Number of Certified Organic Farms in the United States, 2001–2008 Year Farms 2001 5,357 2002 5,736 2003 6,470 2004 6,456 2005 6,887 2006 7,820 2007 9,398 2008 10,778 Click here for the Excel Data File (a) Fit three trends (linear, quadratic, exponential) to the time series. (A negative value should be indicated by a minus sign. Do not round the intermediate calculations. Round your final answers to 2 decimal places.) Linear yt = 723.07 xt + 4108.9 Quadratic yt = 110.08 xt2+ -267.68 xt + 5760.2 Exponential yt = 4673.4 e 0.0952 x (b) Use each of the three fitted trend equations to make numerical forecasts for the next three years. (Round the intermediate calculations to 2 decimal places and round your final answers to 1 decimal place.) t Linear Exponential Quadratic 9 10616.6 11029.2 12267.56 10 11339.6 11730.2 14091.40 11 12062.7 16135.40
Number of Certified Organic Farms in the United States, 2001–2008 Year Farms 2001 5,357 2002 5,736 2003 6,470 2004 6,456 2005 6,887 2006 7,820 2007 9,398 2008 10,778 Click here for the Excel Data File (a) Fit three trends (linear, quadratic, exponential) to the time series. (A negative value should be indicated by a minus sign. Do not round the intermediate calculations. Round your final answers to 2 decimal places.) Linear yt = 723.07 xt + 4108.9 Quadratic yt = 110.08 xt2+ -267.68 xt + 5760.2 Exponential yt = 4673.4 e 0.0952 x (b) Use each of the three fitted trend equations to make numerical forecasts for the next three years. (Round the intermediate calculations to 2 decimal places and round your final answers to 1 decimal place.) t Linear Exponential Quadratic 9 10616.6 11029.2 12267.56 10 11339.6 11730.2 14091.40 11 12062.7 16135.40
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Number of Certified Organic Farms in the United States, 2001–2008 Year Farms 2001 5,357 2002 5,736 2003 6,470 2004 6,456 2005 6,887 2006 7,820 2007 9,398 2008 10,778 Click here for the Excel Data File (a) Fit three trends (linear, quadratic, exponential) to the time series. (A negative value should be indicated by a minus sign. Do not round the intermediate calculations. Round your final answers to 2 decimal places.) Linear yt = 723.07 xt + 4108.9 Quadratic yt = 110.08 xt2+ -267.68 xt + 5760.2 Exponential yt = 4673.4 e 0.0952 x (b) Use each of the three fitted trend equations to make numerical forecasts for the next three years. (Round the intermediate calculations to 2 decimal places and round your final answers to 1 decimal place.) t Linear Exponential Quadratic 9 10616.6 11029.2 12267.56 10 11339.6 11730.2 14091.40 11 12062.7 16135.40
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