Question

A convenience store recently started to carry a new brand of soft drink. Management is interested in estimating future sales volume to determine whether it should continue to carry the new brand or replace it with another brand. The following table provides the number of cans sold per week. Use both the trend projection with regression and the exponential smoothing (let α = 0.4 with an initial forecast for week 1 of 617 methods to forecast demand for week 13. Compare these methods by using the mean absolute deviation and mean absolute percent error performance criteria. Does your analysis suggest that sales are trending and if so, by how much? Period Sales 10 12 617 617 648 739 659 623 742 704 724 715 668740 (i) Obtain the trend projection with regression forecast. The forecast for week 13 is 739. (Enter your response rounded to the nearest whole number) Specify the mean absolute deviation (MAD) and mean absolute percent error (MAPE). (Enter your responses rounded to two decimal places.) MAD MAPE 28.56 4.18 (ii) Obtain the exponential smoothing forecast The forecast for week 13 is 712. (Enter your response rounded to the nearest whole number.) Specify the mean absolute deviation (MAD) and mean absolute percent error (MAPE). (Enter your responses as real numbers rounded to two decimal places.) MAD MAPE 36.44 5.16% Based on MAD, the best method is trend projection with regression Based on MAPE, the best method is trend projection with regressionAnswer all parts please :)

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Trend projection with regression forecast:

Get & Transform Data Queries & Connections Data Types Sort & Filter Regression 1 Period Sales Input i 617 617 648 739 659 6 i 623 I 742 8704 724 715 12 11 668 12 : 740 OK Input Y Range: SBS2:SBS13 SAS2:SAS13 Constant is Zero 2 Cancel 4 Input X Range: 4 Help Labels □Confidence Level: 95 % Output options O Qutput Range: O New Worksheet Ply ONew Workbook Residuals 10 Residuals LI Standardized Residuals Residual Plots □ Line Fit Plots 13 Normal Probability 16 17 18 Normal Probability Plots

Regression Statistics 4 Multiple R 5 R Square 6 Adjusted R Square 0.325509774 7 Standard Error 8 Observations 0.621954232 0.386827067 40.95153199 12 10 ANOVA MS gnificance F 12 Regression 13 Residual 14 Total 1 10579.72 10579.72 6.308613 0.030823 10 16770.28 1677.028 11 27350 Coefficients and ard Err t Stat P-value Lower 95%Up er 95%ower 95.090 er 95.0% 627.0909091 25.20393 24.88068 2.52E-10 570.9331 683.2488 570.9331 683.2488 8.601398601 3.424539 2.511695 0.030823 0.97105 16.23175 0.97105 16.23175 17 Intercept 18 X Variable 1 19 20 The equation is 21 Sales 627.091+8.6* Period

17 Period Sales Absolute deviation 617 617 648 739 659 623 742 704 724 715 668 740 Forecast -627.091+8.6 A2 ABS(B2-C2 -627.091+8.6 A3 ABS(B3-C3 -627.091+8.6 A FABS(B4-C4 -627.091+8.6 A5 ABS(B5-CS -627.091+8.6 A6 FABS(B6-C6 -627.091+8.6 A7 ABS(B7 -627.091+8.6 A8 FABS(B8-C8 -627.091+8.6 A9 ABS(B9-C9 -627.091+8.6 A10 FABS(B10-C10) -627.091+8.6 A11 ABS(B11-C11 -627.091+8.6 A12 FABS(B12-C12) 627.091+8.6*A13 EABS (B13-C13 -627.091+8.6 FA14 Absolute percentage error -D2/B2 D3/B3 D4/B4 -D5/B5 -D6/B6 D7/B7 -D8/B8 D9/B9 D10/B10 -D11/B11 D12/B12 D13/B13 8 7 10 9 11 10 12 11 13 12 14 13 15 16 17 18 19 20 MAD MAPE AVERAGE(D2:D13) AVERAGE(E2:E13

2 e3400-87-2081 159 89-39 874 a-12 5 pe 310 e77 9932 67 A ri 2 3 4 5 6 7 8 9 10 11-12 12345 67 8901 23-456789

>> Exponential

Period Sales Absolute deviation 617 617 648 739 б59 623 742 704 724 715 668 740 Forecast 617 C2+0.4 (B2-C2) ABS(B3-C3) C3+0.4*(83-C3) ABS(B4-CA -C4+0.4 (B4-C4 -С5+0.4( B5-C5) -С6+0.4*( B6-С6) -C7+0.4 (B7-C -C8+0.4 (B8-C8 C9+0.4 (B9-C9 C10+0.4*(B10-C10) FABS(B11-C11) Absolute percentage error D2/B2 D3/B3 D4/B4 D5/B5 D6/B6 -D7/B7 D8/B8 D9/B9 D10/B10 -D11/B11 D12/B12 D13/B13 ABS(B2-C2 ABS(B5-C5 ABS(B6-C6 ABS(B7 ABS(B8-C8 ABS(B9-C9 FABS(B10-C10 6 5 10 9 11 10 12 11 13 12 14 13 15 16 17 18 C11+0.4*(B11-C11) EABS(B12-C12 -C12+0.4 (B12-C12) FABS(B13-C13 -C13+0.4 (B13-C13 AVERAGE(D2:D13) AVERAGE(E2:E13 MAD MAPE44-47 781 e00|44272 24-66 6 0 917 2 pe t-00-00-00 40 24 54 73 64 58 75 379 9932 2 67 e77 A ri-23-456789 10 11 12 0123-456789 12345 6789

Both MAD and MAPE are lower for trend projection with regression. It is the best method in both the cases

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