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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Please help with the corrected answers in details: The following time series shows the sales of a particular product over the past 12 months. Month Sales 1 105 2 135 3 120 4 105 5 90 6 120 7 145 8 140 9 100 10 80 11 100 12 110 What type of pattern exists in the data? The data appear to follow a trend pattern. The data appear to follow a horizontal pattern. The data appear to follow a cyclical pattern.The data appear to follow a seasonal pattern. (b) Use ? = 0.2 to compute the exponential smoothing values for the time series. (Round your answers to two decimal places.) Month t Time Series Value Yt Forecast Ft 1 105 2 135 3 120 4 105 5 90 6 120 7 145 8 140 9 100 10 80 11 100 12 110 (c) Use a smoothing constant of ? = 0.4 to compute the exponential smoothing forecasts. (Round your answers to two decimal places.) Month t Time Series Value Yt Forecast Ft 1 105 2 135…
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The values of Alabama building contracts (in millions of dollars) for a 12-month period follow. (a) Construct a time series plot. 400 350 300 250 200+ O 1 2 3 4 Month 5 6 What type of pattern exists in the data? 7 240 340 220 260 280 310 8 9 150- 100 The data appear to follow a seasonal pattern. The data appear to follow a cyclical pattern. The data appear to follow a trend pattern. O The data appear to follow a horizontal pattern. 10 50 0 11 12 01 2 400 350 300 250 200- 150 100 50 0 0 1 2 3 4 5 34 5 6 7 8 9 10 11 12 13 Month Time Series Value (in $ millions) 240 340 (b) Compare the three-month moving average forecast with the exponential smoothing forecast using a = 0.2. (Round your answers to two decimal places.) 220 260 280 310 210 320 250 6 320 7 Month 230 220 210 320 250 320 230 220 de 8 9 10 11 12 13 r 3-Month Moving Average Forecast (in $ millions) 400 350+ 300 250 200+ 150- 100+ 50+ 0 01010101000 400 T 350 300 0 1 2 3 4 250+ 200+ 150+ 100+ α = 0.2 Forecast (in $ millions) 50…

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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.