Number of Certified Organic Farms in the United States, 2001-2008

Year Farms

2001 5,974

2002 6,315

2003 7,032

2004 7,006

2005 7,486

2006 8,368

2007 9,932

2008 11,165

(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 finalanswers to 2 decimal places.)

Linear y_t=__?__x_t+ ____?___

Quadratic y_t=____?_____x_t²+x_t+____?____

Exponential y_t= ___?____e____?____^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 finalanswers to 1 decimal place.)

t Linear Exponential Quadratic

9

10

11