**Number of Certified Organic Farms in the United States, 2001-2008**| Year | Farms ||------|-------|| 2001 | 5,357 || 2002 | 5,736 || 2003 | 6,346 || 2004 | 6,456 || 2005 | 6,787 || 2006 | 7,828 || 2007 | 9,398 || 2008 | 10,778 |### Data Analysis1. **Fit three trends (linear, quadratic, exponential) to the time series.** - Negative values should be marked with a minus sign. - Round intermediate calculations and final answers to 2 decimal places. - **Linear Model:** - \( Y_t = \text{(slope)} \cdot X_t + \text{(intercept)} \) - **Quadratic Model:** - \( Y_t = \text{(a)} \cdot X^2_t + \text{(b)} \cdot X_t + \text{(c)} \) - **Exponential Model:** - \( Y_t = \text{(a)} \cdot e^{\text{(b)} \cdot X_t} \)2. **Forecasting:** - Use the fitted trend equations to forecast for the next three years. - Round intermediate calculations to 2 decimal places and final answers to 1 decimal place. | Year | Linear | Exponential | Quadratic | |------|--------|-------------|-----------| | 9 | | | | | 10 | | | | | 11 | | | |**Note:** Click the link provided for the Excel data file to assist in calculations.

a) Let t=1 for 2001, t=2 for 2002,.......t=8 for 2008. Steps to construct scatter plot in Excel:…

Number of Certified Organic Farms in the United States, 2001-2008 Year Farms 2001 5,357 5,736 6,470 6,456 6,887 7,820 9,398 10,778 2002 2003 2004 2005 2006 2007 2008 Click here for the Excel Data File a) Fit three trends (linear, quadratic, exponential) to the time series. (A negative value should be indicated ound the intermediate celculetions. Round your final answers to 2 decimal places.)

Number of Certified Organic Farms in the United States, 2001-2008 Year Farms 2001 5,357 5,736 6,470 6,456 6,887 7,820 9,398 10,778 2002 2003 2004 2005 2006 2007 2008 Click here for the Excel Data File a) Fit three trends (linear, quadratic, exponential) to the time series. (A negative value should be indicated ound the intermediate celculetions. Round your final answers to 2 decimal places.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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