Mathematics College

The following data shows the quarterly profit (in thousands of dollars) made by a particular company in the past 3 years.

Year Quarter Profit ($1000s)
1 1 45
1 2 51
1 3 72
1 4 50
2 1 49
2 2 45
2 3 79
2 4 54
3 1 42
3 2 58
3 3 70
3 4 56


Required:
a. Construct a time series plot. What type of pattern exists in the data?
b. Develop a three-period moving average for this time series. Compute MSE and a forecast of profit (in $1000s) for the next quarter.

Answers

Answer 1

Answer:

208.82 ; 61.33

Step-by-step explanation:

Given the data:

Year Quarter Profit ($1000s)

1 1 45

1 2 51

1 3 72

1 4 50

2 1 49

2 2 45

2 3 79

2 4 54

3 1 42

3 2 58

3 3 70

3 4 56

The 3 period moving average :

Yr Qtr Profit ($1000s)Pt ____ Ft ____ e=(PT-Ft)²

1 _ 1 ___45 __

1 _ 2 __ 51 __

1 _ 3 __ 72 __

1 _ 4 __ 50 ______________56 ____ 36

2 _ 1 __ 49 ______________57.67__ 75.17

2 _ 2__ 45 ______________57 ____ 144

2 _ 3__ 79 ______________48 ____961

2 _ 4__ 54 ______________57.67 _ 13.47

3 _ 1__ 42 ______________59.33__300.33

3 _2 __ 58 ______________58.33__ 0.11

3 _ 3__ 70 ______________51.33__ 348.57

3 _ 4 __56 ______________56.67__0.45

MSE = Σ(Pt - Ft)² ÷ n

MSE = (36+75.17+144+961+13.47+300.33+0.11+348.57+0.75) ÷ 9

= 208.82

Forecast for next quarter :

(58 + 70 + 56) / 3 = 184 /3 = 61.33

The Following Data Shows The Quarterly Profit (in Thousands Of Dollars) Made By A Particular Company

Related Questions

Which equation represents 7/3 ? Select all that apply.

Answers

I’ll say B , E , and D hope this helps

please someone help me, ill give brainiest pls just help me its my last question on math:

Which comparison is correct?
1 2 3 or 4


1. 7 < 3
2. -2 > -7
3. -9 > 4
4. -6 > -5

Answers

Answer:

2. -2> -7 ...............

2 is the anser hahdhwkqkqoqowijwbs

On a coordinate plane, triangles A B C and D E F are shown. Triangle A B C has points (negative 10, negative 10), (negative 10, negative 4), and (4, negative 10). Triangle D E F has points (0, 8), (12, 4), and (5, 0). Which statement is true of the right triangles ABC and DEF? Area of ABC is greater than area of DEF. Area of ABC is less than area of DEF. Area of ABC is equal to the area of DEF. There is not enough information to compare the areas of triangles ABC and DEF.

Answers

Answer:

Area of ABC is greater than area of DEF

Step-by-step explanation:

Answer:

A. Area of ABC is greater than area of DEF.

9 +10 =

please help

I will give brainliest and 5 star and 10 points for the best answer

Answers

What’s 9 + 10? 21 :(

Answer:

910

Step-by-step explanation:

just remove the plus sign (+) to get your answer :)

if 2x+y=8 and x+2=5. what is the value of y?​

Answers

Answer:

y=2

Step-by-step explanation:

x+2=5

x= 5-2

x= 3

2x+y=8

2×3+y=8

6+y=8

y=8-6

y=2

Answer:

y=2

Step-by-step explanation:

First solve x+2=5 to find x.

x+2=5

  -2  -2

x=3. Substitute x=3 into 2x+y=8.

(2 x 3) + y = 8

Now solve.

6 + y = 8

-6         -6

y=2.

Hope I helped x

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Answer:

25%

Step-by-step explanation:

if you divide into five equal parts it’s going to be 20%

what is the volume of this composite solid ​

Answers

Answer:

C

Step-by-step explanation:

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Answers

Answer:

5!

Step-by-step explanation:

Estimate the diameter of a circle with a circumference of 80 ft. Use 3.14 for pi

Answers

Round your answer to the nearest hundredth if necessary. Estimate the diameter of a circle with a circumference of 80 feet.

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11 ft
8 ft
Your answer​

Answers

Answer: 792

Step-by-step explanation:

9*8= 72

72*11= 792

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Answers

Answer:

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Step-by-step explanation:

The ratio of green to white candles is 2:5. If there are 32 green candles, how many white candles are there?

Answers

Answer:

80?

Step-by-step explanation:

Answer:

80 white candles

Step-by-step explanation:

I use a way that makes it easy for me

2:5 means [tex]\frac{2}{5}[/tex]

so when you write [tex]\frac{2}{5} =[/tex][tex]\frac{32}{x}[/tex]

that means you do the cross multiplication method which makes the equation go that way:

[tex]2x=32*5[/tex]

so

[tex]2x=160\\x= 80[/tex]

I NEED HELP ASAP!!! PLEASE HELP!!!

Answers

Answer:

from B we get y = -2x + 2

part c: slope, m =-2 and b=2

Step-by-step explanation:

Yes this is correct ^^^^

3
1
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+a=
4
5
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Answers

i'm confused, can you tell me the question?

PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP ME. IF I PASS THIS I GET TO GO TO DISNEY WORLD.

Answers

Answer:

I think it would be C

Step-by-step explanation:

The answer is 2.
If they are similar and the second triangle is half of the other one, then the answer is C!
Answer: C

ryan climbed 100 steps in 50 seconds. How many steps did he climbed per second? Step by step. Show the full procedure.

Answers

Well Ryan climbed at a speed of 100 steps per 50 seconds so if you take the steps which is a hundred and the time of 50 seconds and divide the two you will get a result of 2 steps per second.

If each person uses 70 gallons of water per day, how many gallons will 57 people use in a day?

Answers

3990

Step-by-step explanation:

57*70=3990

What is the distance between (1, -1) and (-2,3) ?

Answers

Answer:

the answer is 5

If $6,000 is invested for 5 years with a 3.5% yearly interest rate, what is the amount of simple interest earned?

Answers

Answer:

1,050

Step-by-step explanation:

Simple Interest = Principle×Rate×Time/100

=6,000×5×3.5/100

=1,050

Let h(x)=|2x|-4. Find h(x) when x = -7.
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b) 10
c) -13
d) 13
Plzzz

Answers

Maybe use math photo

URGENT
Solve each triangle. Show work.

Answers

Answer:

Multiply the 27 yd × 30 yd then after the other one do the same thing but after All divide it by 17

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Answers

Answer:

3

Step-by-step explanation:

it is 3 3x1 is 3

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Can you please help me

Answers

9514 1404 393

Answer:

volume: 200 cm³surface area: 220 cm²

Step-by-step explanation:

The usual formulas are useful for this.

  V = LWH

  V = (10 cm)(4 cm)(5 cm) = 200 cm³

The volume is 200 cubic centimeters.

__

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Answers

Answer:

2i + 10j

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Suppose a pack of candy bars has 4 bars. Each bar weighs 3.38 ounces. How much does the pack weigh?

Answers

Answer:

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Step-by-step explanation:

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A phone company plans on offering their new smartphone in four colours: white, black, silver and rose gold. They anticipate that 30% of shoppers will prefer white, 35% will prefer black, 20% will prefer silver and 15% will prefer rose gold. They perform market research by asking a random sample of 350 potential customers which colour they prefer.

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Frequency 99 135 89 27

Can the company conclude that their expected distribution was accurate using a 10% level of significance?

a. Calculate the test statistic.
b. Determine the critical value(s) for the hypothesis test.
c. Conclude whether to reject the null hypothesis or not based on the test


Answers

COLOR I need help with this qeustion also pls tell me when u get the answer

a)

The test statistics is χ² = 8.31

b)

The critical value is 6.251.

c)

We reject the null hypothesis that the expected distribution is accurate.

What is hypothesis testing?

Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.

It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.

We have,

a.

To test whether the expected distribution was accurate, we need to perform a chi-square goodness-of-fit test.

The null hypothesis is that the expected distribution is accurate, and the alternative hypothesis is that it is not accurate.

The expected frequencies are:

Color:

White  Black  Silver  Rose  Gold

105  122.5  70  52.5

i.e

Expected Freq:

0.3 x 350 = 105

0.35 x 350 = 122.5

0.2 x 350 = 70

0.15 x 350 = 52.5

Using the formula for the chi-square goodness-of-fit test statistic:

χ² = ∑ (Observed Frequency - Expected Frequency)² / Expected Frequency

χ² = [(99-105)²/105] + [(135-122.5)²/122.5] + [(89-70)²/70] + [(27-52.5)²/52.5]

χ² = 8.31

b.

The critical value for the chi-square test with 3 degrees of freedom (4 categories - 1) and a significance level of 0.10 is 6.251.

c.

Since the calculated test statistic (8.31) is greater than the critical value (6.251), we reject the null hypothesis that the expected distribution is accurate.

Therefore, the company cannot conclude that their expected distribution was accurate using a 10% level of significance.

Thus,

a)

The test statistics is χ² = 8.31

b)

The critical value is 6.251.

c)

We reject the null hypothesis that the expected distribution is accurate.

Learn more about hypothesis testing here:

https://brainly.com/question/30588452

#SPJ2

If C is the incenter of ∆AMD, m∠A M C = 3 x + 6 and m∠ DMC= 8 x − 49.
find ∠ M A D (just numbers, no degrees signs).

Answers

Answer:51.

Hope this will help you lot.

Answer:

<MAD=66

Step-by-step explanation:

to find x:

8x-49=3x+6

x=11

to find DMC:

8(11)-49

<DMC=39

<ADM=36

to find ADC:

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Answers

Isn’t it supposed to be 3 oranges ?

Answer:

20 oranges.

Step-by-step explanation:

If you add 10 and 3 that gives you 13,

now add the 7 and that should give you 20.

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Answers

Answer:

the bottom graph in the first photo

Step-by-step explanation:

it is a function, unlike the others, because that graph is the only one where the x values dont repeat. in order for it to be a function, the x values cannot repeat

Ms. Gittens went out to dinner and the total bill was $60. She wants to give the waiter a %20 tip. How much money should Ms. Gittens give the waiter for a tip?

Answers

Answer:

$12

Step-by-step explanation:

20% of 60 = 12

Answer:

12 .....20% of 60 is = 12

Step-by-step explanation:

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