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Q.12.10

Expert-verifiedFound in: Page 714

Book edition
OER 2018

Author(s)
Barbara Illowsky, Susan Dean

Pages
902 pages

ISBN
9781938168208

A specialty cleaning company charges an equipment fee and an hourly labor fee. A linear equation that expresses the total amount of the fee the company charges for each session is $y=50+100x$.

What are the independent and dependent variables?

The independent variable $x$ is the session in the company and the dependent variable $y$ is the total amount of fee.

Given in the question is a linear equation $y=50+100x$

The independent variable is the variable the researcher operates or changes, and is guessed to contain a direct impact on the dependent variable.

The dependent variable means the variable being experimented and estimated in an investigation, and is 'dependent' on the independent variable.

The given equation $y=50+100x$ shows the total number of fee that the company charges for each session.

So in this, the total amount of fee is depended upon the session.

The session is independent and total number of fee is dependent.

Amelia plays basketball for her high school. She wants to improve to play at the college level. She notices that the number of points she scores in a game goes up in response to the number of hours she practices her jump shot each week. She records the following data:

X (hours practicing jump shot) | Y (points scored in a game) |

5 | 15 |

7 | 22 |

9 | 28 |

10 | 31 |

11 | 33 |

12 | 36 |

Use the following information to answer the next five exercises. A random sample of ten professional athletes produced the following data where $x$ is the number of endorsements the player has and $y$is the amount of money made (in millions of dollars)

x | y | x | y |

0 | 2 | 5 | 12 |

3 | 8 | 4 | 9 |

2 | 7 | 3 | 9 |

1 | 3 | 0 | 3 |

5 | 13 | $4$ | $10$ |

When $n=100$and $r=-0.89$, is there a significant correlation? Explain.

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