Dependent variable: GDP Growth Developing Countries R^2 = 19.64% s = 1.341 Varia

Question

Dependent variable: GDP Growth Developing Countries R^2 = 19.64% s = 1.341 Variable Coefficient Intercept 3.54 GDP Growth Developed Countries 0.476 The accompanying scatterplot shows the growth (in % of Gross Domestic Product) of the developing countries vs. the growth of developed countries for a particular region. Each point represents one of the years from 1969 to 2010. The output of a regression analysis follows the scatterplot. Complete parts a through c below. Click the icon to view the scatterplot and the output of the regression analysis. a) Check the assumptions and conditions for the linear model. What assumptions and conditions are met? A. All of the assumptions and conditions are met. The variables are quantitative (with units % of GDP), the plots is reasonably straight, there are no outliers, and the spread is roughly constant (although the spread is large). B. All of the assumptions and conditions are met with the exception of the Quantitative Variables Condition; the data are categorical. C. All of the assumptions and conditions are met with the exception of the Linearity Condition; the points do not follow a straight line pattern (as evidenced by the R^2-value). D. All of the assumptions and conditions are met with the exception of the condition that there are no outliers (there are a total of three outliers in the scatterplot). b) Explain the meaning of R^2 in this context. A. About 20% of the variation in the growth rates of developing countries is caused by the growth rates of developed countries. B. About 20% of the variation in the growth rates of developing countries is accounted for by the growth rates of developed countries. C. About 20% of the growth rates of developing countries are accounted for by the rates of developed countries. D. About 20% of the variation in the growth rates of developed countries is caused by the growth rates of developing countries. c) What are the cases in this model? A. Years 1969-2010 B. Annual GDP growth rates of developing countries B. Annual GDP growth rates of developed countries D. Annual GDP growth rates of all countries

Explanation / Answer

(a) Explanation: All of the assumptions and conditions are met. The variable are quantitative, the plot is reasonable straight. There are no outliers in the data and the spread is roughly constant.

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(b) Explanation:About 20% of the variation in the growth rates of developing countries (Y) is accounted for by the growth rates of developed countries(X).

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(c) Explanation:The independent variable is influetial case to carry on the regression analysis. It should be "Annual GDP growth rates of developed countries".

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