Time Series Analysis Basics
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Questions and Answers

What does a stationary time series indicate about its statistical properties?

  • They will eventually become non-stationary.
  • They can only be analyzed during certain periods.
  • They remain constant over time. (correct)
  • They vary over time.

In which forecasting method is the average of the most recent k data values used to predict the next period?

  • Exponential smoothing
  • Cyclical forecasting
  • Moving averages (correct)
  • Weighted moving averages

What characterizes a seasonal pattern in a time series?

  • Repeating values at fixed intervals, often yearly. (correct)
  • Values that fluctuate randomly over time.
  • A gradual increase in values over time.
  • An alternating sequence of values above and below the trend.

What does the mean absolute percentage error (MAPE) measure in a time series?

<p>The average of the absolute values of the percentage forecast errors. (D)</p> Signup and view all the answers

Which of the following best describes a trend pattern in a time series?

<p>Gradual shifts to higher or lower values over time. (C)</p> Signup and view all the answers

What is required when using weighted moving averages for forecasting?

<p>The sum of the weights must equal 1. (B)</p> Signup and view all the answers

What does forecast error represent in time series analysis?

<p>The difference between actual values and forecasts. (C)</p> Signup and view all the answers

What does the smoothing constant in exponential smoothing influence?

<p>The weight given to the most recent observation. (C)</p> Signup and view all the answers

Which characteristic identifies a recurrent pattern in data over specific periods in a time series?

<p>Seasonal pattern (D)</p> Signup and view all the answers

What does the mean squared error (MSE) assess in a time series forecasting model?

<p>The average of the sum of squared forecast errors (B)</p> Signup and view all the answers

What is the main difference between moving averages and weighted moving averages?

<p>Weighted moving averages assign different weights to data values (C)</p> Signup and view all the answers

In a time series analysis, how can one determine the presence of a trend?

<p>By evaluating gradual shifts in the plot over time (B)</p> Signup and view all the answers

What does the term 'forecast error' refer to?

<p>The divergence between actual time series values and forecasts (D)</p> Signup and view all the answers

Which forecasting method involves selecting one weight for the latest observation?

<p>Exponential smoothing (C)</p> Signup and view all the answers

What is a defining feature of a stationary time series?

<p>Its statistical properties remain constant over time (C)</p> Signup and view all the answers

What does the smoothing constant influence in an exponential smoothing model?

<p>The weight given to the most recent observation (A)</p> Signup and view all the answers

Flashcards

Stationary Time Series

A time series with statistical properties that don't change over time; constant mean and constant variability.

Time Series

A sequence of observations of a variable measured over time, or in successive periods.

Trend Pattern

A gradual upward or downward movement in a time series over a long period.

Seasonal Pattern

A repeating pattern in a time series that occurs over a fixed period, often a year.

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Forecast Error

The difference between the actual value and the predicted value in a forecast.

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Moving Average

A forecasting method that uses the average of recent data points to predict the next value.

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Exponential Smoothing

A forecasting method giving more weight to recent observations than older one in the calculation.

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Smoothing Constant

A parameter in exponential smoothing that controls the weight given to the most recent observation, indicating its importance.

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Time Series Plot

A graph showing how a variable changes over time.

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Stationary Time Series

Time series with consistent statistical properties over time.

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Trend Pattern (Time Series)

Gradual increase or decrease in a time series over a long period.

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Seasonal Pattern (Time Series)

Repeating pattern in time series, often yearly.

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Moving Averages

Forecasting method using a series' average of past data.

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Forecast Error

Difference between actual and predicted values

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Weighted Moving Averages

Forecasting using weighted averages of recent data.

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Exponential Smoothing

Forecasting with more weight given to recent data.

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Study Notes

Time Series

  • A sequence of observations on a variable measured over time or successive periods.

Time Series Plot

  • Shows the relationship between time and the time series variable.
  • Time on the horizontal axis.
  • Time series values on the vertical axis.

Stationary Time Series

  • Statistical properties do not change over time.
  • Constant mean.
  • Constant variability.

Trend Pattern

  • Gradual upward or downward movement over a longer period in a time series plot.

Seasonal Pattern

  • Repeating pattern over successive periods, often yearly.

Cyclical Pattern

  • Alternating sequence of points above and below the trend line, lasting more than one year.

Forecast Error

  • Difference between actual and forecast values.

Forecasting Metrics

  • Mean Absolute Error (MAE): Average of absolute forecast errors.
  • Mean Squared Error (MSE): Average of squared forecast errors.
  • Mean Absolute Percentage Error (MAPE): Average of absolute percentage forecast errors.

Moving Averages

  • Forecasting method using the average of the most recent k data values.

Weighted Moving Averages

  • Forecasting method assigning different weights to recent data points.
  • Sum of weights equals 1.

Exponential Smoothing

  • Forecasting method using a weighted average of past values.
  • Special case of weighted moving averages using only one weight (most recent).

Smoothing Constant

  • Parameter in exponential smoothing.
  • Weight assigned to the most recent time series value.

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Dive into the essentials of time series analysis with this quiz. Covering key topics such as stationary series, trend patterns, and forecasting metrics, it will help you grasp the foundational concepts of analyzing data over time. Perfect for students and professionals looking to enhance their understanding of time series data.

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