Question
In: Statistics and Probability
Number of Certified Organic Farms in the United States, 2001–2008 Year Farms 2001 6,313 2002 6,647...
| Number of Certified Organic Farms in the United States, 2001–2008 |
|
| Year | Farms |
| 2001 | 6,313 |
| 2002 | 6,647 |
| 2003 | 7,359 |
| 2004 | 7,348 |
| 2005 | 7,778 |
| 2006 | 8,769 |
| 2007 | 10,319 |
| 2008 | 11,633 |
Click here for the Excel Data File
(a) Use Excel, MegaStat, or MINITAB to 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 = xt + |
| Quadratic | yt = xt2 + xt + |
| Exponential | yt = e x |
(b) Use each of the three fitted trend equations to make numerical forecasts for the next 3 years. (Round the intermediate calculations to 2 decimal places and round your final answers to 1 decimal place.)
| t | Linear | Exponential | Quadratic |
| 9 | |||
| 10 | |||
| 11 | |||
Solutions
orchestra answered 2 years agoRelated Solutions
Number of Certified Organic Farms in the United States, 2001–2008 Year Farms 2001 5,974 2002 6,315...
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)
Use Excel, MegaStat, or MINITAB to 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.)
Exponential
yt = 5256.1e
.0861x
(b)
Use each of the three...
Number of Certified Organic Farms in the United States, 2001–2008 Year Farms 2001 6,775 2002 7,163...
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
?...
Number of Certified Organic Farms in the United States, 2001–2008 Year Farms 2001 6,375 2002 6,730...
Number of Certified Organic Farms
in the United States, 2001–2008
Year
Farms
2001
6,375
2002
6,730
2003
7,441
2004
7,425
2005
7,882
2006
8,758
2007
10,297
2008
12,019
(a) Use Excel, MegaStat, or MINITAB to 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 = ____
xt + ______
Quadratic
yt = ____...
It appears that over the past 50 years, the number of farms in the United States...
It appears that over the past 50 years, the number of farms in
the United States declined while the average size of farms
increased. The following data provided by the U.S. Department of
Agriculture show five-year interval data for U.S. farms. Use these
data to develop the equation of a regression line to predict the
average size of a farm (y) by the number of farms (x). Discuss the
slope and y-intercept of the model.
Year
Number of Farms (millions)...
It appears that over the past 50 years, the number of farms in the United States...
It appears that over the past 50 years, the number of farms in
the United States declined while the average size of farms
increased. The following data provided by the U.S. Department of
Agriculture show five-year interval data for U.S. farms. Use these
data to develop the equation of a regression line to predict the
average size of a farm (y) by the number of farms (x). Discuss the
slope and y-intercept of the model.
Year
Number of Farms (millions)...
It appears that over the past 50 years, the number of farms in the United States...
It appears that over the past 50 years, the number of farms in
the United States declined while the average size of farms
increased. The following data provided by the U.S. Department of
Agriculture show five-year interval data for U.S. farms. Use these
data to develop the equation of a regression line to predict the
average size of a farm by the number of farms Discuss the slope and
y-intercept of the model. Year Number of Farms (millions) Average
Size...
It appears that over the past 50 years, the number of farms in the United States...
It appears that over the past 50 years, the number of farms in
the United States declined while the average size of farms
increased. The following data provided by the U.S. Department of
Agriculture show five-year interval data for U.S. farms. Use these
data to develop the equation of a regression line to predict the
average size of a farm by the number of farms Discuss the slope and
y-intercept of the model.
Year
Number of Farms (millions)
Average Size...
Year 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 Dividend $ 7.46 $ 7.91...
Year
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
Dividend
$ 7.46
$ 7.91
$ 8.38
$ 8.80
$ 9.24
$ 9.70
$ 10.28
$ 10.79
$ 11.33
$ 12.01
Find both the arithmetic growth rate and the geometric growth
rate of the dividends for Davy's Crock Pot Stores. Assuming the
January 1, 2011 price of the stock is $110.00, determine the
current required rate of return for the company (use the geometric
growth rate to calculate the...
Year Number of Alternative-Fueled Vehicles in US 2000 394,664 2001 425,457 2002 471,098 2003 533,999 2004...
Year
Number of Alternative-Fueled Vehicles in US
2000
394,664
2001
425,457
2002
471,098
2003
533,999
2004
565,492
2005
592,125
2006
634,562
2007
695,766
3. Find the correlation and regression lines for the data
above.
r=
LinReg(ax+b)=
Year Number of Alternative-Fueled Vehicles in US 2000 394,664 2001 425,457 2002 471,098 2003 533,999 2004...
Year
Number of Alternative-Fueled Vehicles in US
2000
394,664
2001
425,457
2002
471,098
2003
533,999
2004
565,492
2005
592,125
2006
634,562
2007
695,766
1. Do the variables have significant correlation? For full
credit, you must show each step of the hypothesis test. Use the
0.05 significance.
2. In 2008, the price of gas dropped drastically and hit a low
average of $1.59 for the nation. What effect do you think this will
have on the alternative-fuel car sales, if any?...
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