In: Statistics and Probability
Question 1: Below is a dataset for a sample of 33 countries with indicators of Obesity Prevalence and GDP Per Capita for each country. How much variance in Obesity Prevalence is explained by GDP Per Capita? (Question pertains to Coefficient of Determination)
Country |
Obesity prevalence (% of adults are obese) |
GDP per capita (international-$) |
Qatar |
33.90 |
118,207 |
Luxembourg |
24.20 |
94,921 |
Singapore |
6.60 |
82,622 |
Brunei |
14.70 |
71,789 |
Kuwait |
37.00 |
68,862 |
United Arab Emirates |
29.90 |
67,706 |
Norway |
25.00 |
64,160 |
Ireland |
26.90 |
63,227 |
Switzerland |
21.20 |
57,422 |
United States |
37.30 |
53,399 |
Saudi Arabia |
35.00 |
50,423 |
Netherlands |
23.10 |
47,270 |
Sweden |
22.10 |
46,568 |
Denmark |
21.30 |
45,991 |
Iceland |
23.10 |
45,631 |
Australia |
30.40 |
44,493 |
Austria |
21.90 |
44,464 |
Germany |
25.70 |
44,432 |
Bahrain |
28.70 |
43,643 |
Canada |
31.30 |
43,238 |
Belgium |
24.50 |
42,084 |
Oman |
22.90 |
39,884 |
Finland |
24.90 |
39,659 |
United Kingdom |
29.50 |
39,309 |
South Korea |
4.90 |
35,020 |
Italy |
22.90 |
34,655 |
Spain |
27.10 |
33,320 |
Israel |
26.70 |
32,688 |
Czech Republic |
28.50 |
31,339 |
Cyprus |
22.60 |
31,331 |
Slovenia |
22.50 |
29,930 |
Trinidad and Tobago |
19.70 |
29,541 |
Slovakia |
22.40 |
29,212 |
Question 2. Below is a crosstab table for the number of smokers among males and females in a sample of 100 people. Is there a statistically significant association between Gender and Smoking? (Use Chi-Square).
Male |
Female |
Total |
|
Smoking |
22 |
18 |
40 |
Not smoking |
26 |
34 |
60 |
Totals |
48 |
52 |
100 |
1) Answer: The value of R square is 0.0121, it indicates that 1.21% variance in Obesity Prevalence is explained by GDP Per Capita.
2) Answer