150 120 wwwwwww MM 30 14 ii) 21 28 days 35 42 49 56 (a) The Figure above shows simulated data on the number of people (in thousands) who use public transport every day in Melbourne. i) Does this time series exhibit a time trend? If there is a time trend, explain what could explain this trend. Does this time series exhibit seasonality? What statistical test could you perform to test whether there is seasonality? If there is seasonality, explain what could explain this seasonal pattern.
150 120 wwwwwww MM 30 14 ii) 21 28 days 35 42 49 56 (a) The Figure above shows simulated data on the number of people (in thousands) who use public transport every day in Melbourne. i) Does this time series exhibit a time trend? If there is a time trend, explain what could explain this trend. Does this time series exhibit seasonality? What statistical test could you perform to test whether there is seasonality? If there is seasonality, explain what could explain this seasonal pattern.
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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Transcribed Image Text:150
30
0
www
ii)
14
i)
21
ii)
28
days
35
42
(a) The Figure above shows simulated data on the number of people (in thousands)
who use public transport every day in Melbourne.
i)
49
56
Does this time series exhibit a time trend? If there is a time trend, explain
what could explain this trend.
(b) Consider the following estimated model of industrial production (Y), which uses
quarterly data from 2001q1 to 2022q4 and includes a constant, a time trend (t)
and 3 seasonal dummy variables (Q1, Q2, and Q3) in the equation.
Does this time series exhibit seasonality? What statistical test could you
perform to test whether there is seasonality? If there is seasonality,
explain what could explain this seasonal pattern.
log(Y) = 6.01 +0.05t -0.0201 -0.03Q2 -0.0103
Interpret the estimated coefficients for the time trend and three seasonal
dummies.
Based on the estimated equation above, what would be the forecast for
industrial production for the first quarter of 2024?
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