Project 1: Life ExpectancyRubric for Grading1. Scatterplot on Graph Paper - (1)a) Graph has a title - (I)b) Points are plotted accurately - (1)c) Followed horizontal axis instructions - (I- A)d) Followed vertical axis instructions - (I - B)e) Lines of best fit are drawn accurately - (I - E)) Labeled intersection point shown on graph - (I| - E)g) Graph is neat - (1)2. Men's Equation - (I - C)3. Women's Equation - (II - D)4. Algebraic Point of Intersection using Substitution -(work must be shown for full credit - give the x and y values; answer the question asked) - (III - A)5. Comparison of Graphing and Algebraic Results - (III - A)6. Life Expectancy of males and females born in 2015 and 2025 - (III - B)7. 1850 Question - (I| - C)8. Value and Meaning of the y - intercepts of the models - (III - D)9. Two paragraphs - How valid are the models and could they be used as prediction tools - (III - E)

1 de 2 ojectltl titeEitpect-ncy Over the last one hundred years. the life expectancy of both men and women has increased signicantly, In this project. you will investigate the trends concerning this and use modeling to answer questions about these trends. The purpose of this project is for you to apply concepts we have discussed in class, such as modeling with the \"-8334 calculator. drawing scatter plots. making predictions. and solving systems of linear equations. The process you are to use is outlined below. Once you have completed the project, your pair [or you individually] should turn in a neatly written summary of your results. Each pair will turn in one graph, constructed in parts Ic and lie. and tom in answers to all remaining asterisked parts. Each asterisked item should be numbered as shown below, with all work shown. Any questions requiring verbal responses should be answered in complete sentences. Discuss the answers as a pair, and give a written response together. no the numerical calculations together. also. Put the names of both members of the pair and your section on the project. It is due on Thursday. 3:93 at the beginning of class. No projects will be accepted late. !. Visualizing the data The table below shows the life expectancy at birth. by gender. for the years indicated. beginning in 1903 and continuing through 2010. 1990 11.8 78.8 2000 NJ. ?9.5 2010 2'61 81.] 2020 74.5 81.5 Using graph paper. complete the following steps: a] Use the horizontal axis lit} to represent the year. Label units for every ten years, beginning in 1500 and continuing through 2020. tr] Use the vertical axis lyl to represent life expectancy. label units for every five years. beginning with 20 and continuing through 110. 'c] Use a plus {+1 sign to represent the data for men. and plot the points on the grid using the year as the it coordinate and the life elpectancy of men as the y coordinate. Use an 'o" to represent the data for women, and plot the points on the same grid using the year as the x coordinate and the lite expectancy ot women as the y coordinate. II. Finding the models a} Using the years as x and the life expectancy of males as y. enter the data in your calculator in L; and L3, respectively. Enter the life expectancy of females [as a second y list: In L3. bl Set up the plots 'In your calculator so that you can display {.1 and L2 as P'Iotl. Set up Plot? to display Li and La. [Recall that the setup for plots is done with 2\"d V: Make sure that each plot uses a different rnarK so that you can distingursn between the two.] Use Zoom 9 to view the scatter plot, once you have set up the plots. Then adjust the window to match the grid on your graph paper. It should resemble the one you drew in part I. 'c) Using the Calculate menu under Stats. find a linear regression model for L1 and L2. Write the corresponding equation, showing accu racy to four decimal places for a and b. 'd] Using the Calculate menu under Stats. find a linear regression model for L1 and L3. Note that the format will he LinReg [ysairi-bl L1,L3. mite the correspmcling equation, showing accuracy to four decimal places for a and h. 'e) Draw the two lines whose equations you found in parts c and d on the graph you produced in part I. A simple way to do this is to find two points on each line by substituting in values for x and solving for y. Use years that are actually on the grid. i.e. between 1340 and 2000 and a multiple of 10. Do the lines appear to intersect? Where? Show opproxbnate coordinates, based on the grid. as Integers. Ill. Interpreting the models 'a} Using the above models. was there in the past or will there be in the future a year in which the life expectancy of males and the life expectancy of females are the same? {To answer this question, you must solve the system using both model equations} Compare your answer to the one you found in part IIe above. 'bl Use your models to predict the life expectancy of males and females born in 2015 and in 2025. 'cl In 1850, the estimated lite expectancy of males at birth was 38, The estimated life expectancy of females at birth was 40. How do your r'nodels' predictions compare to these values? 'dl Discuss the value and meaning of the y-intercepts of the models. 'e) Based on the above and on any other pertinent mathematical or non-mathematical considerations. discuss the validity of the models and their use as predicting tools. Write at least two paragraphs, each with a topic sentence and supporting evidence