Question

Number of Certified Organic Farms in the United States, 2001–2008
Year	Farms
2001	6,775
2002	7,163
2003	7,848
2004	7,819
2005	8,290
2006	9,205
2007	10,711
2008	12,068

Linear    yt = _______ xt + __________

Quadratic yt = ______ xt^2 + ___________ xt + __________

Exponential yt = __________e-------x

Use each pf the three fitted trend equations to make numerical forecasts for the next 3 years.

t	Linear	Exponential	Quadratic
9	?	?	?
10	?	?	?
11	?	?	?

Answer 1

Will be using excel to answer this question:

Consider the following data:

Number of Certified Organic Farms in the United States, 2001–2008
Year	time	Farms
2001	1	6,775
2002	2	7,163
2003	3	7,848
2004	4	7,819
2005	5	8,290
2006	6	9,205
2007	7	10,711
2008	8	12,068

1. Linear

2. Quadratic

3. Exponential

Forecasted values:

t	Linear	Quadratic	Exponential
	y = 706.35x + 5556.3	y = 107.57x2 - 261.74x + 7169.8	y = 6028e0.0785x
9	11,913.45	13,527.31	12,218.06
10	12,619.80	15,309.40	13,215.83
11	13,326.15	17,306.63	14,295.08

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