Problem. Healthcare costs in the United States have been increasing over the years. The following data shows the average cost of healthcare per person for selected years from 1986 to 2008 (data from CMS.gov website*) Year (x) 1986 1990 1997 2003 2008 Cost (per person] $1947 $2843 $4147 $6099 $7909 a) Plot the data (let 1986 be year 0) b) By observation, predict what type of model (linear, quadratic, cubic, or quartic] will best fit the data. c) Using your graphing calculator find the R2 value for each model (use x=( for 1986) Linear Quadratic Cubic Quartic "Centers for Medicare and Medicaid Services: https://www.cms. gov/Research Statistics-Data-and-Systems/Statistics:Trends and Reports/NationalHealthExpendData/Downloads/NIE2014.rip d) Based on the R' - values, which function is the best fit? e) Is this function appropriate? Why or why not? ) If another function is a better fit, which function is it? Why would this be a better fit? g) Using your chosen function, when would you predict health care costs will hit $9500 per person per year? D. Focus ) Using your chosen function, when would you predict health care costs will hit $9500 per person per year? h) What would each of your functions predict that health care costs would be in 2014? Linear Quadratic Cubic Quartic i) In 2014, health care costs were actually $9523 per person per year. In view of this, what could you say about the ability of your chosen function to predict costs into the future? h) Considering Ra, model validity and effectiveness, which f would you recommend as the best fit for the data