Modeling Time Series Data - Recap

Key Takeaways

The key takeaways from this section include:

  • A white noise model has a fixed and constant mean and variance, and no correlation over time
  • A random walk model has no specified mean or variance, but has a strong dependence over time
  • The Pandas .corr() method can be used to return the correlation between various time series in the DataFrame
  • Autocorrelation allows us to identify how strongly each time series observation is related to previous observations
  • The Autocorrelation Function (ACF) is a function that represents autocorrelation of a time series as a function of the time lag
  • The Partial Autocorrelation Function (or PACF) gives the partial correlation of a time series with its own lagged values, controlling for the values of the time series at all shorter lags
  • ARMA (Autoregressive and Moving Average) modeling is a tool for forecasting time series values by regressing the variable on its own lagged (past) values
  • ARMA models assume that you've already detrended your data and that there is no seasonality