18085                       66         32706722543561193610

15833                       56         2506838893136886648

6117                          47           374176892209287499

6559                        42           43020481        1764275478

9948                        40           98962704       1600397920

15264                         41          232989696     1681625824

17522                        50          307020484     2500876100

4661                          34            21724921        1156158474

9833                         54            96687889    2916530982

5186                         22           26894596     484         114092

18579                         69            345179241    47611281951

19105                         67           365001025   44891280035

13580                         59            184416400   3481801220

12115                           49            146773225   2401593635

15614                          44            243796996   1936687016

5289                           45            27973521   2025238005

7508                           29            56370064    841217732

11521                            43            132733441    1849495403

2824                           32            7974976     102490368

3542                           27            12545764      72995634

1855                           36            3441025        129666780

2056                           35            4227136        122571960

3142                              7            9872164           4921994

1473                              13           2169729          16919149

Total2272111007         2984944281  4807711307509

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

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

51

step-by-step explanation:

73-22=51 the   mass number minus the amount of protons gives you the amount of neutrons