The regression equations are

$y=16+1.6x$

and

$x=-1+0.4y$

* Example 6.10*: For the following data, find the regression line of

x |
1 | 2 | 3 | 4 | 5 | 8 | 10 |

y |
9 | 8 | 10 | 12 | 14 | 16 | 15 |

* Solution*: We have

x |
y |
xy |
x^{2} |

1 | 9 | 9 | 1 |

2 | 8 | 16 | 4 |

3 | 10 | 30 | 9 |

4 | 12 | 48 | 16 |

5 | 14 | 70 | 25 |

8 | 16 | 128 | 64 |

10 | 15 | 150 | 100 |

Total:

$\sum {x}_{i}=33,\sum {y}_{i}=84,\sum {x}_{i}^{2}=219,\sum {x}_{i}{y}_{i}=451$

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