Consider the following time series data.QuarterYear 1Year 2Year 318.25346789.(a) Construct a time series plot. What type of pattern exists in the data?O The time series plot shows a linear trend and no seasonal pattern in the data.O The time series plot shows a horizontal pattern, but there is also a seasonal pattern in the data.O The time series plot showshorizontal pattern and no seasonal pattern in the data.The time series plot showslinear trend and a seasonal pattern in the data.(b) Use a multiple regression model with dummy variables as follows to develop an equation to account for seasonal effects in thedata. (Round your numerical values to three decimal places.)x, = 1 if quarter 1, 0 otherwise; x, = 1 if quarter 2, 0 otherwise; x, = 1 if quarter 3, 0 otherwiseŷ =(c) Compute the quarterly forecasts for the next year based on the model you developed in part (b). (Round your answers to twodecimal places.)quarter 1 forecastquarter 2 forecastquarter 3 forecastquarter 4 forecast(d) Use a multiple regression model to develop an equationvariables you developed in part (b) to capture seasonal effects and create a variable t such that t = 1 for quarter 1 in year 1,account for trend and seasonal effects in the data. Use the dummyt = 2 for quarter 2 in year 1, ... t = 12 for quarter 4 in year 3. (Round your numerical values to three decimal places.)Ý =(e) Compute the quarterly forecasts for the next year based on the model you developed in part (d). (Round your answers to twodecimal places.)quarter 1 forecastquarter 2 forecastquarter 3 forecastquarter 4 forecast

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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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Consider the following time series data. Quarter Year 1 Year 2 Year 3 1 5 7 8 2 5 4. 6 4 6 8 (a) Construct a time series plot. What type of pattern exists in the data? The time series plot shows a linear trend and no seasonal pattern in the d 3.