Solved: Health Maintenance Organizations The bar graph shows the numbers of people (in
Chapter 1, Problem 12(choose chapter or problem)
The bar graph shows the numbers of people \(N\) (in millions) receiving care in HMOs for the years 1994 through 2008. (Source: HealthLeaders-InterStudy)
(a) Let \(t\) be the time in years, with t = 4 corresponding to 1994. Use the regression capabilities of a graphing utility to find linear and cubic models for the data.
(b) Use a graphing utility to plot the data and graph the linear and cubic models.
(c) Use the graphs in part (b) to determine which is the better model.
(d) Use a graphing utility to find and graph a quadratic model for the data. How well does the model fit the data? Explain.
(e) Use the linear and cubic models to estimate the number of people receiving care in HMOs in the year 2014. What do you notice?
(f) Use a graphing utility to find other models for the data. Which models do you think best represent the data? Explain.
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