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Forecasts and actual sales of MP3 players at Just Say Music are as follows: Mont

ID: 419699 • Letter: F

Question

Forecasts and actual sales of MP3 players at Just Say Musicare as follows:

Month                   Forecast    Actual Sales

March                    150            170

April                      220            229

May                       205            192

June                       256            241

July                       250            238

August                  260            210

September             270            225

October                 280            179

a. Plot the data and show the plot using Excel, Word or PowerPoint.  

b. Provide insights about the time series

c. What is the forecast for November, using a two-period moving average?

Note also that the forecast values provided are irrelevant to computing these moving average forecasts.

d. What is the forecast for November, using a three-period moving average?

e. Compute MSE for the two- and three-period moving average models and compare your results.

Note that we can only compute these measures through October because we need to know the actual sales.

PLEASE BE VERY DETAILED WHEN EXPLAINING AND SHOW ALL STEPS!! THANK YOU SO MUCH!!

I got answers A-D but I have no idea how to get the answers for Part E. I do not know to do it! Can someone please explain this to me in detail, and walk me through the whole process thanks!

a)

b) Looking at the time series, we obseve that the actual sales is less than the forecasted sales a majority of the times.

________________________________________________________________________________

Forecast for november using a two-period moving average = 202

___________________________________________________________________________

Forecast for November, using a three-period moving average = 204.67

3001 250 200 150 100 Forecast Actual sales 50

Explanation / Answer

E)

MONTH

FORECAST(F)

ACTUAL SALES(S)

SQARE OF DEFFERENCE ( Fi – Si )^2

MARCH

150

170

400

APRIL

220

229

81

MAY

205

192

169

JUNE

256

241

225

JULY

250

238

144

AUGUST

260

210

2500

SEPTEMBER

270

225

2025

OCTOBER

280

179

10201

AVERAGE OF SQUARE OF DEFERENCE = 1968.125

MEAN SQUARE ERROR = (? ( Fi – Si )^2) / N

WHERE F = FORECASTED VALUE

              S = ACTUAL SALES

          N = NUMBER OF PERIODS

THEREFORE MSE = 1968.125

MONTH

FORECAST(F)

ACTUAL SALES(S)

SQARE OF DEFFERENCE ( Fi – Si )^2

MARCH

150

170

400

APRIL

220

229

81

MAY

205

192

169

JUNE

256

241

225

JULY

250

238

144

AUGUST

260

210

2500

SEPTEMBER

270

225

2025

OCTOBER

280

179

10201

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