This is my take on Time Series Data. Taking Sunspot data, I have tried to explain every step involved and links are provided for further study.I have analysed two more Data Set so that few more steps/processes can be shown used while dealing Time Series data.

1. Time series Exploratory Analysis
2. Concepts of different Averages used for approximating TS
3. lag plots
4. Stationarity
5. Autocorrelation/Partial autocorrelation
6. How to select (p,q) for ARIMA models
7. AutoArima
8. Forecasting a few time steps in the future.
9. Many other helping operations in pandas

10. One Non-stationary data is also analyzed where stationarity is achieved through the decomposition and trend is subtracted.ENZ_DATA_CENTER
11. Converting predicted value back to its original scale.

12. In this example Stationary is achieved through log and differenciation.
13. After prediction for conveting back to its original scale cumsum and antilog steps are taken.