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He Loves Me, He Loves Me Not A Forecast of U.S. Jewelry Sales Alex Gates Ling-Ching Hsu Shih-Hao Lee Hui Liang Mateusz Tracz Grant Volk June 1, 2010
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Purpose Examine trends in jewelry sales in the United States Create a model capable of forecasting future U.S. jewelry sales Forecast U.S. jewelry sales for one year
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Data Data obtained from U.S. Census Bureau website (http://www.census.gov/retail)http://www.census.gov/retail Data is monthly U.S. Jewelry Sales from January, 1992 through March, 2010
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Jewelry Sales Data (JSALES)
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JSALES Correlogram
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Pre-Whitened JSALES
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SDLNJSALES
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SDLNJSALES – Unit Root Test
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SDLNJSALES AR(1)
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SDLNJSALES ARMA(1,1)
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SDLNJSALES – Final ARIMA Model: AR(1) MA(1) MA(12) MA(14) MA(16)
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SDLNJSALES - Correlogram
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SDLNJSALES Serial Correlation Test
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SDLNJSALES Correlogram of Residuals Squared and ARCH Test
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SDLNJSALES - ARCH/GARCH
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Actual, Fitted, Residual
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Histogram of Residuals Non-normal, but single-peaked
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Correlograms Standardized ResidualsResiduals Squared
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ARCH Test for Heteroskedasticity
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Conclusion: Accept the model!
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Forecasting SDLNJSALES for Previous 12 Months
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Forecasting SDLNJSALES for Next 12 Months
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Recolored Forecast of JSALES
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Detailed Graph
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JSALES Data and Forecast Actual values of U.S. Jewelry Sales from January, 2009 through March, 2010 Forecasted values from April, 2010 through March, 2011
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Final Conclusions Forecasted recovery of Jewelry Sales for 2010 holiday season 10.35% increase predicted for December 2010 sales over 2009 levels Upper bound of 95% confidence level predicts that, if everything goes very well, sales could be their highest since 1992
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Final Conclusions
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