QUESTION 3 1.5015 The following time series shows the data of a particular product over the past 4 years Year Forecasted sales (FD Sales (y 58 53 69 65 77 79 96 98 Calculate the mean squared error MSE for this time series (Round your answer to 2 decimal places)

Answers

Answer 1

The mean squared error (MSE) of a time series data set can be calculated using the following formula: MSE = (1/n) * ∑(yi - fi)², where n is the number of data points, yi is the observed value, fi is the forecasted value, and the summation is taken over all data points.

The mean squared error (MSE) of a time series data set can be calculated using the following formula:

MSE = (1/n) * ∑(yi - fi)²

where n is the number of data points, yi is the observed value, fi is the forecasted value, and the summation is taken over all data points.
To find the mean squared error (MSE) for the given time series data, we need to first calculate the forecast errors, which are the differences between the actual and forecasted values.

The table below shows the forecast errors and the squared errors:
Year  Actual Sales  Forecasted Sales  Forecast Error  Squared Error(FE)^2
2015      58                           53                         5                            25
2016      65                           69                        -4                             16
2017       79                           77                          2                             4
2018       98                           96                         2                             4
To find the MSE, we sum the squared errors and divide by the number of data points:
MSE = (1/4) * (25 + 16 + 4 + 4)
MSE = 12.25
Therefore, the mean squared error (MSE) for this time series is 12.25.

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Related Questions

find the volumes of the solid(s)

find the volumes of the solid(s)

Answers

Answer:

28512cm cubed

Step-by-step explanation:

22/7×4.5 squared ×4squared×28

A horizontal plane passes through a cone that has a horizontal base.

Which figure or figures can be produced? Select all that apply.

rectangle
circle
point
line segment
triangle
trapezoid

Answers

The figure or figures that can be produced when a horizontal plane passes through a cone that has a horizontal base are:

Circle
Point
Line segment
Triangle
Trapezoid

a check or quadrangle is defined by the intersection of pairs of

Answers

A check or quadrangle is defined by the intersection of pairs of diagonals of a parallelogram.

What is a parallelogram?

A parallelogram is a quadrilateral with two pairs of parallel sides. In a parallelogram, the opposite sides are parallel and have the same length. The opposite angles of a parallelogram are equal. A parallelogram is a unique type of quadrilateral with specific characteristics.

What is a check or quadrangle?

A quadrangle or check is defined as the intersection of pairs of diagonals of a parallelogram. In other words, it is the area inside the parallelogram that is divided into four triangles, each of which shares a common vertex in the center of the parallelogram.

The diagonals of a parallelogram are the line segments that connect the opposite vertices of a parallelogram. When these diagonals intersect, they form four triangles, which are also known as the parallelogram's "sub-triangles." The point where the diagonals intersect is called the center of the parallelogram, and it divides each diagonal into two equal parts.

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This is for a Geometry-H class

This is for a Geometry-H class

Answers

Applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees

How to Apply the Linear Angles Theorem?

Based on the linear angles theorem, we have the following equation which we will use to find the value of y:

3y + 11 + 10y = 180

Add like terms

13y + 11 = 180

Subtract 11 from both sides

13y + 11 - 11 = 180 - 11

13y = 169

13y/13 = 169/13

y = 13

Plug in the value of y

3y + 11 = 3(13) + 11 = 50 degrees

10y = 10(13) = 130 degrees.

Therefore, applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees.

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Solving two step equation help I my brain hurts it’s probably so easy but i don’t feel like trying.

Solving two step equation help I my brain hurts its probably so easy but i dont feel like trying.

Answers

This question can go either way:
100-8=92 dollars back
Or
100 divided by 4+8= 33 dollars left
Hope this helped

A football team has an away game, and the bus breaks down. The coaches decide to drive the players to the game in cars and vans.
Four players can ride in each car. Six players can ride in each van. There are 48 players on the team. The equation 4.3 + 6y = 48
models this situation, where x is the number of cars and y is the number of vans

Answers

Answer     2x and 7y

Step-by-step explanation:

Question:

Find 4 possible solutions in the context of the problem.

The 4 possible solutions in the context of the problem are (0, 8), (3, 6), (6, 3), and (9, 2)

Given the equation that models the situation expressed as:

4x + 6y = 48

We are to find 4 possible solutions for x and y. Note that the values of x and y must be integers.

If there are no cars i.e. at when x = 0

4(0) + 6y = 48

0 + 6y = 48

6y = 48

y = 48/6

y = 8

One of the solution is (0, 8)

If there are 3 cars, i.e. at when x = 0

4(3) + 6y = 48

12 + 6y = 48

6y = 48 - 12

y = 36/6

y = 6

The second solution will be (3, 6)

If there are 6 cars, i.e. at when x = 6

4(6) + 6y = 48

24 + 6y = 48

6y = 48 - 24

y = 24/6

y = 4

The third solution will be (6, 3)

If there are 9 cars, i.e. at when x = 9

4(9) + 6y = 48

36 + 6y = 48

6y = 48 - 36

y = 12/6

y = 2

The fourth solution will be (9, 2)

Hence the 4 possible solutions in the context of the problem are (0, 8), (3, 6), (6, 3), and (9, 2)

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define isometric angle ​

Answers

Answer:

it's just a angle that is 3D

Step-by-step explanation:

T is the midpoint of SU. If TU = 6x + 8, what is TU? ​

Answers

The halfway is the point at which the segment is divided into two halves. Knowing this, we shall receive:

ST = 80TU = 80SU = 160What exactly is a line segment?

In general, if both end points of a line segment are vertices of something like a polygon or polyhedron, the line drawn is either an aspect (of that polygon or polyhedron) if they are neighboring vertices, or perhaps a diagonal. A chord is a line segment whose endpoints are both located on a curve (such as a circle) (of that curve).

According to the information provided:

If T is the midpoint of SU, then there is the following:

ST = TU

And we have expressions for these measures:

ST = 5*x

TU = 3*x + 32

Then we can write:

5*x = 3*x + 32

Now we can solve this for x.

5*x - 3*x = 32

2*x = 32

x = 32/2 = 16

x = 16

Now that we know what the value of x is, we can use it to solve the equations to determine the length of each segment:

ST = 5*x

= 6*16

= 80

TU = 3*x + 32

= 3*16 + 32

= 80

SU = ST + TU

= 80 + 80

= 160

The halfway is the point at which the segment is divided into two halves. Knowing this, we shall receive:

ST = 80

TU = 80

SU = 160

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I understand that the question you are looking for is:

If T is the midpoint of SU, what are ST, TU, and SU?

T is the midpoint of SU. If TU = 6x + 8, what is TU?

The rate of change of N is inversely proportional to sec(z) - N(x), where (-<<). If N (0) = 2, and N () = 4, what is k? O-4 04 O 10 O 12

Answers

The solution of the problem is that k = 4. This can be found by first solving the differential equation for N(x), and then using the initial conditions to find the value of k.

The differential equation for N(x) can be written as:

```

N'(x) = k / (sec(z) - N(x))

```

where N'(x) is the rate of change of N(x), k is a constant, and sec(z) is the secant function. The initial conditions are N(0) = 2 and N(1) = 4.

To solve the differential equation, we can use separation of variables. This gives us:

```

N(x) * N'(x) = k * dx

```

Integrating both sides of this equation gives us:

```

int(N(x) * N'(x)) dx = int(k * dx)

```

```

N^2(x) = kx + C

```

where C is an arbitrary constant.

Using the initial condition N(0) = 2, we can find the value of C:

```

2^2 = k * 0 + C

```

```

C = 4

```

Substituting this value of C back into the equation for N(x) gives us:

```

N^2(x) = kx + 4

```

Using the initial condition N(1) = 4, we can find the value of k:

```

4^2 = k * 1 + 4

```

```

k = 4

```

Therefore, the answer is k = 4.

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Which is the next step in the following construction of a regular hexagon? (1 point)

O Connect A and B with a straightedge.
O Connect A and C with a straightedge.
O With compass setting the same as line segment PA, place the compass at P and draw
an arc above the diameter.
O With compass setting the same as line segment PA, place the compass at C and draw an arc that intersects the circle.

Which is the next step in the following construction of a regular hexagon? (1 point)O Connect A and B

Answers

The next step in constructing a regular hexagon is With compass setting the same as line segment PA, place the compass at C and draw an arc that intersects the circle.

How to construct a regular hexagon?

First set the compass width to be equal to that of the radius of the circle. This will give you the point A on the circle.

Using the same width, place the compass on point A and make an arc at point B. Use the same width to make an arc at C by placing the compass on B.

Then, to get to the next step, use the same width as segment PA which is the radius, and place the compass at C to draw another arc.

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A florist shop represents its first month’s sales with the equation y = 168 x + 8, where x represents the number of days that the shop is open and y represents the sales in dollars. The owner of the shop would like to calculate the number of days it took to reach $3,200 in sales. Which would be used to solve the problem?
Substitute 3,200 for x.
Add 8 and 3,200.
Divide 3,192 by 168.
Isolate y in the equation.

Answers

Answer:

c is correct

Step-by-step explanation:i took the test

Answer:

C

Step-by-step explanation:

An oven is marked at $628 exclusive of sales tax. calculate the price jasmine is paying for the oven if an 8% sales tax is added

Answers

66.13 is the tax so the total will be 694.13

a
A toy company is modeling a real home as a doll house. They decide to use a 2/3 inch to 1 foot
scale, the traditional scale for doll houses built in the 20th century. If the actual house is 30
feet high, how high will the dollhouse be in inches?

Answers

2/3in = 1ft

30ft = ?in

30/(2/3)=45

45in

John bought a full 1 liter bottle of soda. He drank half of it. How many milliliters of soda does John have left?

Answers

Answer:

500 ml

Step-by-step explanation:

1 liter = 1 000 ml

1 / 2 liters = 1000 ml /2 = 500 ml

1000ml - 500 ml = 500 ml

A chore of a circle is l cm long the distance of the circle is h in cm and the radius of the circle is r cm express r in terms of l and b

Answers

To express the radius of a circle, denoted by r, in terms of the length of the chord (l) and the distance of the chord from the center of the circle (h), we can use the following approach:

In a circle, the perpendicular distance from the center to a chord bisects the chord. This means that the distance from the center to the midpoint of the chord is equal to h/2. Now, consider the right triangle formed by the radius (r), the distance from the center to the midpoint of the chord (h/2), and half of the chord length (l/2). According to the Pythagorean theorem, the square of the radius is equal to the sum of the squares of the other two sides of the triangle.

Using this information, we can write the equation:

r^2 = (h/2)^2 + (l/2)^2

Simplifying the equation:

r^2 = h^2/4 + l^2/4

Taking the square root of both sides to solve for r:

r = √(h^2/4 + l^2/4)

Therefore, the expression for the radius (r) in terms of the length of the chord (l) and the distance of the chord from the center (h) is r = √(h^2/4 + l^2/4).

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A scared tarantula was able to go a distance of 20 meters in 6 seconds. What was its
average speed?

Answers

Answer:

3.33 m/s

Step-by-step explanation:

speed = \(\frac{meters}{seconds} > \frac{20}{6} = 3.33\)

a triangle has two sides of length 18 and 3. what is the largest possible whole-number length for the third side?

Answers

Answer:

20

Step-by-step explanation:

Triangle inequality says that the third side can only be 18-3...15, that is bigger than 15.

And 18+3... 21, that is smaller than 21.

If the third side is 21, the 18 and the 3 will just lay right on top of the 21 and not make a triangle. So it has to be 20 in order to be a whole number.

a triangle has two sides of length 18 and 3. what is the largest possible whole-number length for the

7. A survey made on 45 students for number of hours spent on watching T.V in a week is recorded : 8, 4, 7, 10, 12, 15, 10, 9, 8, 7, 12, 14, 16, 5, 6, 13, 8, 7, 9, 14, 10, 15, 12, 6, 15, 12, 7, 6, 9, 10, 6, 15, 14, 10, 4, 9, 8, 10, 7, 4, 8, 7, 13, 6, 18. Arrange the above data in ascending order : (i) How many students watch T.V for more than 15 hours a week? (ii) How many of them spend less than 6 hours a week on T. V. ​

Answers

Answer:

6 watch more than an hour and 3 watch less than 6 hours

Step-by-step explanation:

BRAINLIEST PLS

A survey of business students who had taken the Graduate Management Admission Test (GMAT) indicated that students who have spent at least five hours studying GMAT review guides have a probability of 0.85 of scoring above 400. Students who do not spend at least five hours reviewing have a probability of 0.65 of scoring above 400. It has been determined that 70% of the business students spent at least five hours reviewing for the test.


Required:

a. Find the probability of scoring above 400.

b. Find the probability that a student who scored above 400 reviewed for the test.

Answers

The probability of scoring above 400 is 0.79 or 79%.

The probability that a student who scored above 400 reviewed for the test is approximately 0.753 or 75.3%.

The events are,

A = Student spent at least five hours studying GMAT review guides.

B = Student scored above 400.

Probabilities are,

Probability of scoring above 400 given that the student spent at least five hours studying GMAT review guides

P(B|A) = 0.85

Probability of scoring above 400 given that the student did not spend at least five hours studying GMAT review guides.

P(B|A') = 0.65

Probability that a student spent at least five hours studying GMAT review guides.

P(A) = 0.70

a. Find the probability of scoring above 400,

find P(B), use the Law of Total Probability,

which states that the probability of an event can be calculated by considering all possible ways the event can occur.

P(B)

= P(B|A) × P(A) + P(B|A') × P(A')

= 0.85 × 0.70 + 0.65 × (1 - 0.70)

= 0.595 + 0.195

= 0.79

b. The probability that a student who scored above 400 reviewed for the test,

To find P(A|B),

Use Bayes' theorem, which relates the conditional probabilities of two events.

P(A|B)

= (P(B|A) × P(A)) / P(B)

= (0.85 × 0.70) / 0.79

= 0.595 / 0.79

= 0.753

Therefore, the probability of scoring above 400 is 0.79  and probability of a student who scored above 400 reviewed for test is  0.753 .

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dispatch has sent you to the scene of a fight at a local sporting event. since the ems system is busy and there are very few ambulances available, dispatch has instructed you to call for additional units after arrival on scene. on scene, you find that the police are present and what appear to be 10 to 12 people are seated or lying on the ground, many with blood on their faces and clothing. when would you call for additional ambulances?

Answers

The additional ambulances would be dispatched to scene of a conflict at a nearby sporting event before the patient exits the ambulance.

Explain the need of additional ambulances?An ambulance is a car that can take sick or injured persons who need immediate medical attention and transport them to a hospital. Patients can be moved between hospitals using ambulances as well.

The crime scene is explained as -

You have been dispatched to the scene of a brawl at a nearby sporting event. Since there aren't many ambulances available and the ems system is busy, dispatch has told you to ask for more units when you arrive on the site.There are police and what appeared to be 10 to 12 persons sitting or lying on the ground, many of whom have blood on both faces and clothing, when you arrive on the scene.

As a result, extra ambulances will be sent to the scene of a brawl at a local sporting event before the patient exits the ambulance.

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A shop is offering a 15% reduction on the price of a computer .The original price of the computer was $670.what is its reduced price?​

Answers

Answer:

$569.50

Step-by-step explanation:

15% deduction from the initial price(100%) will have us remaining with 85%

100% = 670

85% = 85% x 670

                100%

= $569.50

how to adding and subtracting rational expressions practice

Answers

Answer:

hope this helps!!

Step-by-step explanation:

how to adding and subtracting rational expressions practice
how to adding and subtracting rational expressions practice

which number is not a perfect square 1) 3 25 81 100 121 2) 4 12 9 144 36 3) 1 16 27 49 64

Answers

Answer:

1. 3

2. 12

3. 27

Step-by-step explanation:

Answer:

1. 3                2. 12                3. 27

Step-by-step explanation:

1. 25's perfect square would be 5. 81's would be 9. 100's is 10. 121's is 11. So therefore, that would leave you with 3.

2. 4's is 2. 9's is 3. 144 is 12. 36 is 6. Therefore, 12 is not a perfect square.

3. The perfect square of 1 is obviously 1. 16 is 4, 49 is 7, and 64 is 8. So, 27 is the odd one out.

I really hope this helped! Good luck :)

hii pls pls help me thank you!​

hii pls pls help me thank you!

Answers

Answer:

x=61 °

Step-by-step explanation:

angle ABE=90 ° (angle in a semi circle), so angle EBD= angle ABD - angle ABE =115-90=25 °

and the angle EDB=180 - angle EDF =180-86=94 °

so in the triangle BED:

x=180-(angle EDB+ angle EBD) =180-(94+25) =61°

The sides OP and RO of triangle POR are produced to points S and T respectively. If ∠SPR = 145° and ∠POT = 115° , find ∠PRO

Answers

Answer:

\(\angle PRQ = 80\)

Step-by-step explanation:

Given

\(\angle SPR = 145^o\)

\(\angle POT = 115^o\)

See attachment

Required

Find \(\angle PRO\)

First, calculate \(\angle RPO\)

\(\angle RPO + \angle SPR = 180\) --- angle on a straight line

So, we have:

\(\angle RPO + 145 = 180\)

Collect like terms

\(\angle RPO = 180 - 145\)

\(\angle RPO = 35\)

Next, calculate PQR

\(\angle POR + \angle POT = 180\)

So, we have:

\(\angle POR + 115 = 180\)

Collect like terms

\(\angle POR = 180-115\)

\(\angle POR = 65\)

So, PRO is calculated as:

\(\angle PRO + \angle POR + \angle RPO = 180\) --- angles in a triangle

So, we have:

\(\angle PRO + 65 + 35= 180\)

\(\angle PRO + 100= 180\)

Collect like terms

\(\angle PRO = 180-100\)

\(\angle PRO = 80\)

The sides OP and RO of triangle POR are produced to points S and T respectively. If SPR = 145 and POT

The graph of g(x) below resembles the graph of f(x) = x^2, but it has been changed. which of these is the equation of g(x)

The graph of g(x) below resembles the graph of f(x) = x^2, but it has been changed. which of these is

Answers

The equation of g(x) include the following: D. g(x) = 4x² + 2

What is a translation?

In Mathematics and Geometry, the translation of a graph to the right simply means a digit would be added to the numerical value on the x-coordinate of the pre-image:

g(x) = f(x - N)

Conversely, the translation of a graph downward simply means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:

g(x) = f(x) - N

In this context, we can logically deduce that the parent function f(x) = x² was translated 2 units up and vertically stretched by 4 units in order to produce the graph of the image g(x), we have:

g(x) = 4f(x) + 2

g(x) = 4x² + 2

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14 feet:_____ yards__ foot make sure both yards an foot.​

Answers

Answer:

The speaker is a child who cannot understand the concept of a shadow or what it is, that it isn't another person, and instead looks at his shadow in a new way, showing the reader how to think past the mere science of it. rhuman being.

Step-by-step explanation:

A alad dreing i made by mixing yoghurt and mayonnaie in the ratio 3 : 5

karolina make 800 ml of the alad dreing
how much yoghurt doe h ue?
give your anwer in mililitere

Answers

The amount of yoghurt used in 800 ml salad dressing is 300 ml.

Let the amount of yoghurt and mayonnaise used be 3x and 5x. So, forming the equation based on total amount.

3x + 5x = 800

Performing addition on Left Hand Side of the equation

8x = 800

x = 800 ÷ 8

Performing division on Right Jand Side of the equation

x = 100

So, the amount of yoghurt required = 3x

The amount of yoghurt = 3 × 100

Performing multiplication

The amount for yoghurt = 300 ml

Hence, the amount of yoghurt is 300 ml.

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How can you use properties of operations to expand expressions? QUICK PLEASE!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

hope it helps you

thank you

How can you use properties of operations to expand expressions? QUICK PLEASE!!!!!!!!!!!!!!!!!

What is an equation in point-slope form of the line shown in the graph, using the point (1, 5)?

Answers

Answer:

The point-slope form is  

y

+

6

=

1

5

(

x

4

)

or  

y

+

5

=

1

5

(

x

9

)

, depending on which point you use. If you solve for  

y

to get the slope-intercept form, both equations will convert to  

y

=

1

5

x

34

5

Step-by-step explanation:

y-5=[whatever slope is](x-1)
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