1. A study was conducted to better understand a demographic transition being observed in Switzerland during the late 1900's. The transition was characterized by a drop in fertility from the high level typical of underdeveloped countries, and the study was undertaken to explore the association between fertility and various socioeconomic indicators. The data collected in the study are for 47 French-speaking 'provinces' in Switzerland and are in the excel file called SWISS located in the Data folder of A2L Contents. The data file contains the following variables: Province (name of province in Switzerland), Fertility (total births per 1,000 women of reproductive age), Agriculture (% of males involved in agriculture as an occupation), Examination (% drafters receiving highest mark on army examination), Education (% education beyond primary school for draftees), Catholic (% Catholic as opposed to Protestant), and Infant.Mortality (live births who live less than 1 year). Use these data to answer the questions below.

a- Create an appropriate plot to show the relationship between fertility and education. Comment on the relationship between the two variables. [2 Marks]

b - You run a simple linear regression in Minitab to further assess the relationship between fertility and education. Provide the regression equation that expresses the relationship between these two variables and provide the interpretation from one measure in the Minitab output that indicates the utility (goodness) of the regression equation. Include the Minitab output to support your work.

c - What isthe Pearson's Correlation Coefficient expressing the relationship between fertility and education? Provide support for the correlation coefficient. [1 Mark]

d - Calculate the error for the regression model you obtained in question b. for an education level equal to 20. Show your calculation. [1 Mark]

e - You decide to also explore predictors of infant mortality, and choose to focus on fertility as a possible predictor. Provide the regression equation that expresses the relationship between these two variables and the interpretation from one measure in the Minitab output that indicates the utility (goodness) of the regression equation. Include the Minitab output to support your work. [2 Marks]

f - How do you interpret the slope in the regression equation you obtained in question e.? [1 Mark]