# 1

Five children aged 2, 3, 5, 7 and 8 years old weigh 14, 20, 32, 42 and 44 kilograms respectively.

1 Find the equation of the regression line of age on weight.

2 Based on this data, what is the approximate weight of a six year old child?

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

2 | 14 | 4 | 196 | 28 |

3 | 20 | 9 | 400 | 60 |

5 | 32 | 25 | 1,024 | 160 |

7 | 42 | 49 | 1,764 | 294 |

8 | 44 | 64 | 1,936 | 352 |

25 | 152 | 151 | 5,320 | 894 |

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