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Sum

**Solve the following problem :**

Obtain trend values for data in Problem 19 using 3-yearly moving averages.

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#### Solution

Construct the following table for finding 3-yearly moving averages:

Year t |
Yield (in '000 tonnes) y _{t} |
3–yearly moving total |
3–yearly moving averages trend value |

1959 | 0 | – | – |

1960 | 1 | 3 | 1 |

1961 | 2 | 6 | 2 |

1962 | 3 | 6 | 2 |

1963 | 1 | 4 | 1.3333 |

1964 | 0 | 5 | 1.6667 |

1965 | 4 | 5 | 1.6667 |

1966 | 1 | 7 | 2.3333 |

1967 | 2 | 13 | 4.3333 |

1968 | 10 | – | – |

Concept: Measurement of Secular Trend

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