A sample of $10\text{ students}$ were randomly selected and observed for a week to determine how many hours they spent on the Internet in a given week.

Student | Internet Usage | GPA |
---|---|---|

1 | 20 | 2.2 |

2 | 12 | 3.2 |

3 | 18 | 2.6 |

4 | 16 | 2.7 |

5 | 8 | 3.8 |

6 | 22 | 2.5 |

7 | 14 | 2.8 |

8 | 5 | 3.9 |

9 | 19 | 2.4 |

10 | 10 | 3.4 |

The observations were recorded along with each student’s GPA in the table above. The below is a computer output based on the data:

Coefficients | Standard Error | t-Stat | |
---|---|---|---|

Intercept | 4.423894437 | 0.154493021 | 28.6349145 |

Internet Usage | -0.10235378 | 0.010069447 | -10.164786 |

What is the equation for a $95\%$ confidence interval on the true slope?

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