- A Statistical Program Is Recommended A Company That Sells Musical Instruments Has Been In Business For Five Years Duri 1 (72.89 KiB) Viewed 32 times
Question B and C
A statistical program is recommended. A company that sells musical instruments has been in business for five years. During that time, sales of planos increased from 13 units in the first year to 76 units in the most recent year. The firm's owner wants to develop a forecast of plano sales for the coming year. The quarterly sales data follow. 1 N 3 4 Year Quarter 1 Quarter 2 पं 1 5 2 3 4 5 Year Quarter Quarter Sales 1 2 3 4 1 2 3 4 1 2 3 4 1 2 (a) Deseasonalize the data. [Round your answers to four decimal places.) Adjusted Deseasonalized Seasonal Index Sales 3 4 1 2 5 3 7 4 11 12 18 5 2 forecast for quarter 3 forecast for quarter 1 5 7 4 4 14 11 3 5 16 12 9 7 22 18 10 13 2 35 4 3 9 10 1.3295 0.5021 0.4855 1.5825 1.3295 0.5021 0.4855 1.5825 1.3295 0.6021 0.1855 1.5828 1.3295 0.5021 0.1856 1.5828 1.3295 0.6021 0.4855 Quarter 3 1.5828 1 4 5 7 13 Quarter 4 1 5 1 14 16 22 35 Total Yearly Salus 13 29 35 50 75 Use the deseasonalized time series to identify the trend. (Let t - 1 denote the time series value in quarter 1 of year 1; t-2 denote the time series value in quarter 2 of year 1; and r- 20 derate the time series value in quarter 4 of year 5. Round your numerical values to two decimal places.) (b) Use the results of part (a) to develop a quarterly forecast for next year based on trend. (Round your answers to two decimal places.) forecast for quarter 1 forecast for quarter 2 (c) Use the acjusted seasonal indexes given in part (a) to adjust the forecasts developed in par: (b) to account for the effect of sonson, (Round your answers to ona decimal place.)
1 2 3 + 4 5 5 Year Quarter Sales Seasonal Index 1 2 3 4 1 Submit Answer (a) Deseasoralize the data. (Round your answers to four decimal places.) Adjusted Deseasonalized Sales 2 3 4 1 2 3 4 1 2 3 4 1 2 11 3 12 4 18 5 forecast for quarter 3 forecast for quarter 4 2 Need Help? Read It 1 5 7 4 4 14 11 3 5 16 12 9 7 22 18 10 3 13 9 35 10 1.3295 0.6021 0.4856 1.5828 1.3295 0.4856 ( D 1.5828 r 7 1.3205 r 0.6021 r D 1.5828 1.3295 0.6021 1 D 0.4856 F 7 7 1.5828 S 13 0.6021 1 1.3295 1 0.4856 C D 0.4856 1.5828 0.6021 L 16 22 35 35 Use the deseasona ized time series to identify the trend. (Lett-1 denote the time series value in quarter 1 of year 1, -2 denote the time series va ue in quarter 2 of year 1; and t20 denate the time seres value in quarter 4 of year 5. Round your numerical values to two decimal places.) T₂- 50 (b) Use the results of part (a) to develop a quarterly forecast for next year based on brend. (Round your answers to two decimal places) forecast for quarter 1 forecast for quarter 2 forecast for quarter 3 forecast for quarter 4 76 (c) Use the adjusted seasonal indexes given in cart (a) to adjust the forecasts developed in part (b) to account for the effect of season. (Round your answers to ore decimal place.) forecast for quarter 1 forecast for quarter 2