Consider the following techniques of transforming time series data. Choose all that apply 3. Fitting a regression model of the series on a periodic function (e.g. sine wave of a fixed period) of the time index andsubtracting off the fitted model from the series.What could this method achieve? (Choose all that apply.)remove a linear trendremove a nonlinear trendremove increasing varianceremove seasonal variation4. Differencing the data one or more times.What could this method achieve? (Choose all that apply.)remove a linear trendremove a nonlinear trendremove increasing varianceremove seasonal variation

Given two techniques of transforming time series data.

Answered: 3. Fitting a regression model of the…

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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Sp is forever
Changes in the earth's rotation are exceedingly small. However, a very long-term trend could be important. (Reference: Journal of Astronomy, Vol. 57, pp. 125-146.) Let I represent an increase and D a decrease in the rate of the earth's rotation. The following sequence represents historical increases and decreases measured every consecutive fifth year. D D D D D D I I D D D D D I I I I I I I I I I D I I I I I Test the sequence for randomness. Use ? = 0.05. (a) What is the level of significance? (b) Find the sample test statistic R, the number of runs. (c) Find the upper and lower critical values in the Critical Values for Number of Runs R table.
Respond to each of the items using the following time series data. Period Demand 1 104 2 132 3 117 4 120 5 104 6 141 7 120 8 136 9 109 10 143 11 142 12 109 13 113 14 124 15 113 16 107
Matthew the Barber owns a one-chair shop. At barber college, they told Matthew that his customers would exhibit a Poisson arrival distribution and that he would provide an exponential service distribution. His market survey data indicate that customers arrive at a rate of two per hour. It will take Matthew an average of 20 minutes to give a haircut. Based on these figures, find the following: Part (a): The average number of customers waiting. Part (b): The average time a customer waits. Part (c): The average time a customer is in the shop. Part (d): The average utilization of Matthew's time.
Show work for every step. Two types of customers (Preferred and Regular) call a service center. Preferred customers call with rate 3 per hour, and Regular customers call with rate 5 per hour. The interarrival times of the calls for each customer type are exponentially distributed. If the call center opens at 8:00 AM, what is the probability that the first call (regardless of customers type who calls) is received before 8:15 AM?
Question 2: Find the trend for the time series using moving average method. Forecast for Year 4 quarter 4 Year Sales (000's) Quarter 1 Quarter 2 Quarter 3 Quarter 4 1 25 42 55 36 16 50 53 40 28 58 69 59 2N 3.
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
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: 15 19 6 13 10 16 7 17 14 16 23 14 13 20 18 23 22 10 16 13 Recent Period: 7 11 8 9 10 7 10 7 8 14 7 9 7 9 9 9 14 8 9 8 (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. For more details, view How to Split a Stem.) 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…

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