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Consider the following time series data. Quarter Year 1 Year 2 Year 3 1 6 7 2 3 6 4 5 7 8 (a) Choose the correct time series plot. (i) (ii) 6. 4. 3.

Consider the following time series data. Quarter Year 1 Year 2 Year 3 1 6 7 2 3 6 4 5 7 8 (a) Choose the correct time series plot. (i) (ii) 6. 4. 3.

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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Answer A through E

Consider the following time series data. Quarter Year 1 Year 2 Year 3 1 4 6 7 2 2 3 6 3 3 5 4 5 7 8 (a) Choose the correct time series plot. (i) (ii) 8. 6. Year 2. Quarter 1 Quarter 2 Quarter 3 Quarter a Quarter 1 Quarter 2 Quarter 3 Quarter 4 Quarter 1 Quarter 2 Quarter3 Quarter 4 Year 1. Year 1. Year 1. Year 1. Year 1. Year 1. Year 2 Year 2, Year 3, Year 1. Year 2 Year 2, Year 2, Year 3, Year 3, Vear 3. Year 3, Year 3, Quarter 1 Quarter 2 Quarter 3 Quarter 4 Quarter 1 Quarter 2 Quarter 3 Quarter 4 Quarter 1 Quarter 2 Quarter 3 Quarter 4 Year 1. Year 2. Year 2, Year 3, Vear 3, , Time Period Time Period (iii) (iv) 8. Year 2, Quarter 1 Quarter 2 Quarter 3 Quarter a Quarter 1 Quarter 2 Quarter 3 Quarter 4 Quarter 1 Quarter 2 Quarter 3 Quarter 4 Year 1. Year 1. Year 1. Year 1, Year 2. Year 2. Vear 2, Year 3. Year 3, Year 3. Year 3. Year 1. Year 2, Year 2, Quarter 1 Quarter 2 Quarter 3 Quarter 4 Quarter 1 Quarter 2 Quarter 3 Quarter 4 Quarter i Quarter 2 Quarter 3 Quarter 4 Year 1. Year 1. Year 1. Year 2. Year 2, Year 3, Year 3, Year 3, Year 3, Time Period Time Period Select your answer - + What type of pattern exists in the data? Select your answer -
Transcribed Image Text:Consider the following time series data. Quarter Year 1 Year 2 Year 3 1 4 6 7 2 2 3 6 3 3 5 4 5 7 8 (a) Choose the correct time series plot. (i) (ii) 8. 6. Year 2. Quarter 1 Quarter 2 Quarter 3 Quarter a Quarter 1 Quarter 2 Quarter 3 Quarter 4 Quarter 1 Quarter 2 Quarter3 Quarter 4 Year 1. Year 1. Year 1. Year 1. Year 1. Year 1. Year 2 Year 2, Year 3, Year 1. Year 2 Year 2, Year 2, Year 3, Year 3, Vear 3. Year 3, Year 3, Quarter 1 Quarter 2 Quarter 3 Quarter 4 Quarter 1 Quarter 2 Quarter 3 Quarter 4 Quarter 1 Quarter 2 Quarter 3 Quarter 4 Year 1. Year 2. Year 2, Year 3, Vear 3, , Time Period Time Period (iii) (iv) 8. Year 2, Quarter 1 Quarter 2 Quarter 3 Quarter a Quarter 1 Quarter 2 Quarter 3 Quarter 4 Quarter 1 Quarter 2 Quarter 3 Quarter 4 Year 1. Year 1. Year 1. Year 1, Year 2. Year 2. Vear 2, Year 3. Year 3, Year 3. Year 3. Year 1. Year 2, Year 2, Quarter 1 Quarter 2 Quarter 3 Quarter 4 Quarter 1 Quarter 2 Quarter 3 Quarter 4 Quarter i Quarter 2 Quarter 3 Quarter 4 Year 1. Year 1. Year 1. Year 2. Year 2, Year 3, Year 3, Year 3, Year 3, Time Period Time Period Select your answer - + What type of pattern exists in the data? Select your answer -
(b) Use a multiple regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. Qtrl = 1 if Quarter 1, 0 otherwise; Qtr2 = 1 if Quarter 2, 0 otherwise; Qtr3 = 1 if Quarter 3, 0 otherwise. If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a sign before the blank. (Example: -300) If the constant is "1" it must be entered in the box. Do not round intermediate calculation. Value = Qtr, Qtr, + Qtr3 (c) Compute the quarterly forecasts for next year based on the model you developed in part (b). If required, round your answers to three decimal places. Do not round intermediate calculation. Quarter 1 forecast Quarter 2 forecast Quarter 3 forecast Quarter 4 forecast (d) Use a multiple regression model to develop an equation to account for trend and seasonal effects in the data. Use the dummy variables you developed in part (b) to capture seasonal effects and create a variable t such that t = 1 for Quarter 1 in Year 1, t = 2 for Quarter 2 in Year 1,.. t = 12 for Quarter 4 in Year 3. If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) Value = Qtr; + Qtr, + Qtr, + (e) Compute the quarterly forecasts for next year based on the model you developed in part (d). Do not round your interim computations and round your final answer to three decimal places. Quarter 1 forecast Quarter 2 forecast Quarter 3 forecast Quarter 4 forecast
Transcribed Image Text:(b) Use a multiple regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. Qtrl = 1 if Quarter 1, 0 otherwise; Qtr2 = 1 if Quarter 2, 0 otherwise; Qtr3 = 1 if Quarter 3, 0 otherwise. If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a sign before the blank. (Example: -300) If the constant is "1" it must be entered in the box. Do not round intermediate calculation. Value = Qtr, Qtr, + Qtr3 (c) Compute the quarterly forecasts for next year based on the model you developed in part (b). If required, round your answers to three decimal places. Do not round intermediate calculation. Quarter 1 forecast Quarter 2 forecast Quarter 3 forecast Quarter 4 forecast (d) Use a multiple regression model to develop an equation to account for trend and seasonal effects in the data. Use the dummy variables you developed in part (b) to capture seasonal effects and create a variable t such that t = 1 for Quarter 1 in Year 1, t = 2 for Quarter 2 in Year 1,.. t = 12 for Quarter 4 in Year 3. If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) Value = Qtr; + Qtr, + Qtr, + (e) Compute the quarterly forecasts for next year based on the model you developed in part (d). Do not round your interim computations and round your final answer to three decimal places. Quarter 1 forecast Quarter 2 forecast Quarter 3 forecast Quarter 4 forecast
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