Investigation Results – Using the given data, investigate the possible relationships between Life Expectancy as the response variable (y) and each of the three explanatory variables (x). For each x variable, you will complete the following steps. (Note: you will do parts a – d three times!)  Construct a scatter diagram displaying the relationship between x and y. You can use graph paper and draw the diagram by hand, use your calculator and take a picture of the screen, or use the online site: https://www.desmos.com/, which will allow you to print or save your diagram.  Calculate and state the sample correlation coefficient r. Describe the type of correlation, if any, and interpret the correlation in the context o-f the data

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  1. Investigation Results – Using the given data, investigate the possible relationships between Life Expectancy as the response variable (y) and each of the three explanatory variables (x). For each x variable, you will complete the following steps. (Note: you will do parts a – d three times!) 

    1. Construct a scatter diagram displaying the relationship between x and y.
      You can use graph paper and draw the diagram by hand, use your calculator and take a picture of the screen, or use the online site: https://www.desmos.com/, which will allow you to print or save your diagram. 
    2. Calculate and state the sample correlation coefficient r.
    3. Describe the type of correlation, if any, and interpret the correlation in the context o-f the data.
    4. Determine if the correlation is significant. Use α = 0.05 and show all steps of this process.

GDP per
Life Expectancy
(y)
82.7
% Spending Corruptions
vs. GDP (x)
Country
Score (x)
сapita (x)
53825
Australia
9.1
21
Austria
81.7
50023
10.3
24
Belgium
81.6
45176
10
23
Canada
81.9
46213
10.4
17
Chile
80
23667
8.1
30
Czech Republic
79
23214
7.1
44
France
82.7
41761
11.5
30
Germany
80.9
46564
11.3
19
Hungary
76.1
28328
7.2
49
Iceland
82.9
67037
8.5
21
Israel
82.8
42823
7.4
39
Japan
84.2
40847
10.7
25
Netherlands
81.8
52368
10.1
16
Norway
82.8
77975
10.4
12
Poland
77.6
29291
6.7
37
Portugal
Slovak Republic
81.3
23031
36
77.3
19548
7
49
Slovenia
81.4
26170
8.
40
Sweden
82.6
51242
10.9
11
Switzerland
83.2
83717
12.3
14
Turkey
77.4
28242
4.2
58
United Kingdom
82.3
41030
9.6
19
Transcribed Image Text:GDP per Life Expectancy (y) 82.7 % Spending Corruptions vs. GDP (x) Country Score (x) сapita (x) 53825 Australia 9.1 21 Austria 81.7 50023 10.3 24 Belgium 81.6 45176 10 23 Canada 81.9 46213 10.4 17 Chile 80 23667 8.1 30 Czech Republic 79 23214 7.1 44 France 82.7 41761 11.5 30 Germany 80.9 46564 11.3 19 Hungary 76.1 28328 7.2 49 Iceland 82.9 67037 8.5 21 Israel 82.8 42823 7.4 39 Japan 84.2 40847 10.7 25 Netherlands 81.8 52368 10.1 16 Norway 82.8 77975 10.4 12 Poland 77.6 29291 6.7 37 Portugal Slovak Republic 81.3 23031 36 77.3 19548 7 49 Slovenia 81.4 26170 8. 40 Sweden 82.6 51242 10.9 11 Switzerland 83.2 83717 12.3 14 Turkey 77.4 28242 4.2 58 United Kingdom 82.3 41030 9.6 19
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