exponential smoothing is meant to be used with time-series data when the data are made up of some or all of the basic components of level, trend, seasonalitiy, and error. if the data series only fluctuates about an average with no trend and no serasonalitiy, which form of smoothing wouldyou employ? if the data include all of these components, which form of smoothing would you employ? how should the smoothing constants be chosen?

Answers

Answer 1

Based on the information provided, ETS is an abbreviation for these three terms (Error, Trend, and Season). Following that, Exponential Smoothing Methods for an ETS system can be described, with the details specified in a smoothing style.

=> As should be obvious, combining Error, Trend, and Season on any occasion in three distinct ways yields a plethora of combinations.

=> The trend depicts the overall layout of the time. It communicates with the data's drawn-out model — its tendency.

=> The seasonal section displays the types associated with anticipated events. Finally, the error component explains what the season and trend components do not. The error is due to the disparity between the first data and the combination of trend and seasonality. As a result, if we crystallize all three parts, we will have the first data back.

=> It has a counted substance conduct when the period of seasonal swings remains constant.

=> We can label our model as ETS (M,A,M).

-> Multiplicative Mistake

-> Added substance Trend

-> Multiplicative Seasonality.

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Related Questions

im stumped please help

Answers

C - 270 degrees

Because the starting position is 0 and add 90 degrees for each square so it will be 270

(b) Write down the value of 12⁰
(c) Write down the value of 3-²

Answers

Answer:

b) 1 c) 0.1

Step-by-step explanation:

b) The value of 12⁰ will be?

→ 12⁰ = ?

→ 12⁰ = 1

Hence, the solution is 1.

c) The value of (3)^(-2) will be?

→ (3)^(-2) = ?

→ (3)^(-2) = 0.1

Hence, the solution is 0.1.

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Answers

The equation of the parabola is f(x) = 7(x-3)^2+5.

Given:

The equation of the parabola that has the same shape has f(x) = 7x^2 but with vertex(3,5) in the form of f(x) = a(x-h)^2 + k.

If the parabola has same shape then its a values are same.

so f(x) = 7x^2

here a = 7

so the equation with vertex (3,5) also has a value is 7.

(h,k) = (3,5)

f(x) = a(x-h)^2+k

= 7(x-3)^2 + 5.

Therefore the equation of the parabola is f(x) = 7(x-3)^2+5.

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P. USE REPRESENTATIONS Sheila plans to invest $2000 or less in two different accounts. The low
risk account pays 3% annual simple interest, and the high risk account pays 12% annual simple
interest. Sheila wants to make at least $150 in interest this year.
a. Define the variables, then write and graph a system of inequalities to show how Sheila can
split her investment between the accounts.

Answers

Inconclusion the amount she invested in each account is $1,000 invested at interest rate 12% .

What is interest rate?

An interest rate informs you of how much borrowing will cost you and how much saving will pay off. Therefore, the interest rate is the amount you pay for borrowing money and is expressed as a percentage of the entire loan amount if you are a borrower.

Let x represent the amount invested at 3%.

. 12x +.03(2000-x)= 150

.09x+ 60 = 150

Collect like terms

.09x = 90

Divide both side by .09x

x  = 90/.09

x=$1000

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8 The table shows number of bottles of water four
students drank. One bottle holds 335 milliliters. How
many more fluid ounces did Michael drink than
Lydia? (Hint: 1 fl oz ≈ 30 mL)

Kyle = 5 Bottles of Water
Lisa = 4 Bottles of Water
Lydia = 3 Bottles of Water
Michael = 6 Bottles of Water

Answers

Michael drinks 33.5 fl oz more fluid ounces than Lydia.

Given in question,

30 ml = 1 fl oz

  1 ml = 1/30 fl oz

1 bottle = 335 milliliters

No. of bottles of water Michael drank = 6

                                                              = 6 * 335 milliliters

                                                              = 2010 milliliters

                                                              = 2010/30 fl oz

                                                              = 67 fl oz

No. of bottles of water Lydia drank = 3

                                                           = 3 * 335 milliliters

                                                           = 1005 milliliters

                                                           = 1005/30 fl oz

                                                           = 33.5 fl oz

Therefore, 67 - 33.5 = 33.5

Hence, Michael drinks 33.5 fl oz more fluid ounces than Lydia.

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write the quotient as a power. a^21/a

Answers

the quotient as a power. a^21/a is a^20.

What is Power?

In mathematics, power defines a base number raised to the exponent, where base number is the factor which is multiplied by itself and exponent denotes the number of times the same base number is multiplied.

What is quotient?

The number we obtain when we divide one number by another is the quotient.

What is exponential function?

An exponential function is a mathematical function of the following form: f ( x ) = a x. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e , which is equal to approximately 2.71828.

Given that,

a^21/a

quotient as power = a^21/a

                             =  a^(21-1)

                             = a^20

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Find an equation for the perpendicular bisector of the line segment whose endpoints are (4,−1) and (8,7).

Answers

Answer: [tex]y=-\frac{1}{2}x+6[/tex]

Step-by-step explanation:

The slope of the line segment is [tex]\frac{-1-7}{4-8}=2[/tex].

So, the slope of the perpendicular bisector is -1/2.

The midpoint of the line segment is [tex]\left(\frac{4+8}{2}, \frac{-1+7}{2} \right)=(6, 3)[/tex].

Thus, the equation is:

[tex]y-3=-\frac{1}{2}(x-6)\\\\y-3=-\frac{1}{2}x+3\\\\y=-\frac{1}{2}x+6[/tex]

if y varies inversely as x and y=3 when x=21, find y when x=9

Answers

After simplification, the value of y is 7 when x=9.

In the given question, if y varies inversely as x and y=3 when x=21, find y when x=9.

From the given question y varies inversely as x i.e.

y ∝ 1/x

When we remove the inversly sign then their is one variable should be added. Let the variable should be k.

Now the expression is

y = k/x

As we know that y=3 when x=21.

Now putting the value.

3 = k/21

Multiply by 21 on both side, we get

k = 3*21

k = 63

Now the value of k is 63.

Now finding the value of y when x=9

y = 63/9

y = 7

Hence, the value of y is 7 when x=9.

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Calculate the area of the square!

Answers

Answer:

The answer is 169

Step-by-step explanation:

I’m pretty sure it’s 169

the owner of a new pizzeria in town wants to study the relationship between weekly revenue and advertising expenditures. all measures are recorded in thousands of dollars. the summary output for the regression model is given below. anova df ss ms f significance f regression 6 19.4512364 3.24187273 18.10468324 1.2794e-05 residual 13 2.327814576 0.17906266 total 19 21.77905098 step 1 of 3 : what is the coefficient of determination for this model, r2? round your answer to four decimal places.

Answers

R square is the most appropriate compared to the adjusted r square value.

What is coefficient ?

In mathematics, a coefficient is a multiplicative coefficient of some term in a polynomial,  series, or expression. Usually numeric, but can be any expression. If the coefficients themselves are  variables, they can also be called parameters.

CalculationIn this question, it is given that some of coils due to regression equal 16.75147827, likewise the samosta- is due to residual equals 5.751489304. So the total sum of squares. When we add this, both we will get 22.50296757. Likewise, it is given that the degrees of freedom for regression equals 110 degrees of freedom for residual equal 6, so the total degree of freedom is 7. So the first question is that we have to find the coefficient of determination for this data.We know that coefficient of determination, which is denoted by r square, equal s, s regression divided by the summa square for total, so this is equals 16.751 47827 divided by 22.50296757. So this is equals 0.744. 412 point. So we got the coefficient of determination that is r square. Next, we have to find the jester square. We know that jested r square equals 1 minus s s residual, divided by degrees of freedom, for residual, divided by s; s total divided by the degrees of freedom. For total, so this is equals 1 minus 5.751489304 divided by 6, divided by 22.50296757, divided by 7 point. So this is equals. 0.70. 1. 81. 4 point, so we got the adjusted r square value for this data. Also. The third question is that from these 2, which statistics is most appropriate for the pisareane order to determine the usefulness of the regression model and y, so we can say that r square is most appropriate, since the model has only 1 independent variable. So among the adjusted r square and r square, we can say that r square is the most appropriate compared to the adjusted r square value

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in the simple linear regression equation , the term b0 represents: a. estimated or predicted response b. estimated intercept c. estimated slope d. explanatory variable

Answers

In the simple linear regression equation , the term b0 represents b) Estimated intercept

Define estimated intercept.

The expected mean value of Y when all X=0 is the intercept, also referred to as the constant. Create a regression equation with X as the only predictor to begin. The expected mean value of Y at that value is the intercept in the event that X occasionally equals 0. When x is 0, the projected value for y—the intercept of the regression line—is simply 0. A line's slope and intercept can be expressed in terms of the equation y = slope x x + intercept. The Value of Interception The point where the function crosses the y-axis is known as the intercept and is frequently denoted as a constant. In some analyses, removing the intercept and reducing the regression line to Y = bX + error causes the regression model to only become significant.

Given,

In the simple linear regression equation , the term b0 represents:

b) Estimated intercept

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10p^2 - 20p - 34 = -4

Answers

Answer:

p = -1 ; p= 3

Step-by-step explanation:

10p^2 - 20p - 34 +4 = 0

10p^2 -20p - 30 = 0

10/10 p^2 - 20/10 p - 30/10 = 0

p^2 - 2p - 3 = 0

(p-3)(p+1) = 0

p = 3

p = -1

Which number is a multiple of 4?

A.) 6

B.) 9

C.) 15

D.) 12​

Answers

Answer:

D: 12

Step-by-step explanation:

multiples of 4: 4,8,12,16,20

12 is the only number that can be divided by 4 on the list

Hopes this helps please mark brainliest

Answer:

D. 12

Step-by-step explanation:

12 is a multiple of 4 because 4 goes into 12 (evenly, with no remainder).

That's what being a multiple means.

All the "answers" to 4 times table questions are multiples of 4. Here they are:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48...

Can't actually list them all because the list goes on forever.

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Answers

The maximum area that the material would cover is 640, 000 square yards

What is rate of change?

A rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable, then

rate of change = change in y / change in x

if 3200 yards was used for fencing, then 3200 yards is perimeter

and perimeter of a rectangle = 2( L + B)

so that,

2(L + B) = 3200

L + B = 1600

express L in terms of B

L = 1600 - B

Area(A) = L X B

A = L X B

substitute L = 1600 -B

A = (1600 - B) x B

multiply out

A = 1600B - [tex]B^{2}[/tex]

for maximum area,

[tex]\frac{dA}{dB}[/tex] = 0

But dA / dB = 1600 - 2B

1600 - 2B = 0

2B =1600

B = 1600/2

B = 800 yards

L = 1600 - B

L = 1600 - 800

L = 800 yards

Area = L X B

A = 800 x 800

A = 640,000 square yards

In conclusion, he maximum area is  640,000 square yards and the dimensions are 800 yards by 800 yards

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Dolev shared his pretzels equally among 5 friends. If each friend received 7 pretzels, how many pretzels did Dolev have? Select all that apply. StartFraction p Over 5 EndFraction = 7 Divide by 5 on both sides of the equation. Multiply by 5 on both sides of the equation. 7 × 5 = 35. 7 ÷ 5 = 1.4. Dolev had 35 pretzels.

Answers

The correct options are that Multiply by 5 on both sides of the equation.

7 × 5 = 35. thus Dolev had 35 pretzels.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have been given that Dolev has 5 friends and each friend got 7 pretzels, the equation that can be used to represent this will be;

p / 5 = 7

In order to determine the value of p, the following steps would be taken :

Now Multiply both sides of the equation by 5:

p = 7 x 5

Then Determine the product of the numbers :

7 x 5 = 35

The correct options are; that Multiply by 5 on both sides of the equation.

Dolev had 35 pretzels.

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67,107 rounded to the nearest ten-thousand

Answers

Answer:

70,000

Step-by-step explanation:

Round up if the next digit is higher than or equal to 5.

edit: accidentally answered twice

Answer:

70,000

Step-by-step explanation:

Round up if the next digit is higher than or equal to 5.

How many times greater is 1.88 times 10^2 than then mass of 2.35 times 10^-1

Answers

1.88 × 10² greater than 2.35 × 10⁻¹ by 800 times which is found by using division.

The two numbers given are:

1.88 times 10²

= 1.88 × 10²

And

2.35 times 10⁻¹

= 2.35 × 10⁻¹

We need to find that how much time is 1.88 × 10² greater than 2.35 × 10⁻¹.

We will use division for the same.

So, we get that:

= 1.88 × 10² / 2.35 × 10⁻¹

Using the rules of exponents and simplify the expression, we get that:

= 0.8 × 10 ²⁺¹

= 0.8 × 10³

= 0.8 × 1000

= 800

Therefore, we get that, 1.88 × 10² greater than 2.35 × 10⁻¹ by 800 times which is found by using division.

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At the beginning of a chemistry experiment, the volume of liquid in a container was 3 milliliters. During the experiment, the volume dropped to
2.1 milliliters. Find the percent of decrease.

Answers

Answer:

30%

Step-by-step explanation:

To calculate the percent of change, you find the amount of change and divide that my the original amount

[tex]\frac{3-2.1}{3}[/tex] = [tex]\frac{.9}{3}[/tex] = .3  As a percent, this would be 30%

so what is 9/4 divided by 6/5

Answers

Answer:

45/20

Step-by-step explanation:

Answer:

9/4 divided by 6/5 is 15/8

Step-by-step explanation:

9/4 ÷ 6/5 turns into 9/4 × 5/6 which is the reciprocal

9/4 × 5/6 = 45/24

Divide the numerator and denominator by 3 to get 15/8

15/8 is in its simplest form

Which shape has exactly 4 lines of symmetry?

Answers

Answer:

Step-by-step explanation:

its a square so choose the yellow square.

Factor −4x2 + 12x. PLease help

Answers

Answer:

-4x(x-3)

Step-by-step explanation:

-4x^2+12x

divide by -4x

-4x(x-3)

Robin's bank account has $1,876. Every month she withdraws $30 for her phone payment. Create an equation to describe how
much money she will have after a certain amount of months. Write the equation for this problem in function notation. Then
interpret how much money Robin will have after 6 months of payments. Make sure to define your variables and show all of your
work.

Answers

Answer: M = 1876 - 30n  will give the amount of Money (M) remaining after n months of withdrawing exactly $30 per month, PROVIDED NOTHING ELSE IS EVER ADDED TO OR WITHDRAWN FROM THE ACCOUNT.  (Not very realistic.)

Use n=6 to provide the balance after 6 months.

Step-by-step explanation:


1. Why is identifying
the domain and range important when
defining a function?

Answers

Identifying the domain and range is important when defining a function because domain gives all the input values and range gives all the output values a function can take. It is very essential to know domain and range of a function.

Domain are represented by independent variable and are graphed on x coordinate of the axis.

Range are dependent values and are graphed on y axis of the graph.

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whats the product of 23 and 39

Answers

Answer:

Step-by-step explanation:

1. Product means multiplying sign in math

23*39=897

2. Answer: 897

the robots are powered coffee alone. They use 2 bags of coffee each day. how long will 1/4 of a bag last them?

Answers

Answer:

3 hours

Step-by-step explanation:

The robots are powered coffee alone. They use 2 bags of coffee each day. how long will 1/4 of a bag last them?

1/4 = 0.25

0.25 / 2 = 1/8 or 0.125

0.125 * 24 hours = 3 hours

URGENT PLEASEEE!
What is an equation of the line that passes through the points (2, -8) and (-6, 0)

Answers

Answer:

It should be y=2x-1

Step-by-step explanation:

Divide these numbers in the given ratios

36 in the ratio 4:5

Answers

So you do 5 + 4 = 9. Then multiply 4 by 9 = 36 and 5 by 9 = 45

NAME
DATE
Topic Representing Linear Relationships
PERIOD
4. A mountain road is 5 miles long and gains elevation at a constant rate.
After 2 miles, the elevation is 5,500 feet above sea level.
After 4 miles, the elevation is 6,200 feet above sea level. (Lesson 3-6)
a. Find the elevation of the road at the point where the road begins.

Answers

The elevation of the road is 4800 feet.

From the question, we have

y = mx + b

where m is the rate of change, b is the initial value of y and y, x are variables.

Let y represent the elevation of the road after x miles.

After 2 miles, the elevation is 5500 feet above sea level.

5500 = 2m + b   (1)

After 4 miles, the elevation is 6200 feet above sea level.

6200 = 4m + b   (2)

Solving equation 1 and 2, we get

m = 350, b = 4800

The elevation of the road 4800 feet.

Subtraction:

Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers. The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.

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f(x) = (1 + =)",
k, n EN,
Given that the coefficient of x³ is twice the coefficient of x² in the binomial expansion of f(x),
(a) prove that n = 6k + 2.
Given also that the coefficients of x4 and x5 are equal and non-zero,
(b) form another equation in n and k and hence show that k = 2 and n = 14.
Using these values of k and n,
(c) expand f(x) in ascending powers of x, up to and including the term in x5.
Give each coefficient as an exact fraction in its lowest terms
n>2

Answers

Given that the coefficient of x³ is twice the coefficient of x² in the binomial expansion of f(x)

(a) It is proved that n = 6k + 2

(b)k = 2 and n=14

(c) After expansion, the equation is
   1 + 14x + 91/4x^2 + 1001/2x^3 + 1001/16x^4 + 1001/16x^5

What is the binomial theorem?

The algebraic expansion of a binomial's powers is described by the binomial theorem (also known as binomial expansion) in elementary algebra.
The theorem states that the polynomial (x + y)n can be expanded into a sum including terms of the form axbyc, where the exponents b and c are nonnegative integers and b + c = n, and the coefficient an of each term is a particular positive integer dependent on n and b.

Solution Explained:


f(x)= (1+x/k)^n

Given that the coefficient of x^3 is twice the coefficient of x^2 in the binomial expansion of f(x)

a)

Coeff of x^3 = 1/6[n(n-1)(n-2)/k3]

Coeff of x^2 = 1/2[n(n-1)/k2]

1/6[n(n-1)(n-2)/k3] = 2* 1/2[n(n-1)/k2]

Canceling on both sides gives:

(n-2)/(6k) = 1

n = 6k+2        Hence proved

Given also that the coefficients of x^4 and x^5 are equal and non-zero,

b)

Coeff x^4 = 1/24 [n(n-1)(n-2)(n-3)/k4

Coeff x^5 = 1/120 [n(n-1)(n-2)(n-3)(n-4)/k5

1/120 [n(n-1)(n-2)(n-3)(n-4)/k5 = 1/24 [n(n-1)(n-2)(n-3)/k4

Canceling gives:

(n-4)/(120k) = 1/24

n = 5k+4

From previous:

n = 6k+2 = 5k+4

k = 2

n=14

Using these values of k and n,

c)

Give each coefficient as an exact fraction in its lowest terms
1 + 14x + 91/4x^2 + 1001/2x^3 + 1001/16x^4 + 1001/16x^5

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Write these numbers in standard form.
a) 200000
b) 80000
c) 900 000 000
d) 10 000 000 000

Answers

Answer:

a) 2.0 x 10^5

b) 8.0 x 10^4

c) 9 x 10^9

d) 1 x 10^10

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