For X = 6, provide 99% confidence intervals for:

a) the mean service time (Y_h),

b) a new observation of service time (Y_h(new)), and

c) the boundary value of the confidence band for the regression line.

d) How do the three intervals just generated compare, and does this comparison make sense? Justify the answer. use the data below and explain in details

| Y service time | X no of copier serviced

| |----- |----- |

| 20 |2 |

| 60 |4 |

| 46 | 3 |

| 41 | 2 |

| 12 | 1 |

| 137 |10 |

| 68 | 5 |

|89 | 5 |

| 4 | 1 |

| 32 | 2 |

| 144 | 9 |

| 156 | 10 |

| 93 | 6 |

| 36 | 3 |

| 72 | 4 |

| 100 | 8 |

| 105 | 7 |

| 131 | 8 |

| 127 | 10 |

| 57 | 4 |

| 66 | 5 |

| 101 | 7 |

| 109 | 7 |

| 74 | 5 |

| 134 | 9 |

| 112 | 7 |

| 18 | 2 |

| 73 | 5 |

| 111 | 7 |

| 96 | 6 |

| 123 | 8 |

| 90 | 5 |

| 20 | 2 |

| 28 | 2 |

| 3 | 1 |

| 57 | 4 |

| 86 | 5 |

| 132 | 9 |

| 112 | 7 |

| 27 | 1 |

| 131 | 9 |

| 34 | 2 |

| 27 | 2 |

| 61 | 4 |

| 77 | 5 |