Question

Suppose we have the following values for the linear function relating X and Y (where Y is the dependent variable and X is the independent variable:

X Y

0 45

1 25

2 5

What is the value of the slope for this straight line?

Answer #1

Solution :

X | Y | XY | X^2 | Y^2 |

0 | 45 | 0 | 0 | 2025 |

1 | 25 | 25 | 1 | 625 |

2 | 5 | 10 | 4 | 25 |

n | 3 |

sum(XY) | 35.00 |

sum(X) | 3.00 |

sum(Y) | 75.00 |

sum(X^2) | 5.00 |

sum(Y^2) | 2675.00 |

Numerator | -120.00 |

Denominator | 120.00 |

r | -1.0000 |

r square | 1.0000 |

Xbar(mean) | 1.0000 |

Ybar(mean) | 25.0000 |

SD(X) | 0.8165 |

SD(Y) | 16.3299 |

b | -20.0000 |

a | 45.0000 |

b = -20.0

**The value of the slope for this straight line is -20.0
.**

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