Exponential Trend Analysis Quiz

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Questions and Answers

What is the main characteristic of simple exponential smoothing?

  • Has multiple smoothing constants
  • Uses a single smoothing constant denoted by α (correct)
  • Incorporates a linear trend component
  • Relies heavily on past observations

Which type of series is simple exponential smoothing appropriate for?

  • Series with no pronounced trend or seasonality (correct)
  • Series with linear regression
  • Series with trend but no seasonality
  • Series with seasonality and possibly trend

What range can the smoothing constant in exponential smoothing models typically fall within?

  • Between 1 and 10
  • Between -1 and 0
  • Between 0 and 100
  • Between 0 and 1 (correct)

What does the level of the series at time t represent in simple exponential smoothing?

<p>An estimate of where the series would be without random noise (D)</p> Signup and view all the answers

Which exponential smoothing method is appropriate for a series with seasonality?

<p>Winters’ method (A)</p> Signup and view all the answers

What distinguishes Holt’s method from simple exponential smoothing?

<p>Incorporates trend but no seasonality (B)</p> Signup and view all the answers

What is one of the summary measures of forecast errors typically reported by forecasting software packages?

<p>Median Absolute Error (C)</p> Signup and view all the answers

What does a small value of MAPE (Mean Absolute Percentage Error) guarantee about a model's forecasting accuracy?

<p>The model is not suitable for forecasting (D)</p> Signup and view all the answers

What does a negative average of forecast errors indicate about a model's forecasting behavior?

<p>The model tends to overestimate future values (A)</p> Signup and view all the answers

Which measure is usually minimized to select the best forecasting model from a given class in some software packages?

<p>Root Mean Square Error (D)</p> Signup and view all the answers

In forecasting, what does it mean if the average of forecast errors is positive?

<p>The model tends to overestimate future values (B)</p> Signup and view all the answers

Why is it important to consider more than one measure of forecast error when evaluating forecasting models?

<p>To ensure robustness in model selection (D)</p> Signup and view all the answers

What is the appropriate regression equation for an exponential trend?

<p>$y_t = ce^{bt}u_t$ (C)</p> Signup and view all the answers

How can you achieve linearity when dealing with an exponential trend?

<p>By taking the natural logarithm of both sides of the equation (A)</p> Signup and view all the answers

What does the coefficient $b$ (expressed as a percentage) represent in an exponential trend model?

<p>The constant percentage change per period (B)</p> Signup and view all the answers

Why is the original exponential regression equation not useful for estimation?

<p>Because it is not linear in the parameters (B)</p> Signup and view all the answers

What is the characteristic of a time series that exhibits an exponential trend?

<p>The time series changes by a constant percentage each period (A)</p> Signup and view all the answers

If a time series exhibits an exponential trend, what should the plot of its logarithm look like?

<p>Approximately linear (D)</p> Signup and view all the answers

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