a) For United States, provide data for the variables below over the years 1993 – 2007: (i) Net migration rate (per 1,000 population) (ii) Total fertility rate (live births per woman) (iii)Unemployment, general level (Thousands) (iv) Wages (v) Life expectancy at birth for both sexes combined (years) Data can be obtained from the UN database http://data.un.org/Explorer.aspx Using R-Studio, estimate a regression equation to determine the effect of unemployment, general level, wages and life expectancy at birth for both sexes on the net migration rate. (All codes and regression output should be provided). (i) Write down the regression equation. (ii) Interpret the coefficients and determine which of the individual coefficients in the regression model are statistically significant. In responding, construct and test any appropriate hypothesis. (iii) Interpret the coefficient of determination. (iv) Using the 10% level of significance, determine and discuss whether the overall regression equation is statistically significant. In responding, construct and test any appropriate hypothesis. (v) Determine and interpret the confidence interval for the independent variable(s). (b) Using R-Studio redo the regression analysis with the total fertility rate as an additional independent variable. (All codes and regression output should be provided). (i) Write down the regression equation. (ii) Use the 5% level of significance, determine and discuss whether the total fertility rate has a significant impact on the net migration rate in your assigned country. In responding, construct and test any appropriate hypothesis. (iii)Use the 5% level of significance, determine and discuss whether the overall regression equation is statistically significant. In responding, construct and test any appropriate hypothesis. (c) Using R-Studio, carry out relevant tests to determine if the both models satisfies the following assumptions of OLS: (i) Normality of residuals. (ii) Homogeneity of residuals variance. (iii) Multicollinearity. Provide answer for c i), ii) and iii
a) For United States, provide data for the variables below over the years 1993 – 2007:
(i) Net migration rate (per 1,000 population)
(ii) Total fertility rate (live births per woman)
(iii)Unemployment, general level (Thousands)
(iv) Wages
(v) Life expectancy at birth for both sexes combined (years)
Data can be obtained from the UN database http://data.un.org/Explorer.aspx
Using R-Studio, estimate a regression equation to determine the effect of unemployment, general level, wages and life expectancy at birth for both sexes on the net migration rate. (All codes and regression output should be provided).
(i) Write down the regression equation.
(ii) Interpret the coefficients and determine which of the individual coefficients in the
regression model are statistically significant. In responding, construct and test any
appropriate hypothesis.
(iii) Interpret the coefficient of determination.
(iv) Using the 10% level of significance, determine and discuss whether the overall
regression equation is statistically significant. In responding, construct and test
any appropriate hypothesis.
(v) Determine and interpret the confidence interval for the independent variable(s).
(b) Using R-Studio redo the
independent variable. (All codes and regression output should be provided).
(i) Write down the regression equation.
(ii) Use the 5% level of significance, determine and discuss whether the total fertility
rate has a significant impact on the net migration rate in your assigned country. In
responding, construct and test any appropriate hypothesis.
(iii)Use the 5% level of significance, determine and discuss whether the overall
regression equation is statistically significant. In responding, construct and test
any appropriate hypothesis.
(c) Using R-Studio, carry out relevant tests to determine if the both models satisfies the
following assumptions of OLS:
(i) Normality of residuals.
(ii) Homogeneity of residuals variance.
(iii) Multicollinearity.
Provide answer for c i), ii) and iii
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