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istical prog A certain company has been an authorized dealer for C&D marine radios for the past seven years. Suppose the quarterly sales values for the seven years of historical data are as follows. 1 2 program is re 3 4 5 Year Quarter 1 Quarter 2 Quarter 3 Quarter 4 6 1 2 3 4 5 6 7 1 2 3 4 1 2 3 Adjusted Year Quarter Sales Seasonal Index 4 1 2 3 4 1 2 3 ** 4 1 AWN 2 3 (a) Deseasonalize the data. (Round your answers to three decimal places.) 4 1 2 7 3 10 4 15 20 23 25 28 7 15 10 4 10 18 15 7 15 26 23 12 20 28 25 18 23 34 28 21 25 36 15 30 18 20 26 28 34 36 40 0.924 1.353 1.108 0.616 0.924 1.353 1.108 0.616 0.924 1.108 0.616 0.924 1.353 1.108 0.616 0.924 1.353 1.108 0.616 0.924 1.353 C 1.353 10 1.108 15 0.616 23 25 28 30 35 Deseasonalized Sales 6.076 13.867 C C C x J D D D 4 D 7 12 18 21 20 27 Total Yearly Sales 36 50 76 91 106 111 130

istical prog A certain company has been an authorized dealer for C&D marine radios for the past seven years. Suppose the quarterly sales values for the seven years of historical data are as follows. 1 2 program is re 3 4 5 Year Quarter 1 Quarter 2 Quarter 3 Quarter 4 6 1 2 3 4 5 6 7 1 2 3 4 1 2 3 Adjusted Year Quarter Sales Seasonal Index 4 1 2 3 4 1 2 3 ** 4 1 AWN 2 3 (a) Deseasonalize the data. (Round your answers to three decimal places.) 4 1 2 7 3 10 4 15 20 23 25 28 7 15 10 4 10 18 15 7 15 26 23 12 20 28 25 18 23 34 28 21 25 36 15 30 18 20 26 28 34 36 40 0.924 1.353 1.108 0.616 0.924 1.353 1.108 0.616 0.924 1.108 0.616 0.924 1.353 1.108 0.616 0.924 1.353 1.108 0.616 0.924 1.353 C 1.353 10 1.108 15 0.616 23 25 28 30 35 Deseasonalized Sales 6.076 13.867 C C C x J D D D 4 D 7 12 18 21 20 27 Total Yearly Sales 36 50 76 91 106 111 130

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A statistical program is recommended. A certain company has been an authorized dealer for C&D marine radios for the past seven years. Suppose the quarterly sales values for the seven years of historical data are as follows. Year Quarter 1 Quarter 2 Quarter 3 1 2 3 4 5 6 7 1 2 3 4 1 2 Year Quarter Sales 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 7 4 10 1 15 20 23 25 (a) Deseasonalize the data. (Round your answers to three decimal places.) 28 7 15 10 4 10 18 15 7 15 26 23 12 20 28 25 18 23 34 28 21 25 36 30 20 15 28 18 26 28 34 36 40 Adjusted Seasonal Index 0.924 1.353 1.108 0.616 0.924 1.353 1.108 0.616 0.924 1.353 1.108 0.616 0.924 1.353 1.108 0.616 0.924 1.353 1.108 0.616 0.924 1.353 1.108 0.616 10 0.924 15 23 25 28 30 35 Quarter 4 Deseasonalized Sales 6.076 X 13.867 x 4 ] D J 1 7 12 18 21 20 27 Total Yearly Sales 36 50 76 91 106 111 130
Transcribed Image Text:A statistical program is recommended. A certain company has been an authorized dealer for C&D marine radios for the past seven years. Suppose the quarterly sales values for the seven years of historical data are as follows. Year Quarter 1 Quarter 2 Quarter 3 1 2 3 4 5 6 7 1 2 3 4 1 2 Year Quarter Sales 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 7 4 10 1 15 20 23 25 (a) Deseasonalize the data. (Round your answers to three decimal places.) 28 7 15 10 4 10 18 15 7 15 26 23 12 20 28 25 18 23 34 28 21 25 36 30 20 15 28 18 26 28 34 36 40 Adjusted Seasonal Index 0.924 1.353 1.108 0.616 0.924 1.353 1.108 0.616 0.924 1.353 1.108 0.616 0.924 1.353 1.108 0.616 0.924 1.353 1.108 0.616 0.924 1.353 1.108 0.616 10 0.924 15 23 25 28 30 35 Quarter 4 Deseasonalized Sales 6.076 X 13.867 x 4 ] D J 1 7 12 18 21 20 27 Total Yearly Sales 36 50 76 91 106 111 130
1 2 3 4 1 2 3 4 25 36 30 20 28 40 35 27 0.924 1.353 1.108 0.616 0.924 1.353 1.108 0.616 1000000 Compute the linear trend regression equation for the deseasonalized data. (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 t = 28 denote the time series value in quarter 4 of year 7. Round your numerical values to two decimal places.) T₁ = (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 forecast for quarter 3 forecast for quarter 4 (c) Use the adjusted seasonal indexes given in part (a) to adjust the forecasts developed in part (b) to account for the effect of season. (Round your answers to one decimal place.) forecast for quarter 1 forecast for quarter 2 forecast for quarter 3 forecast for quarter 4
Transcribed Image Text:1 2 3 4 1 2 3 4 25 36 30 20 28 40 35 27 0.924 1.353 1.108 0.616 0.924 1.353 1.108 0.616 1000000 Compute the linear trend regression equation for the deseasonalized data. (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 t = 28 denote the time series value in quarter 4 of year 7. Round your numerical values to two decimal places.) T₁ = (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 forecast for quarter 3 forecast for quarter 4 (c) Use the adjusted seasonal indexes given in part (a) to adjust the forecasts developed in part (b) to account for the effect of season. (Round your answers to one decimal place.) forecast for quarter 1 forecast for quarter 2 forecast for quarter 3 forecast for quarter 4
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