Consider the following time series data.

Quarter	Year 1	Year 2	Year 3
1	4	6	7
2	2	3	6
3	3	5	6
4	5	7	8

(a)

Choose 1 the correct time series plot.

(i)	The line chart shows time series data. The horizontal axis is labeled Time Period and varies from Year 1 Quarter 1 to Year 3 Quarter 4. The vertical axis is labeled Time Series Value with values from 0 to 9. The chart is a collection of 12 points connected by linear segments. The points correspond to the following time series value for following time periods. 4 for Year 1, Quarter 1. 6 for Year 1, Quarter 2. 7 for Year 1, Quarter 3. 2 for Year 1, Quarter 4. 3 for Year 2, Quarter 1. 6 for Year 2, Quarter 2. 3 for Year 2, Quarter 3. 5 for Year 2, Quarter 4. 6 for Year 3, Quarter 1. 5 for Year 3, Quarter 2. 7 for Year 3, Quarter 3. 8 for Year 3, Quarter 4.	(ii)	The line chart shows time series data. The horizontal axis is labeled Time Period and varies from Year 1 Quarter 1 to Year 3 Quarter 4. The vertical axis is labeled Time Series Value with values from 0 to 9. The chart is a collection of 12 points connected by linear segments. The points correspond to the following time series value for following time periods. 8 for Year 1, Quarter 1. 6 for Year 1, Quarter 2. 6 for Year 1, Quarter 3. 7 for Year 1, Quarter 4. 7 for Year 2, Quarter 1. 5 for Year 2, Quarter 2. 3 for Year 2, Quarter 3. 6 for Year 2, Quarter 4. 5 for Year 3, Quarter 1. 3 for Year 3, Quarter 2. 2 for Year 3, Quarter 3. 4 for Year 3, Quarter 4.
(iii)	The line chart shows time series data. The horizontal axis is labeled Time Period and varies from Year 1 Quarter 1 to Year 3 Quarter 4. The vertical axis is labeled Time Series Value with values from 0 to 9. The chart is a collection of 12 points connected by linear segments. The points correspond to the following time series value for following time periods. 8 for Year 1, Quarter 1. 7 for Year 1, Quarter 2. 5 for Year 1, Quarter 3. 6 for Year 1, Quarter 4. 5 for Year 2, Quarter 1. 3 for Year 2, Quarter 2. 6 for Year 2, Quarter 3. 3 for Year 2, Quarter 4. 2 for Year 3, Quarter 1. 7 for Year 3, Quarter 2. 6 for Year 3, Quarter 3. 4 for Year 3, Quarter 4.	(iv)	The line chart shows time series data. The horizontal axis is labeled Time Period and varies from Year 1 Quarter 1 to Year 3 Quarter 4. The vertical axis is labeled Time Series Value with values from 0 to 9. The chart is a collection of 12 points connected by linear segments. The points correspond to the following time series value for following time periods. 4 for Year 1, Quarter 1. 2 for Year 1, Quarter 2. 3 for Year 1, Quarter 3. 5 for Year 1, Quarter 4. 6 for Year 2, Quarter 1. 3 for Year 2, Quarter 2. 5 for Year 2, Quarter 3. 7 for Year 2, Quarter 4. 7 for Year 3, Quarter 1. 6 for Year 3, Quarter 2. 6 for Year 3, Quarter 3. 8 for Year 3, Quarter 4.

- Select your answer -Plot (i)Plot (ii)Plot (iii)Plot (iv)Item 1

What type of pattern exists in the data?

- Select your answer -Positive trend pattern, no seasonalityHorizontal pattern, no seasonalityNegative trend pattern, no seasonalityPositive trend pattern, with seasonalityHorizontal pattern, with seasonalityItem 2

(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). If the constant is "1" it must be entered in the box. Do not round intermediate calculation.

Value = + Qtr1 + Qtr2 + Qtr3

(c)

Compute the quarterly forecasts for the 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

please answer them correctly