# 8

The number of offenses committed in the past year by four drivers of a transport company and their respective experience in years is represented by the following table:

Years (x) | 3 | 4 | 5 | 6 |

Offenses (y) | 4 | 3 | 2 | 1 |

Calculate the linear correlation coefficient and interpret it.

x_{i} |
y_{i} |
x_{i} ·y_{i} |
x_{i}^{2} |
y_{i2 } |
---|---|---|---|---|

3 | 4 | 12 | 9 | 16 |

4 | 3 | 12 | 16 | 9 |

5 | 2 | 10 | 25 | 4 |

6 | 1 | 6 | 36 | 1 |

18 | 10 | 40 | 86 | 30 |

There is a perfect and negative correlation.

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