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ivann1987 [24]
3 years ago
15

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?
Mathematics
1 answer:
fenix001 [56]3 years ago
6 0

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

Download xlsx
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Solve each system of equations by writing a new system that eliminates one of the variables.
Rufina [12.5K]

Answer:

x=33\\y=-41

Step-by-step explanation:

Let:

2x+y=25\hspace{5}(1)\\and\\4x+3y=9\hspace{5}(2)

We need to eliminate one of the variables, so let's use elimination method. First multiply (1) by 2

2*(1)\equiv\hspace{5}4x+2y=50

Now subtract (2) from 2*(1) in order to eliminate x:

2*(1)-(2)\\4x-4x+2y-3y=50-9\\-y=41

Solving for y:

Multiplying both sides by -1  

y=-41

Finally, replacing the value of y in (1)

2x-41=25

Solving for x:

add 41 to both sides:

2x=66

Multiply both sides by 1/2:

x=\frac{66}{2} =33

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Ben has 18 photos to put in a photo album. He can put 4 in each page if he fills 4 pages, how many photos are on the fifth page?
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2 years ago
If F(x)=x^3-2x^2, which expression is equivalent to f(I) -2+i,-2-i,2+i,2-i
Romashka-Z-Leto [24]

Hello from MrBillDoesMath!

Answer:

2 - i

Discussion:

Evaluate F(x) = x^3 - 2 x^2 when x = i.

i^2 = -1 for i^3 = i ( i^2) = i (-1) = -i

So F(i) =  (i)^3 - 2 (i)^2                      

          =   -i     - 2(-1)

          = -i      +  2

          =  2      -  i


which is the last answer shown


Thank you,

MrB

6 0
3 years ago
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