Question

Here is a bivariate data set.

x | y |
---|---|

17 | 85 |

36 | -0 |

32 | -7 |

37 | 11 |

56 | -50 |

18 | 87 |

40 | 3 |

5 | 64 |

24 | 28 |

Find the correlation coefficient and report it accurate to four
decimal places.

*r* =

Answer #1

Solution:

X | Y | XY | X^2 | Y^2 |

17 | 85 | 1445 | 289 | 7225 |

36 | 0 | 0 | 1296 | 0 |

32 | -7 | -224 | 1024 | 49 |

37 | 11 | 407 | 1369 | 121 |

56 | -50 | -2800 | 3136 | 2500 |

18 | 87 | 1566 | 324 | 7569 |

40 | 3 | 120 | 1600 | 9 |

5 | 64 | 320 | 25 | 4096 |

24 | 28 | 672 | 576 | 784 |

n | 9 |

sum(XY) | 1506.00 |

sum(X) | 265.00 |

sum(Y) | 221.00 |

sum(X^2) | 9639.00 |

sum(Y^2) | 22353.00 |

Numerator | -45011.00 |

Denominator | 50174.74 |

r | -0.8971 |

r square | 0.8048 |

Xbar(mean) | 29.4444 |

Ybar(mean) | 24.5556 |

SD(X) | 13.1360 |

SD(Y) | 49.6957 |

b | -2.7236 |

a | 104.7518 |

r = **-0.8971**

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