Question

In: Math

he following data are for calculator sales in units at an electronics store over the past...

he following data are for calculator sales in units at an electronics store over the past nine​ weeks:

                                                                            

Week

Sales

Week

Sales

1

4444

6

5757

2

4545

7

6565

3

4646

8

5555

4

5151

9

6464

5

5757

Use trend projection with regression to forecast sales for weeks

10minus−13.

What are the error measures​ (CFE, MSE,

sigmaσ​,

​MAD, and​ MAPE) for this forecasting​ procedure? How about

r squaredr2​?

Obtain the trend projection with regression forecast for weeks

10minus−13.

​(Enter your responses rounded to two decimal​ places.)

Period

​Forecast, Bold Upper F Subscript tFt

10

nothing

11

nothing

12

nothing

13

nothing

Obtain the error measures.

CFE: MSE:   sigmaσ: MAD: MAPE:

Find the coefficient of determination (R squared)

R squared =

Solutions

Expert Solution

Trend projection with regression to forecast sales for weeks =

t yt tyt t^2
1 4444 4444 1
2 4545 9090 4
3 4646 13938 9
4 5151 20604 16
5 5757 28785 25
6 5757 34542 36
7 6565 45955 49
8 5555 44440 64
9 6464 58176 81
total=45 48884 259974 285

b1=259.233333

=5431.5555

=5

b0=5431.5555 - 259.233333*5

b0=4135.38884

Trend Equation=

T10=6727.72184

By substituting the values, we get,

T11=6986.95514

T12= 7246.18844

T13=7505.42174

By using minitab software ,

Trend Analysis for sales

Data sales
Length 9
NMissing 0


Fitted Trend Equation=

Yt = 4135 + 259.2×t


Accuracy Measures=

MAPE 4
MAD 235
MSD 111405


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