Consider the following time series data. Week 1 2 3 4 5 6 Value 18 12 15 10 18 14 Using the naive method (most recent value) as the forecast for the next week, compute the following measures of forecast accuracy. (a) mean absolute error MAE = (b) mean squared error MSE = (c) mean absolute percentage error (Round your answer to two decimal places.) MAPE = % (d) What is the forecast for week 7?
Answer:
(a) MAE = 5.20
(b) MSE = 10
(c) MAPE = 38.60%
(d) Forecast for week 7 = 14
Step-by-step explanation:
Note: See the attached excel for the calculations of the Error, Error^2, and Error %.
(a) mean absolute error
MAE = Total of absolute value of error / Number of observations considered = |Error| / 5 = 26 / 5 = 5.20
(b) mean squared error
MSE = Total of Error^2 / Number of observations considered = Error^2 / 5 = 150 / 5 = 10
(c) mean absolute percentage error (Round your answer to two decimal places.)
MAPE = Total of Error % / Number of observations considered = Error % / 5 = 193.02 / 5 = 38.60%
(d) What is the forecast for week 7?
Since the forecast is based on the naive method (most recent value), the forecast for week 7 is value for week 6. Therefore, we have:
Forecast for week 7 = 14
The average weight of a package of rolled oats is supposed to be at most 18 ounces. A sample of 18 packages shows a mean of 18.20 ounces with a sample standard deviation of 0.50 ounces. (a) at the 5 percent level of significance, is the true mean larger than the specification
Answer:
Pvalue of 0.0446 < 0.05, which means that we reject the null hypothesis and accept the alternative hypothesis, that the true mean is larger than the specification.
Step-by-step explanation:
The average weight of a package of rolled oats is supposed to be at most 18 ounces.
This means that the null hypothesis is:
[tex]H_{0}: \mu \leq 18[/tex]
Is the true mean larger than the specification?
Due to the question asked, the alternate hypothesis is:
[tex]H_{a}: \mu > 18[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
18 is tested at the null hypothesis:
This means that [tex]\mu = 18[/tex]
A sample of 18 packages shows a mean of 18.20 ounces with a sample standard deviation of 0.50 ounces.
This means that [tex]n = 18, X = 18.2, \sigma = 0.5[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{18.2 - 18}{\frac{0.5}{\sqrt{18}}}[/tex]
[tex]z = 1.7[/tex]
Pvalue of the test:
Probability of finding a sample mean above 18.2, which is 1 subtracted by the pvalue of z = 1.7.
Looking at the z-table, z = 1.7 has a pvalue of 0.9554.
1 - 0.9554 = 0.0446
0.0446 < 0.05, which means that we reject the null hypothesis and accept the alternative hypothesis, that the true mean is larger than the specification.
What is the slope of the line in the graph?
How many solutions will the equation have?
| x – 2| = 6
Answer:
2
Step-by-step explanation:
Answer:
2 solutions I believe. 2 different x values.
I need this plz help
Answer:
D
Step-by-step explanation:
Its roating clockwise 90 degrees
Write the ratios for sin X and cos X.
9514 1404 393
Answer:
sin(X) = (√119)/12
cos(X) = 5/12
Step-by-step explanation:
The mnemonic SOH CAH TOA can help you remember the relevant ratios.
Sin = Opposite/Hypotenuse
sin(X) = YZ/YX
sin(X) = (√119)/12
__
Cos = Adjacent/Hypotenuse
cos(X) = XZ/XY
cos(X) = 5/12
f a circle has a diameter of 13 dm, then the radius of the circle is _____ dm.
Answer:
Step-by-step explanation:
What is the radius of a circle whose diameter is 13 units? This means that the diameter is double the length of the radius. To find the radius, do: ∴, the radius is 13 2 units or 7.5 units.
Answer:
6.5dm
Step-by-step explanation:
Diameter is twice radius
radius =13÷2
radius =6.5dm
giving brainliest !!!!!!!
Answer:
368
Step-by-step explanation:
The bank has 5 Vaults.Each vault contains 5 drawers 5 stacks and $25 what’s in the bank?
What is the range of the data below?
A: 22
B: 28
C: 41
D: 42
Answer:
20
Step-by-step explanation:
42 is the biggest and the smallest is 22 so 42-22 = 20!
Pls help me. My assignment is due in half an hour. Thank you.
A rectangular card has a length 3 inches longer than twice the width. The area is 324 inches squared. What are the dimensions of the card in inches? Order your answer from least to greatest.
Answer:
w=12 L=27
Step-by-step explanation:
length is twice the width with additional 3 inches
12×2=24+3=27
12×27=324
Find the value of x (please I need help)
Answer:
48°
Step-by-step explanation:
All the angles in a triangle sum up to 180°.
Therefore,
x°+74°+58°=180°
→x°+132=180°
x°=180-132=48°
I NEED HELP PLEASE HURRY
Answer:
60m2
Step-by-step explanation:
(12x4)+(4x3)=60
Please give brainliest if this helps :)
What are the vertices of the hyperbola whose equation is = 1? (−17,−6) and (1,−6) (−15,−6) and (−1,−6) (−8,−15) and (−8, 3) (−8,−13) and (−8, 1)
Answer:
(-8, -15) and (-8, 3)
Step-by-step explanation:
got it right on test
option 3 on edge21
Answer:
c on edge
Step-by-step explanation:
Need help on this please
Answer:
25[tex]\pi[/tex]
Step-by-step explanation:
[tex]\pi[/tex][tex]r^{2}[/tex]=area of circle
[tex]\frac{1}{4}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]=1/4 of the area of a circle
now solve
[tex]\frac{1}{4}[/tex][tex]\pi[/tex][tex]10^{2}[/tex]
[tex]\frac{1}{4}[/tex][tex]\pi[/tex]100
25[tex]\pi[/tex]
5 oranges are bought for $4.00 and later sold at $0.10 each .find the loss percent.
Answer:
3.50 loss of percent
Step-by-step explanation:
loss
------- ×100
c.p.
Jack invested $2,900 in an account paying an interest rate of 8 % compounded
annually. Anthony invested $2,900 in an account paying an interest rate of 81%
compounded continuously. After 10 years, how much more money would Anthony
have in his account than Jack, to the nearest dollar?
I don’t understand how to solve.
Answer:$451
Step-by-step explanation:
Jeremiah conducts a survey and finds that as the first variable in his survey increases, the
second variable in his survey decreases. What type of association is there between the
two variables in his survey?
Answer:
Negative Association.
Step-by-step explanation:
Association between variables:
Association between variables can be classified as positive or negative.
Positive: Both move in the same direction, that is, either both increase or both decrease.
Negative: The variables move in opposite directions, one increases and the other decreases.
In this question:
As the first increases the second decreases, that is, they move in opposite directions, so it is a Negative Association.
2
What is the volume of the solid below?
16 m
15 m
17 m
3840 m
1360 m
2040 m
4080 m
Answer:
Is there supposed to be a picture?
What is the volume of the square pyramid ?
Answer:
Step-by-step explanation:
The answer is 4230
Solve for x then find each angle measure
Can someone help me pls
Answer:
70°
Step-by-step explanation:
If arc BY is 40, angle BAY is 20.
BAC is 90.
90-20 is 70.
m<YAC=70
WILL MARK BRAINLEST
This table shows a proportional relationship. x −4 −2 0 2 4
y −14 −7 0 7 14
Which ordered pair could also belong to this relationship?
A. (−6, 21) C. (−1, −3)
B. (1, 3) D (6, 2)
Answer:
D (6, 21)
Step-by-step explanation:
Since the ratio of the corresponding values of x and y given in the table is 2 : 7
So, 6/ 21 = 2/7 = 2: 7
Thus, D (6, 21) is the correct answer.
What is the fraction equivalent of 430%
NO LINKS. IF WRONG I WILL DELETE.
Answer:
The answer is 43/10
Hope this helps
The lateral surface area of a triangular prism is 120 in?. If the perimeter of the base is
20 inches, what is the height?
Answer:
6
Step-by-step explanation:
Which of the following is the equation of the line below?
Pls help
Answer:
x+y =-6 you can write this equation
is {(98,6),(99,0),(100,7)} a function?
Answer:
Yes , this is the function
Step-by-step explanation:
Because every domain has their only one image
show work , I’ll vote you brainliest if it is correct . Thank you
Answer:
Whats the question to this problem? Do you want to know if it's correct?
i can help! Just show your work? 1/2 times whatever X is + X+1 over whatever X is = 1/2 i can get the answer if you need it unless what i said helped! :) Your welcome!
Step-by-step explanation:
Have a great week! Hope i helped! Plz dont delete answer i promise i will help and it will be correct!
Help with math please, just 7 and 9. Please explain thanks.
Answer: #7 x=16 #9 x=27
Step-by-step explanation:
#7
This is an isosceles triangle, so the angles formed at the base of the congruent sides are equal.
5x-7=8x-55
48=3x
16=x
#9
This is an equilateral triangle (if 2 angles are 60, the third has to be 60 as well) so the sides are equal
7x+19=11x-89
108=4x
27=x
What is equivalent to x+y+x+y+3(y+5)?
Answer:
this simplified would be 2x+5y+15
Step-by-step explanation:
