Value of the r-squared for the regression model


Question:

C1-T INTERNET GDP CO2 CELLULAR FERTILITY LITERACY
Algeria 0.65 6.09 3 0.3 2.8 58.3
Argentina 10.08 11.32 3.8 19.3 2.4 96.9
Australia 37.14 25.37 18.2 57.4 1.7 100
Austria 38.7 26.73 7.6 81.7 1.3 100
Belgium 31.04 25.52 10.2 74.7 1.7 100
Brazil 4.66 7.36 1.8 16.7 2.2 87.2
Canada 46.66 27.13 14.4 36.2 1.5 100
Chile 20.14 9.19 4.2 34.2 2.4 95.7
China 2.57 4.02 2.3 11 1.8 78.7
Denmark 42.95 29 9.3 74 1.8 100
Egypt 0.93 3.52 2 4.3 3.3 44.8
Finland 43.03 24.43 11.3 80.4 1.7 100
France 26.38 23.99 6.1 60.5 1.9 100
Germany 37.36 25.35 9.7 68.2 1.4 100
Greece 13.21 17.44 8.2 75.1 1.3 96.1
India 0.68 2.84 1.1 0.6 3 46.4
Iran 1.56 6 4.8 3.2 2.3 70.2
Ireland 23.31 32.41 10.8 77.4 1.9 100
Israel 27.66 19.79 10 90.7 2.7 93.1
Japan 38.42 25.13 9.1 58.8 1.3 100
Malaysia 27.31 8.75 5.4 31.4 2.9 84
Mexico 3.62 8.43 3.9 21.7 2.5 89.5
Netherlands 49.05 27.19 8.5 76.7 1.7 100
New Zealand 46.12 19.16 8.1 59.9 2 100
Nigeria 0.1 0.85 0.3 0.3 5.4 57.7
Norway 46.38 29.62 8.7 81.5 1.8 100
Pakistan 0.34 1.89 0.7 0.6 5.1 28.8
Philippines 2.56 3.84 1 15 3.2 95
Russia 2.93 7.1 9.8 5.3 1.1 99.4
Saudi Arabia 1.34 13.33 11.7 11.3 4.5 68.2
South Africa 6.49 11.29 7.9 24.2 2.6 85
Spain 18.27 20.15 6.8 73.4 1.2 96.9
Sweden 51.63 24.18 5.3 79 1.6 100
Switzerland 30.7 28.1 5.7 72.8 1.4 100
Turkey 6.04 5.89 3.1 29.5 2.4 77.2
United Kingdom 32.96 24.16 9.2 77 1.6 100
United States 50.15 34.32 19.7 45.1 2.1 100
Vietnam 1.24 2.07 0.6 1.5 2.3 90.9
Yemen 0.09 0.79 1.1 0.8 7 26.9

Using the data provided from the Human Development Report of 2003, conduct a regression to predict internet use from GDP. Show the results of the regression.

a. What is the value of the intercept a?

b. What is the value of the slope b?

c. What is the predicted Internet use for a country with a GDP of 32.4 thousand dollars?

d. Interpret the value of the R-squared for the regression model.

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Basic Statistics: Value of the r-squared for the regression model
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