ject Assignment Course Hero The First Task of the Project: In few complete sentences, state the goal of the project, keeping in mind interdisciplinary audience (use your instructor's explanations, your own understanding, the first paragraph of this document and the paragraph above to help organize your thoughts) Problem (Health and Well-Being, Pregnancy and Birth Outcomes in Canada) 1 Canadian Vital Statistics provides the following data on pregnancy outcomes (live birth, in particular) for women 40 years and over residing in Canada. Suppose you have researched it and found the following data: Annual, t 1974 3,737 1975 3,342 Live births (number of events) for females 40 years and over residing in Canada, N 1976 3,001 1977 2,462 1978 2,416 1979 2,255 1980 2,123 1981 2,279 1982 2,305 1983 2,262 1984 2,331 1985 2,472 1986 2,682 1987 3,038 1988 3,453 1989 3,699 1990 4,004 Project Assignment Course Hero MAT200 Inquiry and Problem Solving Competency/Digital Communication Project for eP Depositing, Revised in Fall 2015 1991 4,262 1992 4,647 1993 5,000 1994 5,415 1995 5,822 1996 6,267 1997 6,598 1998. 6,844 1999 7,374 2000 7,924 2001 8,347 2002 8,647 2003 9,214 2004 9,802 2005 10,146 Give complete answers to each of the following questions: (a) Does the relation defined by the set of ordered pairs (t, N) in the table represent a function? Why or why not? Use your knowledge of the subject matter to explain and support your conclusion. Answer in full English sentences. (b) Use the Maple command Scatter Plot to make a scatter diagram. User as the independent variable and N as the dependent variable. Begin your answer to this question with a sentence describing your diagram; for instance, write the following: "Here is a scatter diagram of the given raw data." After you plot the diagram, comment (in full English sentence) on the type of relation that may exist between the two variables based on your observations (linear, quadratic, polynomial of higher degree, etc.). (c) Use Maple to find a function of the best fit to the data. Express the relationship using function notation and write your conclusion. NOTE: you may choose to work with the original years for time t or you can shift your data and treat 1974 as 0. If you choose to shift the time line, do not forget to treat every year accordingly. For example if 1974 corresponds to 0, then the year of 1975 corresponds to 1, and so on. (d) Predict the number of live births given by females over 40 in Canada in 2006, 2007, 2010. What makes it possible to make this prediction? Provide answers in the text mode in full English sentences after you are done working with Maple commands. (e) Graph the scatter diagram and the graph of the best fit function together. Include an appropriate title. (f) Predict in what year in the span of 1974 - 2005 the minimum number of live births were given by females of 40 years old and over in Canada and find this minimum number of births. In other words, use your model and your knowledge of Pre-Calculus material to approximate the minimum number of births in the span of years provided. Explain your steps to get a full credit. (j) Reflect on the model: Do you observe a steady increase or decrease in a number of live births given by females over 40 in Canada over the last decades? What do you think might account for this? Research this online and describe your findings in addition to stating your own opinion (write at least one paragraph; may include images). (k) More Thinking: What do you think is more reliable: (1) making your predictions far beyond the span (or the range) of 1974-2005; or (2) making predictions within the span (or the range) of a discrete set of given data points or just a little beyond it? Provide a well-reasoned