Question

Here is a bivariate data set.

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

69.7 | 98.7 |

61 | 105.6 |

61.5 | 114.2 |

64.9 | 115.3 |

50.9 | 48.5 |

64.8 | 74 |

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

*r* =

Answer #1

Solution:

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

69.7 | 98.7 | 6879.39 | 4858.09 | 9741.69 |

61 | 105.6 | 6441.6 | 3721 | 11151.36 |

61.5 | 114.2 | 7023.3 | 3782.25 | 13041.64 |

64.9 | 115.3 | 7482.97 | 4212.01 | 13294.09 |

50.9 | 48.5 | 2468.65 | 2590.81 | 2352.25 |

64.8 | 74 | 4795.2 | 4199.04 | 5476 |

n | 6 |

sum(XY) | 35091.11 |

sum(X) | 372.80 |

sum(Y) | 556.30 |

sum(X^2) | 23363.20 |

sum(Y^2) | 55057.03 |

Numerator | 3158.02 |

Denominator | 5003.36 |

r | 0.6312 |

r square | 0.3984 |

Xbar(mean) | 62.1333 |

Ybar(mean) | 92.7167 |

SD(X) | 5.7720 |

SD(Y) | 24.0789 |

b | 2.6331 |

a | -70.8858 |

r = **0.631**

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