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


Year Farms


2001 6,231


2002 6,574


2003 7,237


2004 7,211


2005 7,701


2006 8,581


2007 10,302


2008 11,796


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.)


(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.)

Answers

Answer 1

Answer:

ŷ = 739.49X + 4876.43

y = 6755.98 - 388.24x + 125.30x²

y = 5428.98(1.09)^x

B.)

Linear:

ŷ = 739.49(9) + 4876.43

y = 11531.8

Year 2010 ; x = 10

y = 739.49(10) + 4876.43

y = 12271.3

Year 2011 ; x = 11

y = 739.49(11) + 4876.43

y = 13010.8

Quadratic :

Year 2009 ; x = 9

y = 6755.98 - 388.24(9) + 125.30(9^2)

y = 13411.1

Year 2010 ; x = 10

y = 6755.98 - 388.24(10) + 125.30(10^2)

y = 15403.6

Year 2011 ; x = 11

y = 6755.98 - 388.24(11) + 125.30(11^2)

y = 17646.6

Exponential:

Year 2009 ; x = 9

y = 5428.98(1.09)^9

y = 11791.2

Year 2010 ; x = 10

y = 5428.98(1.09)^10

y = 12852.4

Year 2011 ; x = 11

y = 5428.98(1.09)^11

y = 14009.1

Step-by-step explanation:

X :

1

2

3

4

5

6

7

8

Y:

6231

6574

7237

7211

7701

8581

10302

11796

Using the online linear regression calculator :

The linear trend :

ŷ = 739.49X + 4876.43

Where x = year

With 2006 representing 1 ; and so on

Slope = m = 739.49

Intercept (c) = 4876.43

y = predicted variable

The quadratic model:

General form:

y = A + Bx + Cx²

y = 6755.98 - 388.24x + 125.30x²

The exponential model:

y = AB^x

y = 5428.98(1.09)^x

B.) Next three years :

Year 2009 ; x = 9

Year 2010 ; x = 10

Year 2011 ; x = 11

Linear:

ŷ = 739.49(9) + 4876.43

y = 11531.8

Year 2010 ; x = 10

y = 739.49(10) + 4876.43

y = 12271.3

Year 2011 ; x = 11

y = 739.49(11) + 4876.43

y = 13010.8

Quadratic :

Year 2009 ; x = 9

y = 6755.98 - 388.24(9) + 125.30(9^2)

y = 13411.1

Year 2010 ; x = 10

y = 6755.98 - 388.24(10) + 125.30(10^2)

y = 15403.6

Year 2011 ; x = 11

y = 6755.98 - 388.24(11) + 125.30(11^2)

y = 17646.6

Exponential:

Year 2009 ; x = 9

y = 5428.98(1.09)^9

y = 11791.2

Year 2010 ; x = 10

y = 5428.98(1.09)^10

y = 12852.4

Year 2011 ; x = 11

y = 5428.98(1.09)^11

y = 14009.1


Related Questions

Please help it would mean alot!
Points and brinliast!

Answers

Answer:

Maybe because what about the other votes that were supposed to be left.

Step-by-step explanation:

What is k? (the problem is a picture (attached to this post))

Answers

Answer:

K=4

Step-by-step explanation:

Step 1: Multiply both sides by k-3

Step 2: Add 9 to both sides

Step 3: Divide both sides by 3

The length of a rectangle is 3 more than 3 times its width. The perimeter of the rectangle is 174 inches. What is the length of the rectangle?

Answers

Answer:

Sorry I cant help

Step-by-step explanation:

This table shows a linear relationship. x 5 6 7 8 9 y 33 39 45 51 57 Based on the information in this table, which equation can be used to model the relationship between x and y? y = 3x + 6 y = 6x + 3 y = 3x y = 6x

Answers

Answer:

y=6x+3

Step-by-step explanation:

the question is the picture​

Answers

Y=Mx+c
C=1
M=3/1
Y=3x+1

given that cosec A= -2, sec B= -2, A and B lie in the same quadrant. Find sin (2A+2B)

help me please,​

Answers

Answer:

sin (2A+2B) = 0

Step-by-step explanation:

Given that,

cosec A= -2 and sec B= -2, A and B lie in the same quadrant.

We need to find the value of sin (2A+2B).

[tex]A=cosec^{-1}(-2)\\\\=-30[/tex]

And

[tex]B=\sec^{-1}(-2)\\\\=120^{\circ}[/tex]

To find the value of sin (2A+2B) as follows :

sin [2(-30)+2(120)] = sin (-60+240)

=sin (180)

= 0

So, the value of sin (2A+2B) is qual to 0.


Help :( I need this :)

Answers

Answer:

you can put in any of the numbers that are already listed in the x values. You can put 5, 14, -1, and 23 because something can't be a function if x values repeat.

which of the following are properties of all rectangles? Select all that apply.​

Answers

Answer:

see explanation

Step-by-step explanation:

The rectangle has the following properties

• Opposite sides are parallel and congruent

• All angles are right angles

• The diagonals are congruent

• The diagonals bisect each other

Thus

They are quadrilaterals

Opposite sides are equal in length

All angles are 90°

Opposite sides are parallel

Rectangles are not parallelograms ( the angles of a parallelogram are not necessarily right and diagonals are not congruent )

Rods car takes 14 gallon to fill up and gets 35 miles per gallon rod drives 17.5 miles a day can rod go a whole month with out filling up

Answers

Answer:

No

Step-by-step explanation:

Rod would have to fill his care up 7 times to drive a whole month, cause a month would be 225 miles and his car holds 35 miles worth of gas.

what is the value of 6797999012

Answers

Answer:

6797999012

Step-by-step explanation:

Solve this inequality for x 81-1 1/5x < 55

Answers

Answer:

81 - 1 1/5 x < 55

Step-by-step explanation:

-1 1/5x < -26

-6/5x< -26

x < -26 * -5/6

x < 65/3

Answer:

the answer is C it was on my mid-term

Step-by-step explanation:

4. What is the sum of these numbers?
-7,5, -3, 6, -4, 7, -5, 3, -1, 4.
The sum is

Answers

Answer:

the sum is going by 2

Step-by-step explanation:

the sum is 2

URGENT HURRY ILL MAKE YOU BRAINIEST IF YOU ANWSER. Mae ling earns a weekly salary of $375 plus a 7.5 commission on sales at a gift shop how much would she make in a work week if she sold 4,600 worth of merchandise

Answers

Answer:

I think the answer is 720!

Step-by-step explanation:

In the square pyramid shown below, the diagonal length FC = 16√2 centimeters and the height of the pyramid is 7 centimeters. Find the slant height AD of the pyramid, to the nearest tenth. Show your work with reasoning for each step.

Answers

Answer:

Don't have

Step-by-step explanation:

In the square pyramid shown below, the diagonal length FC = 16√2 centimeters and the height of thid, to the nearest tenth. Show your work with reasoning for each step.  stepstep

9×7=
9×70=
9×700=
9×7,000=
9×70,000=
9×700,000=
9×7,000,000=

Answers

63
630
6,300
63,000
630,000
6,300,000
63,000,000
9x7=63
9x70=630
9x700=6300
9x7000=63000
9x70000=630000
9x700000=6300000
9x7000000=63000000

Mae ling earns a weekly salary of 400 plus a 6.5 commission on sales at a gift shop how much would she make in a work week if she sold 4300 worth of merchandise

Answers

Answer:

Mae Ling will make $679.5 in a week if she sells 4300 worth of merchandise.

Step-by-step explanation:

Given that

Weekly salary of Mae Ling = $400

Commission rate = 6.5%

Mae ling's total weekly earning will be her salary plus her commission on the sales she does in the week.

Given that her sales for the said week are: $4300

Her commission will be:

[tex]Commission = 6.5\%\ of\ sales\\ = 0.065*4300\\=\$279.5[/tex]

Now to calculate her total salary, we will add the weekly salary and commission.

[tex]Total\ weekly\ Earning = Weekly\ Salary +\ Commission\\= \$400+\$279.5\\=\$679.5[/tex]

Mae Ling will make $679.5 in a week if she sells 4300 worth of merchandise.

Given a cylinder with a volume of 502.4 in3and radius 4 in. Find the height of the cylinder.

Answers

Answer:

h = 9.99in

Step-by-step explanation:

...

how many terms are there in the expression 2x - 3y + 8?​

Answers

Answer:

Three. 2x, -3y, and 8.

Step-by-step explanation:

For every constant or variable, there is a term.

In this expression, there are two variables (x and y) and there is a constant (8).

Hence, there are three terms.

Hope this helped!

What is the first thing you do before solving an adding fraction problem
Pls help

Answers

Answer:

The first thing you do is make the denominators equal on both sides.

Step-by-step explanation:

As a example if you have the equation:

[tex]\frac{1}{2}[/tex] + [tex]\frac{2}{5}[/tex] =

you would multiply the denominator by the smallest multiple. I would do 2 * 5= 10

this would make the equation

[tex]\frac{x}{10} + \frac{x}{10} = ...[/tex]

next you have to do the same with the numerator.

so sence you multiplied the [tex]\frac{1}{2}[/tex] by five you will get [tex]\frac{5}{10}[/tex]

same with the other fraction except you multiplied it by two.[tex]\frac{2}{5}[/tex] x 2 = [tex]\frac{4}{10}[/tex]

next you add and simplify if needed

Answer:

3 simple steps

Step-by-step explanation:

1.     Make sure the bottom numbers ( the denominators ) are the same

       IF DIFFERENT find the LCD

2.    Add the top numbers (the numerators )

3.    simplify the fraction if needed

ex:  1/4 +1/4 = 2/4  (bottoms were the same) simplify  1/2

       1/3 + 1/6    LCD of 3 and 6 so make the bottom numbers 6

                         so multiply  1/3 x  2 = 2/6

        now you have 2/6 + 1/6 = 3/6    simplify 1/2

The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of business travelers follow.

2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9
6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9
7 10 7 9 9 9 9

Required:
Develop a confidence interval estimate of the population mean rating for Miami.

Answers

Answer: 6.8622 ; 8.1778

Step-by-step explanation:

Given the data:

2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9

6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9

7 10 7 9 9 9 9

Assume a confidence interval of 95%

Using calculator :

The mean of the distribution (m) = 7.52

Standard deviation (s) = 2.314

Sample size),

Obtaining the t score ;

Degree of freedom (df) = (n-1) = 50 - 1 = 49

t(1-α/2), 49 = t(0.025, 49) = 2.01 ( t distribution table)

Margin of Error :

2.01 * s/√n = 2.01 * 2.314/7.0710678

Margin of Error (E) = 0.6578

Confidence interval:

(Mean - E) ≤μ≤ (mean + E)

(7.52 - 0.6578) ≤μ≤ (7.52 + 0.6578)

6.8622 ≤μ≤ 8.1778

Find the midpoint of the segment with the following endpoints.
(-3, 8) and (-8,2)

Answers

Answer:

[tex](\frac{-11}{2},5)[/tex]

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg I

Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define

Point (-3, 8)

Point (-8, 2)

Step 2: Solve for midpoint

Substitute:                    [tex](\frac{-3-8}{2},\frac{8+2}{2})[/tex]Subtract/Add:               [tex](\frac{-11}{2},\frac{10}{2})[/tex]Divide:                          [tex](\frac{-11}{2},5)[/tex]

Answer:

The answer is (-5.5, 5)

if you share 2 bars in the ratio 1: and 1:7 how mAny pieces will each person get​

Answers

Answer:

I think it will be 4:7 im not very sure tho

Step-by-step explanation:

If the cube shown is 6 inches on all sides, what is the length of the diagonal, X, of the cube?
A)
V6 inches
B)
3 V6 inches
Eliminate
)
6V3 inches
D)
6 V6 inches

Answers

It’s either a or b I think sorry if I’m wrong

Answer:

C

Step-by-step explanation:

I did it on USA test prep

Which of the following best describes a change in human society because of the Neolithic Revolution? A. Before the Neolithic Revolution, people lived in organized societies; after the Neolithic Revolution people had to migrate from place to place. B. Before the Neolithic Revolution, people developed complex social hierarchies; after the Neolithic Revolution, people had more social equality. C. Before the Neolithic Revolution, people had developed many specialized jobs in society; after the Neolithic Revolution, people shared the jobs of hunting and gathering food. D. Before the Neolithic Revolution, people obtained food by hunting and gathering; after the Neolithic Revolution, people domesticated plants and animals.

Answers

Answer:A

Step-by-step explanation:

In the Neolithic Revolution, people formed civilizations.

Express 8e^i16pie in rectangular, polar and trignometric form?

Answers

Euler's formula immediately gives

[tex]8e^{i\cdot16\pi}=8\cos(16\pi)+8i\sin(16\pi)=8[/tex]

and the equation above lists, from left to right, the polar, trigonometric, and rectangular forms.

The graph below shows the numbers of cups of peach juice that are mixed with different numbers of cups of lemon-lime soda to make servings of peach soda:

A graph is shown. The values on the x axis are 0, 1, 2, 3, 4, 5. The values on the y axis are 0, 9, 18, 27, 36, 45. Points are shown on ordered pairs 0, 0 and 1, 9 and 2, 18 and 3, 27 and 4, 36. These points are connected by a line. The label on the x axis is Lemon lime soda in cups. The title on the y axis is Peach juice in cups.

What is the ratio of the number of cups of peach juice to the number of cups of lemon-lime soda?

9:1
1:36
36:1
1:9

Answers

Answer:

A-9:1 is correct i can confirm since i took the test

Step-by-step explanation:

What is 3 to the 4th power

Answers

81, you just type in a calculator 3^4 which would also equal 3x3x3x3

Answer:

3 to the 4th power is 81.

Step-by-step explanation:

You would do 3 × 3, which would get you to 9. Then, you multiply 9 × 9, which gives you 81.

The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second). Find the probability that the demand will exceed 170 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal places.)

Answers

Answer:

0.1827

Step-by-step explanation:

Given mean of exponential distribution = 100

==> 1/χ = 100  ==> χ = 1/100 ==> χ = 0.01

PDF of χ , f(x) = χe^(-χx), x ≥ 0

===> f(x) = 0.01e^(-0.01x), x ≥ 0

Now we find the probability that the demand will exceed 170 cfs during the early afternoon on a randomly selected day

P(X>170) = ∞∫170 f(x)dx

P(X>170) = ∞∫170 0.01 e^(0.01x) dx

P(X>170) = [e^(-0.01x) / -0.01]^∞  base 170

P(X>170) = -1 [e^-∞  - e^-0.01*170]

P(X>170) = e^-1.7

P(X>170) = 0.1827

The probability that the demand will exceed 170 cfs during the early afternoon on a randomly selected day is 0.1827



WILL GIVE BRAINLIEST IF CORRECT

Answers

Answer:

A.true)

Step-by-step explanation:

Hope this helps!

PLS HELP
4. What does the y-intercept of the graph of Monday's storm mean? Does the y-intercept of the graph of Thursday's storm have the same meaning?

Answers

Answer/Step-by-step explanation:

✅The y-intercept of the graph of Monday's storm means 0 mm of precipitation was recorded when the tracking started at 0 minutes. The y-intercept is 0 mm.

✅Thursday's Storm has the same y-intercept as the graph of Monday's Storm, which is also 0 mm precipitation at the beginning of the tracking. It has the same meaning as that of the y-intercept of the graph of Monday's Storm.

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