In this question, the datasets contain country-level data on total fertility rates and girls' educational levels, in both developing and developed countries.
In the answer, examine the relationship between a country's total fertility rate (TOTRATE, the outcome in these analyses) and the aggregate educational level of girls in the country as measured by their enrollment in primary (elementary) school (FPRIMENR, the predictor in these analyses). In the words of the original researchers, the research is intended to investigate whether the education of girls can be regarded as an "effective contraceptive." TOTRATE and FPRIMENR are both continuous variables.
In the evidentiary material, I have provided descriptive information on each variable, a bivariate plot of the relationship being investigated, regression analysis and accompanying residual analyses. In the answers, you will examine information on the developing (Non-OECD) countries first, in some detail, and then you will comment briefly on how the situation in developed (OECD) countries differs.
a) In developing (Non-OECD) countries, is total countrywide fertility rate related to the enrollment of females in elementary school, in the population? What is the nature of the relationship? (cite the proper table and/or graph)
b) Within the overall relationship you have detected in developing (Non-OECD) countries, are there "exceptions to the rule" - i.e., are there countries whose total fertility rates do not meet your expectations, given the educational level of females in the country? Identify two interesting "exceptions to the rule," justify your choice of these two particular examples, and explain in what way they are extraordinary. (cite the proper table and/or graph)
c) Briefly glance at the corresponding codebook and evidentiary material available for developed (OECD) countries. Notice that the existence and nature of the relationship between total fertility rate and girls' educational level is completely different in developed countries. Briefly state how it is different and offer a statistical explanation for why you think that this might be the case . (cite the proper table and/or graph)
This solution is comprised of a detailed explanation of various aspects of Regression Analysis as it pertains to the given problem. Supplemented with EXCEL output and more than 300 words of text, this step-by-step explanation of this complicated topic provides students with a clear perspective of Regression Analysis.