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Compute the correlation coefficient between the two

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Reference no: EM13583688

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 data provided from theUS Statewide Crime data set, construct a scatterplot using Excel or any software (SPSS or Minitab) between the variables "murder rate" and "poverty". Provide an appropriate title for the chart as well as labels for both axes.

a. There seems to be a problem caused by the presence of an outlier. Identify the outlier and delete it (simply erase its value, do not replace with zero).

  • Show the new scatterplot.
  • Describethe pattern that emerges. What might this relationship imply? Be careful not to infer cause and effect.

b. Compute the correlation coefficient between the two variables and interpret this correlation. Refer to both the strength and direction of the correlation in your interpretation. Also interpret the correlation in terms of r-squared (coefficient of determination).

c. Conduct a regression to predict murder from poverty (when the observation for DC is removed from the data set) and interpret the results.

d. What is the predicted value for a state with a poverty rate of 13.4?

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

Reference no: EM13583688

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