Bounce/cm |
---|

72 |

73 |

77 |

77 |

77 |

78 |

80 |

81 |

82 |

83 |

83 |

84 |

84 |

86 |

87 |

88 |

91 |

109 |

A golf ball was dropped and bounce heights in centimeters were measured as seen in the table. Use the data in the table to answer the following questions.

- __________ What is the level of measurement?
- __________ Find the sample size n.
- __________ Find the minimum.
- __________ Find the maximum.
- __________ Find the range.
- __________ Find the mode.
- __________ Find the median.
- __________ Find the sample mean x.
- __________ Find the sample standard deviation sx.
- __________ Find the sample coefficient of variation CV.
- z = __________ Use the formula z = (x − x)/sx to find the z-score for a bounce of 72 cm. Use the sample mean and sample standard deviation from above.
- _________________ Is a bounce of 72 cm an ordinary or an unusual bounce value?
- z = __________ Find the z-score for a bounce of 109 cm.
- _________________ Is a bounce of 109 cm an ordinary or an unusual bounce value?

Bounce number (x) | Bounce height/cm (y) |
---|---|

1 | 82 |

2 | 68 |

3 | 55 |

4 | 45 |

5 | 37 |

6 | 32 |

- ______________ Determine the slope of the best fit line for the data.
- ______________ Determine the y-intercept of the best fit line for the data.
- ______________ Use the slope and intercept above to calculate the predicted bounce height for the seventh bounce.
- ______________ Use the slope and intercept to solve for the predicted bounce number that will produce a bounce of 7.8 cm.
- Toughie critical thinking question: The y-intercept is a height in centimeters. What is the meaning of this height?

Linear Regression Functions | |||
---|---|---|---|

Statistic or Parameter | Math symbol | Stat symbol | OpenOffice |

Slope | m | b | =slope(y-data;x-data) |

Intercept | b | a | =intercept(y-data;x-data) |

Correlation | r | =correl(y-data;x-data) | |

Coefficient of Determination | r^{2} |
=(correl(y-data;x-data))^2 |