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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

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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) 100 80 60 40 20 0 - 6 7 8 Period(t) 10 11 12. (ii) 100 B0 60 y 40 20 N Period(t) 10 11 12 100 1 2 3 6 7 8 Period(t) 9 10 11 12 - Select your answer What type of pattern exists in the data? Is there an indication of a seasonal pattern? - Select your answer - (b) Use a multiple linear regression model with dummy variables as follows to develop an equation to account for seasonal quarter 1, 0 otherwise; Qtr2 = 1 if quarter 2, 0 otherwise; Qtr3 = 1 if agarter 3, 0 otherwise. For subtractive or negative there is a + sign before the blank. (Example: -300) + Qtri Qtr2 Qtr3 (c) Compute the quarterly forecasts for next year. Year Quarter Ft 4 1 4 2 4 3 4 4 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) 100 80 60 40 20 0 - 6 7 8 Period(t) 10 11 12. (ii) 100 B0 60 y 40 20 N Period(t) 10 11 12 100 1 2 3 6 7 8 Period(t) 9 10 11 12 - Select your answer What type of pattern exists in the data? Is there an indication of a seasonal pattern? - Select your answer - (b) Use a multiple linear regression model with dummy variables as follows to develop an equation to account for seasonal quarter 1, 0 otherwise; Qtr2 = 1 if quarter 2, 0 otherwise; Qtr3 = 1 if agarter 3, 0 otherwise. For subtractive or negative there is a + sign before the blank. (Example: -300) + Qtri Qtr2 Qtr3 (c) Compute the quarterly forecasts for next year. Year Quarter Ft 4 1 4 2 4 3 4 4

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