Question

A recent sample of college students 13 resulted in the following measures of heights and weights.

Name | Height (cm) | Weight (kg) |
---|---|---|

Cedric | 172 | 82.2 |

Orla | 190 | 80.4 |

Stefan | 189 | 77.4 |

Mary | 150 | 67.0 |

Radu | 160 | 61.1 |

Aida | 199 | 89.4 |

Zoe | 182 | 86.0 |

Sanjeev | 168 | 82.5 |

Marc | 171 | 86.1 |

Dalya | 167 | 51.6 |

Cody | 198 | 97.0 |

Becky | 192 | 97.5 |

Chauncey | 174 | 64.3 |

**a)** Use a statistical calculator or spreadsheet to
find the coefficient of correlation for the data.

For full marks your answer should be accurate to at least three
decimal places.

Coefficient of correlation: 0

**b)** Approximately what percent of the variation in
weight in the sample is explained by variation in height?

For full marks your answer should be accurate to at least one
decimal place.

Percent Explained: 0%

Answer #1

The statistic software output for this problem is:

**(a)**

The coefficient of correlation for the data is :
**0.703**

**(b)**

**R square = 0.4939**

**49.4%** of the variation in weight in the sample
is explained by variation in height .

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