A person has entered weekly football pools and has noted the number of correct predictions he has made over four weeks in February. The correct predictions are represented in the following table:

Pools (X) | 6 | 8 | 6 | 8 |

No. of Correct Predictions (Y) | 1 | 2 | 2 | 1 |

Determine the linear correlation coefficient and interpret it. Based on the success this individual has experienced in February, should potential betters have confidence in his predictions?

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

6 | 1 | 6 | 36 | 1 |

8 | 2 | 16 | 64 | 4 |

6 | 2 | 12 | 36 | 4 |

8 | 1 | 8 | 64 | 1 |

28 | 6 | 42 | 200 | 10 |

There is no correlation between both variables, therefore potential betters should not have confidence in future predictions.

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