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1. Visualizing the data. Using graph paper, complete the following steps a) Use the horizontal axis (x) to represent the year. Begin with year 1960

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1. Visualizing the data. Using graph paper, complete the following steps a) Use the horizontal axis (x) to represent the year. Begin with year 1960 and continue through year 2050. You will need to choose an appropriate scale for the x-axis to model the data. b) Use the vertical axis (y) to represent the times, in seconds. You will first need to convert all the times to seconds instead of minutes and seconds. Then choose an appropriate scale for the yaxis to model the data, begin with 200 seconds and continue to 300 seconds. c) Use a plus (+) sign to represent the data for men, and plot the points on the grid using the year as the x coordinate and the times for 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 times for women as the y coordinate. d) Title your graph and label the x and y axes. 2. Finding the models a) Using the years as x and the times in seconds for men as y, enter the data in your calculator in L, and L,, respectively. Do the same for women except use L. and b) Set up the plots in your calculator so that you can display L, and L, as Plot1. Set up Plot2 to display L, and L. [Recall that the setup for plots is done with 2" Y-. Make sure that each plot uses a different mark so that you can distinguish 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 L, and L. Write the corresponding equation, showing accuracy to three decimal places for a and b. d) Using the Calculate menu under stats, find a linear regression model for L. and Ly. Note that the format will be LinReg (y-axb] (L ._ ). write the corresponding equation, showing accuracy to three decimal places for a and by e) Draw the two lines whose equations you found in parts c and d on the graph YOU produced in part . A simple way to do this is to find two points on each line by substituting in values for x and solving for v. Use years that are actually on the grid, Le. between 1960 and 2050. Do the lines appear to intersect? Where? show approximate coordinates, based on the grid, as integers

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