Entertainment The table shows the amounts A (in dollars)

Chapter 2, Problem 2.8.19

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Entertainment The table shows the amounts A (in dollars) spent per person on the Internet in the United States from 2000 to 2005. (Source: Veronis Suhler Stevenson)(a) Use a graphing utility to create a scatter plot of the data. Let t represent the year, with corresponding to 2000. (b) A cubic model for the data is which has an -value of 0.99992. Use a graphing utility to graph this model with the scatter plot from part (a). Is the cubic model a good fit for the data? Explain. (c) Use the regression feature of a graphing utility to find a quadratic model for the data and identify the coefficient of determination. (d) Use a graphing utility to graph the quadratic model with the scatter plot from part (a). Is the quadratic model a good fit for the data? Explain. (e) Which model is a better fit for the data? Explain. (f) The projected amounts A* spent per person on the Internet for the years 2006 to 2008 are shown in the table. Use the models from parts (b) and (c) to predict the amount spent for the same years. Explain why your values may differ from those in the table.

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