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Value =________ +_________ Qtr1 t + _____________ Qtr2 t + __________ Qtr3 t Con

ID: 3168332 • Letter: V

Question

Value =________ +_________ Qtr1t + _____________ Qtr2t + __________ Qtr3t

Consider the following time series data.         

8

(b) Use a multiple 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. 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 =________ +_________ Qtr1t + _____________ Qtr2t + __________ Qtr3t

(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 =_____   + ________ Qtr1t+ _______  + Qtr2t _______+ Qtr3t _________+ t QUESTION BELOW------------

Explanation / Answer

Step 1 of 2

In this problem, we have to find find the following value.

Step 2 of 2

Consider the following data.

Year Quarter1 Sales

1 1 4

2 2

3 3

4 5

2 1 6

2 3

3 5

4 7

3 1 7  

2 6

3 6

4 8

By uising the formula

y=b0+b1qtr1+b2qtr2+b3qtr.

We get

a) Value=5.667Qtr1-3Qtr2-2Qtr3