Chapter 4: Time Series

'Time Series' refers to the statistical data collected at specific intervals of time and arranged in a chronological order.

Details

Two related variables are studied by different methods in Statistics. A special method is applied to study the dependent variable among these related variables by taking time as an independent variable.
The data related to values of the variables changing with time are studied in Economics, Sociology and Business Statistics. For example, population of a country, agricultural production, wholesale price index, unemployment statistics, import-export information, annual production of a certain factory, data from share market, bank interest rates etc are presented with respect to time.

These are called time series as they are dependent on time.


Curriculum

  • Lecture 1
    14 m 6 s
  • Lecture 2
    23 m 20 s
  • Time Series Quiz
    31 questions
  • 1. Give one example of time series having decreasing trend.
    1 m
  • 2. What is a time series?
    1 m
  • 3. Which of the components of time series produce short-term variation ?
    1 m
  • 4. What is meant by analysis of time series?
    1 m
  • 5. What is the notation to show the cyclical component of the time series ?
    1 m
  • 6. State the names of methods of measuring trend.
    1 m
  • 7. The effect of which component indicates fluctuations repeating within one year?
    1 m
  • 8. State the components of time series.
    1 m
  • 9. When is the method of moving average more useful to find trend?
    1 m
  • 10. The linear equation fitted using the data of 7 weeks for a variable y is = 25.1 - 1.3t. Estimate the value of y for the eight week.
    1 m
  • 11. What is forecasting?
    1 m
  • 12. State the independent variable and dependent variable of time series.
    1 m
  • 13. State the important elements of a time series?
    1 m
  • 14. In which two stages is the analysis of time series done?
    1 m
  • 15. For whom is the analysis of time series useful?
    1 m
  • 16. What are long-term fluctuations?
    1 m
  • 17. State the example of increasing terms of time series.
    1 m
  • 18. Which is the important component in any time series?
    1 m
  • 19. What is linear trend?
    1 m
  • 20. What is meant by 'duration of oscillation'?
    1 m
  • 21. Which component of the time series is important in taking decisions related to economic policy?
    1 m
  • 22. What is meant by seasonal fluctuations?
    1 m
  • 23. What is the duration of oscillation for seasonal fluctuations?
    1 m
  • 24. Give two examples of seasonal fluctuations.
    1 m
  • 25. What is meant by cyclical fluctuations?
    1 m
  • 26. Give two examples of cyclical fluctuations.
    1 m
  • 27. What is the duration of oscillation for cyclical fluctuations?
    1 m
  • 28. How will you obtain cyclical fluctuations?
    1 m
  • 29. By which other name the seasonal and cyclical fluctuations known?
    1 m
  • 30. What are random variations?
    1 m
  • 31. In the study of time series what are random and irregular fluctuations?
    1 m
  • 32. State the factors responsible for random or irregular fluctuation.
    1 m
  • 33. Which type of fluctuations in time series cannot be controlled nor predicted in advance?
    1 m
  • 34. Due to which component of time series can an error occur in estimated value?
    1 m
  • 35. What is the estimation method of trend?
    1 m
  • 36. Why is the time series model 'I' called an additive model?
    1 m
  • 37. Write the additive model of the time series.
    1 m
  • 38. How will you draw the graph of a time series?
    1 m
  • 39. State the linear trend model of the time series.
    1 m
  • 40. State the main limitation of the graphical method of the time series.
    1 m
  • 41. By which condition the values of constant α and β can be obtain?
    1 m
  • 42. What error is shown by variable Uₜ of time series?
    1 m
  • 43. State the fitted equation of linear trend of the time series.
    1 m
  • 44. What is called the formula of forecasting linear trend of the time series?
    1 m
  • 45. How will you find the values of 'a' and 'b' in the fitted equation of linear trend?
    1 m
  • 46. When is the method of least squares not useful in the trend line?
    1 m
  • 47. In which method the future estimates do not change subjectively with the person?
    1 m
  • 48. Which component is 'Population density during the year 1901 to 2011' ?
    1 m
  • 49. By which method is the effect of short-term component eliminated to a large extent?
    1 m
  • If the equation y = 45.8 - 1.8 t is for the value of variable from January to September, then find the estimated value for December.
    1 m
  • Chapter 4 Practice Material
    520 KB
  • Statistics Important Theory
    2.9 MB
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