2. The number of doctors of osteopathic medicine (in thousands) in the U.S. from 2000 through 2008 is given below. Year 2000 2001 2002 2003 2004 2005 2006 2007 2008 Number (in thousands) 44.9 47.0 49.2 51.7 54.1 56.5 58.9 61.4 64.0 a) Draw a scatter plot for the data in the table above. Be sure to label the axes. goos b) Draw a line of best fit for the data on the scatter plot above. c) Let y represent the average number of doctors (in thousands) and let t represent the year, with t = 0 corresponding to 2000. Find a linear model for this data that gives the average number of doctors y in the year t using the line of best fit you drew above. Show your work. d) Use your model to estimate the number of doctors of osteopathic medicine in 2015. Show your work. The predicted number of doctors in 2015 is 8105 101