Smoothing a Time Series Using Moving Means (VCE SSCE General Mathematics): Quizzes

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Smoothing a Time Series Using Moving Means
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What is the main purpose of smoothing a time series?

To reduce short-term fluctuations

Which points are lost when using three-moving mean?

First and last points

Which points are lost when using five-moving mean?

First two and last two points

When is centring required in moving mean smoothing?

For even-numbered moving means

Calculate three-moving mean for 1515, 2121, 1818.

1818

What effect does using more data points in moving mean have?

Produces a smoother line

How many data values are needed for four-moving mean with centring?

Five values

How many values are needed for six-moving mean with centring?

Seven values

What is the trade-off of using larger moving means?

Lose more data points at ends

Which type of moving means do NOT require centring?

Odd-numbered moving means

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