DATA ANALYSIS: ELECTRICITY The table shows the average

Chapter , Problem 92

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DATA ANALYSIS: ELECTRICITY The table shows the average prices (in cents per kilowatt hour) of residential electricity in the United States from 2000 through 2007. (Source: Energy Information Administration) (a) Use the regression feature of a graphing utility to find a cubic model for the data. Let represent the year, with corresponding to 2000. (b) Use the 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 2005 rather than 2000. To do this, you shift the graph of five units to the left to obtain Write in standard form. (d) Use the graphing utility to graph in the same viewing window as (e) Use both models to estimate the average price in 2008. Do you obtain the same answer? (f) Do your answers to part (e) seem reasonable? Explain. (g) What factors do you think may have contributed to the change in the average price?

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