Consider the following time series data.Quarter Year 1OTime Series Value161514-1312111019-8.7234(a) Construct a time series plot.11910121 2 3 4Year 1quarter 3 forecastquarter 4 forecastYear 213101212.710.711.713.714Year 31 2 3 4Year 2Year/QuarterX141313XXXx151 2 3 4Year 316151413What type of pattern exists in the data?The time series plot shows a horizontal pattern and no seasonal pattern in the data.The time series plot shows a linear trend and a seasonal pattern in the data.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.109871 2 3 4Year 1(c) Compute the quarterly forecasts for next year. (Round your answers to one decimal place.)quarter 1 forecastquarter 2 forecast1 2 3 4Year 2Year/Quarter1 2 3 4Year 3161514-131211-1098+7(b) Use the following dummy variables to develop an estimated regression equation to account for any seasonal and linear trend effects in the data. (Round your numerical values to two decimal places.)x₁ = 1 if quarter 1, 0 otherwise; x₂ = 1 if quarter 2, 0 otherwise; x3 = 1 if quarter 3, 0 otherwise13.671x₁3x2 - 2x31 2 3 4Year 11 2 3 4Year 2Year/Quarter1 2 3 4Year 31615-14-13-121110-9.8+7m1 2 3 4Year 2Year/Quarter↓1 2 3 4Year 1L1 2 3 4Year 3Ⓡ

Given information: Let t=1 for quarter 1 of year 1, t=2 for quarter 2 of year 1,.....t=12 for…

Answered: Consider the following time series…

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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An annual marathon covers a route that has a distance of approximately 26 miles. Winning times for this marathon are all over 2 hours. The following data are the minutes over 2 hours for the winning male runners over two periods of 20 years each. Earlier Period 6 22 23 14 15 20 15 18 7 18 15 10 10 14 16 12 23 13 16 16 Recent Period 8 8 7 9 9 10 8 14 8 11 14 7 9 9 10 7 7 8 9 9 (a) Make a stem-and-leaf display for the minutes over 2 hours of the winning times for the earlier period. Use two lines per stem. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks Minutes Beyond 2 Hours Earlier Period 0 NONE 0 6,7 1 ? 1 ? 2 0,2,3,3 2 NONE (b) Make a stem-and-leaf display for the minutes over 2 hours of the winning times for the recent period. Use two lines per stem. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks.) Minutes Beyond 2 HoursRecent Period…
Centerville Bikes and Stuff (CBS) sells motorcycles and accessories. The number of helmets sold by CBS per week for the past six weeks follows. Week 1 2 3 4 5 6 Value 17 12 14 10 16 13 (a) Construct a time series plot. A graph has a horizontal axis labeled "Week" with values from 0 to 7 and a vertical axis labeled "Time Series Value" with values from 0 to 20. The time series plot contains a series of 6 points connected by line segments. The segments and the approximate points they connect are as follows. The segments start at (1, 17), go down and right to (2, 12), go up and right to (3, 14), go down and right to (4, 10), go up and right to (5, 16), and go down and right to stop at (6, 13). A graph has a horizontal axis labeled "Week" with values from 0 to 7 and a vertical axis labeled "Time Series Value" with values from 0 to 20. The time series plot contains a series of 6 points connected by line segments. The segments and the approximate points they connect…
Q. 22
A college alumni Organization sent a survey to all recent graduates to ask their annual income. 20% of the alumni responded, and their mean annual income was $40,000 with a standard deviation of $10,000. Explain why these data should not be used to construct a confidence interval for the mean annual income of all recent graduates.
The following investment requires a table factor for a period beyond the table. Calculate the new table factor and the present value (principal). Use Table 11-2. Round your new table factor to five decimal places and your present value to the nearest cent. Term of Compound Amount Investment (years) $34,000 34 Nominal Rate (%) 7 Interest Compounded annually New Table Factor tA Present Value
An annual marathon covers a route that has a distance of approximately 26 miles. Winning times for this marathon are all over 2 hours. The following data are the minutes over 2 hours for the winning male runners over two periods of 20 years each. Earlier Period 10 8 14 20 16 17 21 21 18 1218 13 16 24 17 15 15 16 19 6 Recent Period 12 10 8 9 9 9 8 8 8 109 9 9 7 7 13 13 8 7 7 (a) Make a stem-and-leaf display for the minutes over 2 hours of the winning times for the earlier period. Use two lines per stem. (b) Make a stem-and-leaf display for the minutes over 2 hours of the winning times for the recent period. Use two lines per stem. (c) Compare the two distributions. How many times under 15 minutes are in each distribution?
The following plots have been obtained for a time series. a) Suggest an appropriate ARIMA model. b) The following ARIMA output has been obtained from R. Based on this output, which model would you recommend for forecasting?
Consider the accompanying time series. a. Forecast the demand for each quarter in Year 4 using multiplicative decomposition. b. Interpret the meaning of the seasonal components. c. Calculate the MAD for this forecast. Click the icon to view the time series data table. Time Series Data Table Year 1 Quarter 1234 Demand 33 19 255 26 15 Quarter 1 2 3 A W 4 Year 2 Print Demand 26 18 25 8 Done Quarter 1 234 Year 3 2 Demand 28 15 23 5 n X

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