Data Analysis: Water Consumption The table shows the per capita consumption of bottled

Chapter 9, Problem 79

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Data Analysis: Water Consumption The table shows the per capita consumption of bottled water (in gallons) in the United States from 1990 through 2003. (Source: Economic Research Service, U.S. Department of Agriculture) (a) Use the regression feature of a graphing utility to find a cubic model for the data. Let represent the year, with corresponding to 1990. (b) Use a graphing utility to plot the data and the model in the same viewing window. (c) You want to adjust the model so that corresponds to 2000 rather than 1990. To do this, you shift the graph of 10 units to the left to obtain Write in standard form. (d) Use a graphing utility to graph in the same viewing window as (e) Use both models to estimate the per capita consumption of bottled water in 2008. Do you obtain the same answer? (f ) Describe the overall trend in the data. What factors do you think may have contributed to the increase in the per capita consumption of bottled water?

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