Investigating and modelling time series

General Maths Units 3 and 4 (2023+)

Introduction

RECAP: Finding the mean of some data

Example

Example 2

Plotting raw data on the CAS

Two-mean smoothing with centring

Example 3

Example 4

VCAA Question

VCAA Question

VCAA Question

Summary

This is the second video in a series of 5 which looks at Time Series for the Further Maths Units 3 and 4 course. To be able to find trends in data it makes sense to smooth the random fluctuations. This can be done in a number of ways. The first I look at is through mean smoothing. I look at both odd numbers of data and even numbers of data items using examples for each. I conclude the video, like all others, by solving some VCAA questions which relate directly to this content area.

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VCE Maths exam question content used by permission, ©VCAA. The VCAA is not affiliated with, and does not endorse, this video resource. VCE® is a registered trademark of the VCAA. Past VCE exams and related content can be accessed at www.vcaa.vic.edu.au

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Video tags

vce maths
Smoothing a time series using moving means
further maths
year 12 further
vce further
further units 3 and 4
further 3 and 4
time series
moving means
smoothing using moving means
how to I do moving means
three moving means
five moving means
two moving means with centring