# 5

The heights (in centimeters) and weight (in kilograms) of 10 basketball players of a team are:

Height (X) | 186 | 189 | 190 | 192 | 193 | 193 | 198 | 201 | 203 | 205 |

Weight (Y) | 85 | 85 | 86 | 90 | 87 | 91 | 93 | 103 | 100 | 101 |

Calculate:

1 The regression line of y on x.

2 The coefficient of correlation.

3 The estimated weight of a player who measures 208 cm.

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

186 | 85 | 34,596 | 7,225 | 15,810 |

189 | 85 | 35,721 | 7,225 | 16,065 |

190 | 86 | 36,100 | 7,396 | 16,340 |

192 | 90 | 36,864 | 8,100 | 17,280 |

193 | 87 | 37,249 | 7,569 | 16,791 |

193 | 91 | 37,249 | 8,281 | 17,563 |

198 | 93 | 39,204 | 8,649 | 18,414 |

201 | 103 | 40,401 | 10,609 | 20,703 |

203 | 100 | 41,209 | 10,000 | 20,300 |

205 | 101 | 42,025 | 10,201 | 20,705 |

1,950 | 921 | 380,618 | 85,255 | 179,971 |

There is a strong positive correlation.

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