- Interpret the strength of a linear association between two variables in a scatter plot
- Calculate and interpret the correlation coefficient for a given data set
- Calculate and interpret the coefficient of determination for a given data set
- Construct a regression line for given data
- Use a regression equation for prediction of a population parameter
- Find and use the standard error of the estimate for a regression line

This assignment uses correlation and regression to determine the relationship between two variables.

Answers to exercise questions.

Find solutions to the following problems. Be sure to include a statement about significance and variability between the variables.

- In a study of caffeine and stress, college students indicate how many cups of coffee they drink per day and their stress level on a scale of 1-10. The data appear below:

Number of Cups of Coffee |
Stress Level |

3 | 5 |

2 | 3 |

4 | 3 |

6 | 9 |

5 | 4 |

1 | 2 |

7 | 10 |

3 | 5 |

Â |
Â |

Â = 3.88 |
Â = 5.13 |

s = 2.03 |
s = 2.90 |

- Determine the regression equation for predicting stress level from the amount of coffee per day one consumes.
- Predict the stress level for someone who drinks 8 cups of coffee a day

Subject | Mathematics |

Due By (Pacific Time) | 05/01/2015 12:00 am |

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