Question

**Please round all answers to 2 decimal
places.**

Given the table below, use your calculator to find the Correlation
Coefficient

xx |
3.6 | 5.6 | 9.3 | 5.5 | 9.1 | 1.2 |
---|---|---|---|---|---|---|

yy |
8.9 | 19.3 | 22 | 12.6 | 27.7 | 10.5 |

Answer #1

**Solution :**

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

3.6 | 8.9 | 32.04 | 12.96 | 79.21 |

5.6 | 19.3 | 108.08 | 31.36 | 372.49 |

9.3 | 22 | 204.6 | 86.49 | 484 |

5.5 | 12.6 | 69.3 | 30.25 | 158.76 |

9.1 | 27.7 | 252.07 | 82.81 | 767.29 |

1.2 | 10.5 | 12.6 | 1.44 | 110.25 |

n |
6 |

sum(XY) |
678.69 |

sum(X) |
34.30 |

sum(Y) |
101.00 |

sum(X^2) |
245.31 |

sum(Y^2) |
1972.00 |

Numerator |
607.84 |

Denominator |
694.08 |

r |
0.8757 |

The Correlation Coefficient r,

r = 0.8757

**r = 0.88**

**Answer : ** **The Correlation
Coefficient r is 0.88**

1.)
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ˆyy^ = + xx
x
y
2
7.2
3
5.85
4
9.5
5
7.35
6
7.9
7
8.85
8
8.2
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(Round your answers to 2 decimal places.)
x
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c.
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0.025
d.
P(F(6,15) < x) =
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796
3,205
867
4,147
1,139
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1,106
5,496
828
4,428
997
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89
19
77
50
81
53
62
80
70
52
55
3
85
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Ship Cost (Y)
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4,443
1,084
5,671
727
3,358
823
4,138
1,142
4,792
1,189
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Initial
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$
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