Consider the following time series: QuarterYear 1Year 2Year 31666357248405035961544737667 (a)Choose a time series plot. (i) (ii) (iii) (iv) What type of pattern exists in the data? Is there an indication of a seasonal pattern? (b)Use a multiple linear regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data: Qtr1 = 1 if quarter 1, 0 otherwise; Qtr2 = 1 if quarter 2, 0 otherwise; Qtr3 = 1 if quarter 3, 0 otherwise. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank (Example: -300). ŷ = ?? + ?? Qtr1 +?? Qtr2 + ?? Qtr3(c)Compute the quarterly forecasts for next year. YearQuarterFt41 42 43 44 (a) Choose a time series plot.(i)(ii)(iii)(iv)yt5yt100806040200 +100806040200100806040200100806040201112 3 4 5 6 7 8 9Period (t)2 3 4 56 7 8Period (t)0 O*+|++++910 11 121011 122 3 4 5 6 7 8 9 10 11 12Period (t) (b(cWhat type of pattern exists in the data? Is there an indication of a seasonal pattern?- Select your answer -Positive trend pattern, no seasonalityHorizontal pattern, no seasonalityNegative trend pattern, no seasonalityPositive trend pattern, with seasonalityHorizontal pattern, with seasonality4412my variables as follows to develop an equation to accouse a minus sign even if there is a + sign before the btr2 +Qtr3

Quarter Year 1 Year 2 Year 3 1 66 63 57 2 48 40 50 3 59 61 54 4 73 76 67

Answered: Consider the following time series:…

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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Question

Consider the following time series:

Quarter	Year 1	Year 2	Year 3
1	66	63	57
2	48	40	50
3	59	61	54
4	73	76	67

(a)

Choose a time series plot.

(i)
(ii)
(iii)
(iv)

What type of pattern exists in the data? Is there an indication of a seasonal pattern?

(b)

Use a multiple linear regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data: Qtr1 = 1 if quarter 1, 0 otherwise; Qtr2 = 1 if quarter 2, 0 otherwise; Qtr3 = 1 if quarter 3, 0 otherwise. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank (Example: -300).

ŷ = ?? + ?? Qtr1 +?? Qtr2 + ?? Qtr3

(c)

Compute the quarterly forecasts for next year.